Homework 1 – Foundation Revision Homework 2 – Percentages, Rounding Homework 3 – Direct...

Homework 1 – Foundation Revision

Homework 2 – Percentages, Rounding

Homework 3 – Direct Proportion, Area of Circle, Circumference of Circle, Wages

Homework 4 – Evaluating Formulae

Homework 5 – Foreign Exchange, Volume

Homework 6 –

Homework 7 - House Insurance, Hire Purchase

Homework 9 – Revision for NAB (LO1 and LO2)

Homework 8 -


Int 1 Maths Mixed Homework Exercise 1

1)136 pupils and 8 teachers go on an excursion.

3) A butcher sells fillet steak for £9•50 per kg and mince for 88p per kg.

4)

5)

6) Find the area and perimeter of this shape.

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

C=/ *789–

456+

123

0 . =

C=/ *789–

456+

123

0 . =

2) Write in order, (smallest number first)

How many 42 seater coaches are needed?

How many empty seats will there be?

a)

b)

1•01, 0•08, 0•8, 1•011, 1•1, 1•08

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

How much would 500 grams of fillet steak and 3 kg of mince cost?

C=/ *789–

456+

123

0 . =

A shopkeeper buys in a case of 48 cans of coke for £14•40. He hopes to make a 30% profit when he sells them.

a)How much profit does he hope to make when he sells the whole case?

For how much must he sell each can to make this profit?b)

Find the volume of this cuboid.C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

12 cm

8 cm

5 cm

5 m

9 m

6 m

4 m


1)136 pupils and 8 teachers go on an excursion.

3) A butcher sells fillet steak for £9.50 per kg and mince for 88p per kg.

4)

5)

6) Find the area and perimeter of this shape.

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

C=/ *789–

456+

123

0 . =

2) Write in order, (smallest number first)

How many 42 seater coaches are needed?

How many empty seats will there be?

a)

b)

1•01, 0•08, 0•8, 1•011, 1•1, 1•08

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

How much would 500 grams of fillet steak and 3 kg of mince cost?

C=/ *789–

456+

123

0 . =

A shopkeeper buys in a case of 48 cans of coke for £14•40. He hope to make a 30% profit when he sells them.

a)

For how much must he sell each can to make this profit?b)

Find the volume of this cuboid.C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

12 cm

8 cm

5 cm

5 m

9 m

6 m

4 m

How much profit does he hope to make when he sells the whole case?


1)

3)

4)

5)

Jack places £2000 into a savings account.How much would he expect to have after one year?

C=/ *789–

456+

123

0 . =

2)

a)

b)

Plot the following points on a coordinate diagram.A(1,2) B(1,6) C(9,6) D(9,2)

a)

What shape do you get if you join the points A, B, C and D?

What are the coordinates of E, the middle of this shape?

b)

Round 875•975

to the nearest whole number.

to the nearest 10.

c)

d)

to the nearest 100.

to two decimal places.

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

A weekend break to Prague usually costs £432.The travel agents are having a sale.All holidays have 10% off.How much does it cost to go to Prague now?

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

c)

Here are your S4 test results. In which subject did you do best in?History

Maths Biology

French83100

4250

1620

1825

a)

Northern Bank

Earn 4•5% interest pa on savings up to £3000

Earn 5•5% interest pa on savings over £3000

b)Shona places £3500 into a savings account.How much would she expect to have after one year?


1)

3)

4)

5)

Jack places £2000 into a savings account.How much would he expect to have after one year?

C=/ *789–

456+

123

0 . =

2)

a)

b)

Plot the following points on a coordinate diagram.A(1,2) B(1,6) C(9,6) D(9,2)

a)

What shape do you get if you join the points A, B, C and D?

What are the coordinates of E, the middle of this shape?

b)

Round 875•975


to the nearest 10.

c)

d)

to the nearest 100.


C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

A weekend break to Prague usually costs £432.The travel agents are having a sale.All holidays have 10% off.How much does it cost to go to Prague now?

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

c)

Here are your S4 test results. In which subject did you do best in?History

Maths Biology

French83100

4250

1620

1825

a)

Northern Bank

b)Shona places £3500 into a savings account.How much would she expect to have after one year?

Earn 4•5% interest pa on savings up to £3000

Earn 5•5% interest pa on savings over £3000

C=/ *789–

456+

123

0 . =


1)

3)

4)

6)

C=/ *789–

456+

123

0 . =

2)

Alison can type 250 words in 2 minutes.

a) How many words can she type in 7 minutes?

How long would it take her to type 800 words?b)

You place £2000 in a bank account which offers 3•7% interest pa. How much money is in the account after one year?

Set out and find.C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

A PC normally costs £400.It is reduced to £320 in a sale.

a) 3•14 x 400 b) 9•54 x 30 c) 2•14 x 5000

C=/ *789–

456+

123

0 . =

a) Calculate the actual fall in price.

Express the fall in price as a percentage of the original price.

b)

C=/ *789–

456+

123

0 . =

5) Find the area of the shaded shape.

12 cm

C=/ *789–

456+

123

0 . =

30 cm

8 cm

A car tyre has a radius of 35 cm.

What distance does the car travel when the wheel makes one turn?

a)

b) What distance does the car travel when the wheel makes 50 turns? Give your answer in metres.

C=/ *789–

456+

123

0 . =

7) Sally earns £5•60 an hour.Any overtime is paid at double time.One week Sally works 37 hours basic and 6 hours overtime.How much does Sally earn this week?

C=/ *789–

456+

123

0 . =


1)

3)

4)

C=/ *789–

456+

123

0 . =

2)

Alison can type 250 words in 2 minutes.

a) How many words can she type in 7 minutes?

How long would it take her to type 800 words?b)

You place £2000 in a bank account which offers 3•7% interest pa. How much money is in the account after one year?

Set out and find.C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

A PC normally costs £400.It is reduced to £320 in a sale.

a) 3•14 x 400 b) 9•54 x 30 c) 2•14 x 5000

C=/ *789–

456+

123

0 . =

a) Calculate the actual fall in price.

Express the fall in price as a percentage of the original price.

b)

C=/ *789–

456+

123

0 . =


12 cm

C=/ *789–

456+

123

0 . =

30 cm

8 cm

6) A car tyre has a radius of 35 cm.

What distance does the car travel when the wheel makes one turn?

a)

b) What distance does the car travel when the wheel makes 50 turns? Give your answer in metres.

C=/ *789–

456+

123

0 . =

7) Sally earns £5•60 an hour.Any overtime is paid at double time.One week Sally works 37 hours basic and 6 hours overtime.How much does Sally earn this week?

C=/ *789–

456+

123

0 . =


1)

3)

5)

2)

Calculate:

Mary works for a double glazing company.She earns 6•3% on all sales over £5000.One week Mary sells £24 000 worth of double glazing.How much commission does Mary earn?

C=/ *789–

456+

123

0 . =

4)

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =a) 75% of £332 b) 90% of 892 kgc) 6% of 193 ml d) 17•5% of $400

Thomas works in a supermarket.He earns £6•30 an hour. Overtime is paid at time and a half on a Saturday and double time on a Sunday.Thomas’ hours for last week are shown below.

Day

Hours

Mon Tue Wed Thu Fri Sat Sun

8 0 4 8 0 6 5

Calculate Thomas’ wage for last week.

For a = 5, b = 8, c = 2 and d = 3

a) 6a + 9 b) 12b - 4d

c) 2c2 + 3 d) ab

e) 100 – b2 f) 6acd

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

Round 432•796

a)

b)


to the nearest 10.

c)

d)

to the nearest 100.


C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

6) You get in a Maths test. What percentage is this?60

80


1)

3)

2)

Calculate:

Mary works for a double glazing company.She earns 6•3% on all sales over £5000.One week Mary sells £24 000 worth of double glazing.How much commission does Mary earn?

C=/ *789–

456+

123

0 . =

4)

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =a) 75% of £332 b) 90% of 892 kgc) 6% of 193 ml d) 17•5% of $400

Thomas works in a supermarket.He earns £6•30 an hour. Overtime is paid at time and a half on a Saturday and double time on a Sunday.Thomas’ hours for last week are shown below.

Day

Hours


8 0 4 8 0 6 5

Calculate Thomas’ wage for last week.

For a = 5, b = 8, c = 2 and d = 3

a) 6a + 9 b) 12b - 4d

c) 2c2 + 3 d) ab

e) 100 – b2f) 6acd

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

Round 432•796

a)

b)


to the nearest 10.

c)

d)

to the nearest 100.


C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

6) You get in a Maths test. What percentage is this?60

80

5)

C=/ *789–

456+

123

0 . =

C=/ *789–

456+

123

0 . =


1)

3)

5)

2)C=/ *789–

456+

123

0 . =

4) Find the perimeter of this shape.

Calculate 17•5% of £14•40.

6)

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

7)

C=/ *789–

456+

123

0 . =

To hire a car costs £25 a day and a £40 deposit. How much does it costs to hire a car for 14 days?

Michelle books a weekend break to Dublin.The flight costs €75 and her hotel costs €150.She also pre books a bus tour which costs €25.How much has Michelle spent before she even goeson holiday? Give your answer in pounds and pence.

Exchange Rate: £1 = €1•42

Find the volume of this shape.

12 cm3 cm

5 cm

C=/ *789–

456+

123

0 . =

C=/ *789–

456+

123

0 . =

8 m

11 m

A company bonus scheme means that £63 400 will be shared equally between 200 members of staff.How much will each person receive?

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

a) Find the product of 8 and 7564.

b) Find the difference between 8034 and 5769.

c) Find the sum of the answer to a) and the answer to b).

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =


1)

3)

5)

2)C=/ *789–

456+

123

0 . =

4) Find the perimeter of this shape.

Calculate 17•5% of £14•40. C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

C=/ *789–

456+

123

0 . =

To hire a car costs £25 a day and a £40 deposit. How much does it costs to hire a car for 14 days?

Michelle books a weekend break to Dublin.The flight costs €75 and her hotel costs €150.She also pre books a bus tour which costs €25.How much has Michelle spent before she even goeson holiday? Give your answer in pounds and pence.

Exchange Rate: £1 = €1•42

Find the volume of this shape.

12 cm3 cm

5 cm

C=/ *789–

456+

123

0 . =

C=/ *789–

456+

123

0 . =

8 m

11 m

6)

7)

A company bonus scheme means that £63 400 will be shared equally between 200 members of staff.How much will each person receive?

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

a) Find the product of 8 and 7564.

b) Find the difference between 8034 and 5769.

c) Find the sum of the answer to a) and the answer to b).

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =


1)

3)

2)

4)

7)

C=/ *789–

456+

123

0 . =

C=/ *789–

456+

123

0 . =

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

Find the area of this shape.

14 cm

19 cm

The perimeter of a rectangular room is given by the formulaC = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

P = 2l + 2bWhere l is the length and b is the breadth of the room.

Find the perimeter of the room which has length 8•5m and breadth 7•8 m.

A bank has an account which offers 4•5% interest pa on all savings.Lucy places £4000 into this account.How much would Lucy expect to have in her account after5 months?

Find the perimeter of this shape.C=/ *789–

456+

123

0 . =9 m

5) Jack has an annual salary of £11846•88

Calculate his monthly pay.

300 people work in an office. 72% of them come to work by car. A sixth of them travel by bus. The rest of the staff walk to work. How many people walk to work?

6) Set out and find.

a) 56 x 800 b) 891 x 40 c) 2•84 x 7000

d) 49•8 ÷ 60 e) 732 ÷ 300 f) 8592 ÷ 2000

C=/ *789–

456+

123

0 . =

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =


1)

3)

2)

7)

C=/ *789–

456+

123

0 . =

C=/ *789–

456+

123

0 . =

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

Find the area of this shape.

14 cm

19 cm

The perimeter of a rectangular room is given by the formulaC = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

P = 2l + 2bWhere l is the length and b is the breadth of the room.

Find the perimeter of the room which has length 8•5m and breadth 7•8 m.

A bank has an account which offers 4•5% simple interestpa on all savings.Lucy places £4000 into this account.How much would Lucy expect to have in her account after5 months?

5) Jack has an annual salary of £11846•88

Calculate his monthly pay.

300 people work in an office. 72% of them come to work by car. A sixth of them travel by bus. The rest of the staff walk to work. How many people walk to work?


a) 56 x 800 b) 891 x 40 c) 2•84 x 7000

d) 49•8 ÷ 60 e) 732 ÷ 300 f) 8592 ÷ 2000

C=/ *789–

456+

123

0 . =

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

4)Find the perimeter of this shape.C=/ *789–

456+

123

0 . =9 m


1)

3)

2)

4)

C=/ *789–

456+

123

0 . =

C=/ *789–

456+

123

0 . =

The table shows house insurance premiums.

Consider the formula Q = ab – c

Calculate Q when a = 8•4, b = 6 and c = 12•5

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

A new washing machine has a cash price of £389.It can be paid for by Hire Purchase.The terms are: 23% deposit and then 24 equal monthly payments of £15•50.How much more is the HP price than cash price?

Find the area of this shape.C=/ *789–

456+

123

0 . =

5)

How much would it cost to insure a house in Area 3 worth £110 500?

Rates per £1000

Area 1

Area 2

Area 3

£1•53

£2•07

£2•68

18 cm

12 cm

Calculate the net pay for this worker.

IncomeBasic

£1309·86

Overtime

£112·93

Bonus

/

Total

I. Tax

£ 312·14

Superann.

£63·85

N.I.

£97·28

Total

NET PAY

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =


1)

3)

2)

4)

C=/ *789–

456+

123

0 . =

C=/ *789–

456+

123

0 . =

The table shows house insurance premiums.

Consider the formula Q = ab – c

Calculate Q when a = 8•4, b = 6 and c = 12•5

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

A new washing machine has a cash price of £389.It can be paid for by Hire Purchase.The terms are: 23% deposit and then 24 equal monthly payments of £15•50.How much more is the HP price than cash price?

Find the area of this shape.C=/ *789–

456+

123

0 . =

5)

How much would it cost to insure a house in Area 3 worth £110 500?

Rates per £1000

Area 1

Area 2

Area 3

£1•53

£2•07

£2•68

18 cm

12 cm

Calculate the net pay for this worker.

IncomeBasic

£1309·86

Overtime

£112·93

Bonus

/

Total

I. Tax

£ 312·14

Superann.

£63·85

N.I.

£97·28

Total

NET PAY

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =


5)C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

1)C=/ *789–

456+

123

0 . =

Sandra earns £9•20 an hour.Overtime is paid at time and a half on a Saturday and double time on a Sunday.The hours Sandra worked last week are shown below.

Day

Hours


8 0 4 8 0 6 5

Calculate Sandra’s wage for last week.

2) Fiona got a mark of 17 out of 25 in her last Maths test.In her Physics test, she got a mark of 13 out of 20.In which test did she do best ?Explain your answer.

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

3) Round 2872•784 to

a) the nearest 100 b) the nearest 10

c) one decimal place d) two decimal places

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

4) Find the perimeter of this shape. C=/ *789–

456+

123

0 . =

8 m

Consider the formula P = 4x2 + 3y

Evaluate P when x = 3 and y = 2

6) Evaluate

a) 93 x 70 b) 5 700 ÷ 300 c) 34 x 8000

d) 7850 ÷ 40 e) 687 x 700 f) 8100 ÷ 9000

g) 5100 ÷ 600 h) 63•24 x 900 i) 9512 ÷ 400

Int 1 Maths Mixed Homework Exercise 81)

C=/ *789–

456+

123

0 . =

Sandra earns £9•20 an hour.Overtime is paid at time and a half on a Saturday and double time on a Sunday.The hours Sandra worked last week are shown below.

Day

Hours


8 0 4 8 0 6 5

Calculate Sandra’s wage for last week.

2) Fiona got a mark of 17 out of 25 in her last Maths test.In her Physics test, she got a mark of 13 out of 20.In which test did she do best ?Explain your answer.

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

3) Round 2872•784 to

a) the nearest 100 b) the nearest 10

c) one decimal place d) two decimal places

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

4) Find the perimeter of this shape. C=/ *789–

456+

123

0 . =

8 m

5)C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

Consider the formula P = 4x2 + 3y

Evaluate P when x = 3 and y = 2

6) Evaluate

a) 93 x 70 b) 5 700 ÷ 300 c) 34 x 8000

d) 7850 ÷ 40 e) 687 x 700 f) 9100 ÷ 8000

g) 8•5 ÷ 600 h) 63•24 x 900 i) 9512 ÷ 400

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =


6)

1)

2)Lesley buys a new DVD recorder.It costs £54•99 + VAT.Calculate the VAT. (VAT is charged at 17•5%).Give your answer to the nearest pence.

4)Fred can do four press ups in 6 seconds.How many press ups can Fred do in one minute?

5) Find the area of this shape. C=/ *789–

456+

123

0 . =

Six friends go out for a meal. The bill comes to £144.There is also a 12% service charge to pay.How much is the service charge?

C=/ *789–

456+

123

0 . =

C=/ *789–

456+

123

0 . =

3)A man can walk 4•3 kmh-1.How far can he walk in six hours?Round your answer to the nearest ten km.

C=/ *789–

456+

123

0 . =

C=/ *789–

456+

123

0 . =

6 m

15 m 20 m

C=/ *789–

456+

123

0 . =

Find the volume of this cube.

C=/ *789–

456+

123

0 . =

7)Find the volume of this cuboid.

8)

6 cm

6 cm

3 cm2 cm

Find the circumference of a circle with diameter 14 m. C=/ *789–

456+

123

0 . =

9)Find the area of a circle which has radius 70 cm. C=/ *789–

456+

123

0 . =


6)

1)

2)Lesley buys a new DVD recorder.It costs £54•99 + VAT.Calculate the VAT. (VAT is charged at 17•5%).Give your answer to the nearest pence.

4)Fred can do four press ups in 6 seconds.How many press ups can Fred do in one minute?

5) Find the area of this shape. C=/ *789–

456+

123

0 . =

Six friends go out for a meal. The bill comes to £144.There is also a 12% service charge to pay.How much is the service charge?

C=/ *789–

456+

123

0 . =

C=/ *789–

456+

123

0 . =

3)A man can walk 4•3kmh-1.How far can he walk in six hours?Round your answer to the nearest ten km.

C=/ *789–

456+

123

0 . =

C=/ *789–

456+

123

0 . =

6 m

15 m 20 m

C=/ *789–

456+

123

0 . =

Find the volume of this cube.

C=/ *789–

456+

123

0 . =

7)Find the volume of this cuboid.

8)

6 cm

6 cm

3 cm2 cm

Find the circumference of a circle with diameter 14 m. C=/ *789–

456+

123

0 . =

9)Find the area of a circle which has radius 70 cm. C=/ *789–

456+

123

0 . =


5)

1)

2)The cost of hiring a car is shown below.

3)D = ST is a formula used in Maths.

Evaluate D when S = 80 and T = 3.

C=/ *789–

456+

123

0 . =

Evaluate 6f – 3k when f = 5 and k = 2C=/ *789–

456+

123

0 . =

C=/ *789–

456+

123

0 . =

C=/ *789–

456+

123

0 . =

C=/ *789–

456+

123

0 . =

Clare wants a new sofa.She sees one she likes with these Hire Purchase terms.

C=/ *789–

456+

123

0 . =

8)

CAR HIRE£8 a day plus 9p per mile

How much does it cost to hire a car for 5 days if the number of miles travelled is 420?

Fiona works in a supermarket.She earns £5•90 an hour.If she works at the weekend she is paid time and a half.How much would Fiona earn if she worked 16 hours overthe weekend?

4)

HIRE PURCHASE

Deposit £120 then 24 instalments of £48•50

Find the total cost Clare will have to pay.

A family are going to Spain for their Summer holidays.They want to change £1255 into Euros.How may Euros will they get?

FOREIGN EXCHANGE RATES

£1 buys

USA $1•99Spain €1•42Spain €1•42 Japan 195•92 yen Thailand 65•54 bhats


5)

1)

2)The cost of hiring a car is shown below.

3)D = ST is a formula used in Maths.

Evaluate D when S = 80 and T = 3.

C=/ *789–

456+

123

0 . =

Evaluate 6f – 3k when f = 5 and k = 2C=/ *789–

456+

123

0 . =

C=/ *789–

456+

123

0 . =

C=/ *789–

456+

123

0 . =

C=/ *789–

456+

123

0 . =

Clare wants a new sofa.She sees one she likes with these Hire Purchase terms.

C=/ *789–

456+

123

0 . =

8)

CAR HIRE£8 a day plus 9p per mile

How much does it cost to hire a car for 5 days if the number of miles travelled is 420?

Fiona works in a supermarket.She earns £5•90 an hour.If she works at the weekend she is paid time and a half.How much would Fiona earn if she worked 16 hours overthe weekend?

4)

HIRE PURCHASE

Deposit £120 then 24 instalments of £48•50

Find the total cost Clare will have to pay.

A family are going to Spain for their Summer holidays.They want to change £1255 into Euros.How may Euros will they get?

FOREIGN EXCHANGE RATES

£1 buys

USA $1•99Spain €1•42Spain €1•42 Japan 195•92 yen Thailand 65•54 bhats

Homework 11 – Integers

Homework 12 – TDS

Homework 13 –

Homework 14 – Pythagoras

Homework 15 – Graphs, Charts and Tables

Homework 16 –

Homework 17 - Statistics


Homework 18 -

Homework 20 – Revision for NAB (LO3, only some of LO4 included and LO5)


1)Plot these points and join them up in order.A(-3,2), B(-3,-1), C(3,-5), D(0,2)What shape do you get?

3) Twelve CDs cost £77•76.How much would 20 CDs cost?

4)

5)

6)C=/ *789–

456+

123

0 . =

2) a) 7 + (-7)C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

C=/ *789–

456+

123

0 . =

Rob invests £17 000 in a bank account which offers6•4% interest pa.

How much would Rob have in his account after 5 months?

Find the volume of this cuboid.Give your answer in litres.

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

16 cm

10 cm

7 cm

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

b) (-8) x 5 c) 4 – (-8)

d) (-2) x (-4) e) (-12) ÷ 3 f) -24 ÷ (-8)

g) 8 + (-4) h) -6 x 8 i) -16 + 4

j) 60 ÷ (-12) k) -45 + 17 l) -18 x (-2)

Lucy earns £8•40 an hour.She works 39 hours a week basic.Any overtime is paid at double time.One week Lucy earned £428•40.How many hours did Lucy work overtime?

7) a) 7 + (-7) – (-3)C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

b) (-8) x 5 x 2 c) 4 – (-8) – (-1)

d) (-2) x (-4) x 3 e) (-12) ÷ (-3) f) 4 x (-4) x 3

g) 5 + (-1) – (-2) h) -6 x 8 x (-4) i) -11 + 3 – (-9)


1)Plot these points and join them up in order.A(-3,2), B(-3,-1), C(3,-5), D(0,2)What shape do you get?

3) Twelve CDs cost £77•76.How much would 20 CDs cost?

4)

5)

6)C=/ *789–

456+

123

0 . =

2) a) 7 + (-7)C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

C=/ *789–

456+

123

0 . =

Rob invests £17 000 in a bank account which offers6•4% interest pa.

How much would Rob have in his account after 5 months?

Find the volume of this cuboid.Give your answer in litres.

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

16 cm

10 cm

7 cm

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

b) (-8) x 5 c) 4 – (-8)

d) (-2) x (-4) e) (-12) ÷ 3 f) -24 ÷ (-8)

g) 8 + (-4) h) -6 x 8 i) -16 + 4

j) 60 ÷ (-12) k) -45 + 17 l) -18 x (-2)

Lucy earns £8•40 an hour.She works 39 hours a week basic.Any overtime is paid at double time.One week Lucy earned £428•40.How many hours did Lucy work overtime?

7) a) 7 + (-7) – (-3)C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

b) (-8) x 5 x 2 c) 4 – (-8) – (-1)

d) (-2) x (-4) x 3 e) (-12) ÷ (-3) f) 4 x (-4) x 3

g) 5 + (-1) – (-2) h) -6 x 8 x (-4) i) -11 + 3 – (-9)

C=/ *789–

456+

123

0 . =

C=/ *789–

456+

123

0 . =


2)C=/ *789–

456+

123

0 . =

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

1)

Distance from home (km)

100

50

0 9:00am 10:00am 11:00am

Tom drives from his house to his Gran’s house. He stopped for petrol on the way, stayed at his Gran’s for a while and then drove home via a different route. a) How far away does Tom’s

Gran stay?

b) How long did Tom stop for petrol?

c) Calculate his average speed for both the outward and return journey.

d) Which part might have been completed on the motorway?

Calculate.a) 17•5% of £68 b) 15% of 82 kg

c) 75% of $116 d) 90% of €852

3) A flight to Tenerife from Edinburgh takes 4 hours.The plane travels at 520 miles per hour.How far is it from Edinburgh to Tenerife?

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =


a) 60 – 27•4 b) 40 - 4•42 c) 43•9 – 5•98

e) 30 + 45•6 f) 17 + 13•27 g) 23•37 – 8•9

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =


9 cm

C=/ *789–

456+

123

0 . =

6 cm

17 cm


2)C=/ *789–

456+

123

0 . =

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

1)

Distance from home (km)

100

50

0 9:00am 10:00am 11:00am

Tom drives from his house to his Gran’s house. He stopped for petrol on the way, stayed at his Gran’s for a while and then drove home via a different route. a) How far away does Tom’s

Gran stay?

b) How long did Tom stop for petrol?

c) Calculate his average speed for both the outward and return journey.

d) Which part might have been completed on the motorway?

Calculate.a) 17•5% of £68 b) 15% of 82 kg

c) 75% of $116 d) 90% of €852

3) A flight to Tenerife from Edinburgh takes 4 hours.The plane travels at 520 miles per hour.How far is it from Edinburgh to Tenerife?

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =


a) 60 – 27•4 b) 40 - 4•42 c) 43•9 – 5•98

e) 30 + 45•6 f) 17 + 13•27 g) 23•37 – 8•9

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =


9 cm

C=/ *789–

456+

123

0 . =

6 cm

17 cm


4)

1)

2)A man walks 5 km in two hours.

3)

Evaluate 6f + 3k when f = -2 and k = -4

C=/ *789–

456+

123

0 . =

C=/ *789–

456+

123

0 . =

C=/ *789–

456+

123

0 . =

Shown below is part of a train timetable from Edinburgh to London.Both trains take the same time to complete the journey.At what time will Train 2 arrive in London?

5)

Train 1 0710 1146

Plot the points P(-2,3), Q(3,4), R(4,-1) and S(-3,-2) and jointhem up in order.What shape is this?

a) Calculate his average speed.

a) How long would it take the man to cover 8•25 km?

This shape is made up of a square and a triangle.Find the area of this shape.

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

8 cm

17 cm

Train 2 1423 ?

Departs Arrives

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

6)Calculate the volume of this cube.How many litres does it hold?

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =


4)

1)

2)A man walks 5 km in two hours.

3)

Evaluate 6f + 3k when f = -2 and k = -4

C=/ *789–

456+

123

0 . =

C=/ *789–

456+

123

0 . =

C=/ *789–

456+

123

0 . =

Shown below is part of a train timetable from Edinburgh to London.Both trains take the same time to complete the journey.At what time will Train 2 arrive in London?

5)Plot the points P(-2,3), Q(3,4), R(4,-1) and S(-3,-2) and jointhem up in order.What shape is this?

a) Calculate his average speed.

a) How long would it take the man to cover 8•25 km?

This shape is made up of a square and a triangle.Find the area of this shape.

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

8 cm

17 cm

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

6)Calculate the volume of this cube.How many litres does it hold?

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

9 cm 9 cm

Train 1 0710 1146

Departs Arrives

Train 2 1423 ?


2)

1)

C=/ *789–

456+

123

0 . =

Find the length of the missing side in each triangle.Give your answer correct to 2 decimal places where necessary.


C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

Distance from Ayton (km)

100

50

0 1400 1430 1500

The distance/time graph shows the journeys of two buses. One from Ayton to Beton and the other from Beton to Ayton.

a) At what time did Bus 1 leave Ayton?

b) How far is it from Ayton to Beton?

c) When did the buses pass each other?

d) One of the buses is an express bus. Which one?

1530

Bus 1Bus 2

e) Calculate the speed of each

of the buses.

a) b) c)

16 m

12 m 2•3 cm

1•9 cm

47 mm

36 mm

a) 4•5 x 600 b) 7•23 x 8000 c) 9•14 x 40

d) 138•8 ÷ 40 e) 1170 ÷ 500 f) 32220 ÷ 9000

4) CalculateC = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

a) -7 + (-3) b) -8 – (-4) + (-2)c) 12 – 24

d) (-4) x 5 e) (-3) x 2 x (-4) f) 72 ÷ (-8)


2)

1)

C=/ *789–

456+

123

0 . =

Find the length of the missing side in each triangle.Give your answer correct to 2 decimal places where necessary.


C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

Distance from Ayton (km)

100

50

0 1400 1430 1500

The distance/time graph shows the journeys of two buses. One from Ayton to Beton and the other from Beton to Ayton.

a) At what time did Bus 1 leave Ayton?

b) How far is it from Ayton to Beton?

c) When did the buses pass each other?

d) One of the buses is an express bus. Which one?

1530

Bus 1Bus 2

e) Calculate the speed of each

of the buses.

a) b) c)

16 m

12 m 2•3 cm

1•9 cm

47 mm

36 mm

a) 4•5 x 600 b) 7•23 x 8000 c) 9•14 x 40

d) 138•8 ÷ 40 e) 1170 ÷ 500 f) 32220 ÷ 9000

4) CalculateC = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

a) -7 + (-3) b) -8 – (-4) + (-2)c) 12 – 24

d) (-4) x 5 e) (-3) x 2 x (-4) f) 72 ÷ (-8)

Int 1 Maths Mixed Homework Exercise 151) C = / *

7 8 9 –

4 5 6 +

1 2 3

0 . =

An S3 class were asked which kind of pet they had. The results are shown in the table below.

Draw a bar chart to display this data.

Pet

Dog

Cat

Fish

Mice

Other

Frequency

9

7

3

2

5

2) This pie chart shows what happened to S6 after they left school. There were 80 pupils in the year.

C=/ *789–

456+

123

0 . =

How many pupils:(a) were unemployed?(b) got a full time job?(c) went to University?(d) got a part time job?(e) went to college?

College

Full time job

Uni

Part time

Unemployed

45o

54o

135o

3)SOFA

Cash price - £850Hire Purchase – 12% deposit then 24

monthly payments of £34

How much more expensive is it to pay by Hire Purchase?

4)Find the perimeter and the area of this shape.C=/ *789–

456+

123

0 . =

14 cm

C=/ *789–

456+

123

0 . =

5)Use the formula P = 2l + 2b to find the perimeter of this rectangle. C = / *

7 8 9 –

4 5 6 +

1 2 3

0 . =

4 m

12 m

Int 1 Maths Mixed Homework Exercise 151) C = / *

7 8 9 –

4 5 6 +

1 2 3

0 . =

An S3 class were asked which kind of pet they had. The results are shown in the table below.

Draw a bar chart to display this data.

Pet

Dog

Cat

Fish

Mice

Other

Frequency

9

7

3

2

5

2) This pie chart shows what happened to S6 after they left school. There were 80 pupils in the year.

C=/ *789–

456+

123

0 . =

How many pupils:(a) were unemployed?(b) got a full time job?(c) went to University?(d) got a part time job?(e) went to college?

College

Full time job

Uni

Part time

Unemployed

45o

54o

135o

3)SOFA

Cash price - £850Hire Purchase – 12% deposit then 24

monthly payments of £34

How much more expensive is it to pay by Hire Purchase?

4)Find the perimeter and the area of this shape.C=/ *789–

456+

123

0 . =

14 cm

C=/ *789–

456+

123

0 . =

5)Use the formula P = 2l + 2b to find the perimeter of this rectangle. C = / *

7 8 9 –

4 5 6 +

1 2 3

0 . =

4 m

12 m


2)

1)

C=/ *789–

456+

123

0 . =

This rectangular field has a path running from one corner to the other as shown.You walk from A to C using the path.Your friend walks from A to B then to C.Who has the shorter journey?By how much?Give your answer correct to 2 decimal places.

3)

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =The prices of second hand items for sale in the local newspaper (in £) are:

path

4)Thirty packets of sweets were opened.Shown below are the number of sweets in each packet. Draw and complete a frequency diagram to summarise this data.

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

42679090

75512555

61588065

45319484

44804631

53766839

67562745

75328680

50

Draw an ordered stem and leaf diagram of this data.

A B

CD 29 m

14 m

You need 240g of flour to make 15 scones.How much flour would you need to make 48 scones?

C=/ *789–

456+

123

0 . =

262624

232724

272425

242523

252526

242527

262424

262325

252325

252326

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

60 20 30 70 50 50 50 40 60 60 10 70 30 80 90 80 30 20 80 60 30 50 50 40 50 20 60 40 60 80

A B C D E F G H I J K L M N O

5)Fifteen children sat a Maths and a physics exam.Their marks are listed below.

PupilMathsPhysics

Construct a scattergraph to show the above information.Draw a line of best fit on your graph.Mary got 70 in her Maths exam. Estimate what mark Mary got in Physics.

a)b)c)


2)

1)

C=/ *789–

456+

123

0 . =

This rectangular field has a path running from one corner to the other as shown.You walk from A to C using the path.Your friend walks from A to B then to C.Who has the shorter journey?By how much?Give your answer correct to 2 decimal places.

3)

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =The prices of second hand items for sale in the local newspaper (in £) are:

path

4)Thirty packets of sweets were opened.Shown below are the number of sweets in each packet. Draw and complete a frequency diagram to summarise this data.

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

42679090

75512555

61588065

45319484

44804631

53766839

67562745

75328680

50

Draw an ordered stem and leaf diagram of this data.

A B

CD 29 m

14 m

You need 240g of flour to make 15 scones.How much flour would you need to make 48 scones?

C=/ *789–

456+

123

0 . =

262624

232724

272425

242523

252526

242527

262424

262325

252325

252326

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

60 20 30 70 50 50 50 40 60 60 10 70 30 80 90 80 30 20 80 60 30 50 50 40 50 20 60 40 60 80

A B C D E F G H I J K L M N O

5)Fifteen children sat a Maths and a physics exam.Their marks are listed below.

PupilMathsPhysics

Construct a scattergraph to show the above information.Draw a line of best fit on your graph.Mary got 70 in her Maths exam. Estimate what mark Mary got in Physics.

a)b)c)


2)

3)

4)A bag contains 20 raffle tickets. Two tickets win a DVD player, four tickets win a CD, three tickets win a voucher.The rest of the tickets win nothing.Find the probability of:a) winning a DVD playerb) winning a CDc) not winning anything Give your answers in their simplest form.

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

1)Brass tacks come in boxes labelled ‘Contents: 45 approx’Here are the amount of tacks from a sample of boxes.

4245

4844

4346

4549

4843

4547

a) Calculate the range.b) Calculate the mean, median and mode.c) Is the claim on the front of the box correct? Explain your answer.

C=/ *789–

456+

123

0 . =

Calculate the following:

a) 1% of £245 b) 3% of £27 c) 8% of 48 litres

d) 10% of 85 kg e) 80% of 48 ml f) 60% of 724 g

g) 12% of £832 h) 17.5% of £56 i) 93% of 85 ml

j) 42% of 15 kg k) 63% of 119 kml) 49% of 320 litres

Evaluate 4e + when e = 5, p = 8 and r = 4pr C = / *

7 8 9 –

4 5 6 +

1 2 3

0 . =

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

5)Draw a set of axes where both x and y go from -7 to 7.On your graph plot the following points, labelling each one clearly.a) A(3,6) b) B(-4,5) c) C(2,-7) d) D(-3,-5)e) E(0,-7) f) F(-4,0) g) G(-2,-6) h) H(-7,4)

6)This diagram shows a flagpole supported by a wire.Find the height of the flagpole.Give your answer to the nearest centimetre.

C=/ *789–

456+

123

0 . =

8 m

6 m


2)

3)

4)A bag contains 20 raffle tickets. Two tickets win a DVD player, four tickets win a CD, three tickets win a voucher.The rest of the tickets win nothing.Find the probability of:a) winning a DVD playerb) winning a CDc) not winning anything Give your answers in their simplest form.

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

1)Brass tacks come in boxes labelled ‘Contents: 45 approx’Here are the amount of tacks from a sample of boxes.

4245

4844

4346

4549

4843

4547

a) Calculate the range.b) Calculate the mean, median and mode.c) Is the claim on the front of the box correct? Explain your answer.

C=/ *789–

456+

123

0 . =

Calculate the following:

a) 1% of £245 b) 3% of £27 c) 8% of 48 litres

d) 10% of 85 kg e) 80% of 48 ml f) 60% of 724 g

g) 12% of £832 h) 17.5% of £56 i) 93% of 85 ml

j) 42% of 15 kg k) 63% of 119 kml) 49% of 320 litres

Evaluate 4e + when e = 5, p = 8 and r = 4pr C = / *

7 8 9 –

4 5 6 +

1 2 3

0 . =

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

5)Draw a set of axes where both x and y go from -7 to 7.On your graph plot the following points, labelling each one clearly.a) A(3,6) b) B(-4,5) c) C(2,-7) d) D(-3,-5)e) E(0,-7) f) F(-4,0) g) G(-2,-6) h) H(-7,4)

6)BD shows a flagpole supported by a wire.Find the height of the flagpole.Give your answer to the nearest centimetre.

C=/ *789–

456+

123

0 . =

8 m

6 m


2)

1)

3)

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

4)C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

A bag contains some sweets. There are 15 toffees, 10 mints and 5 truffles. One sweet is taken at random from the bag. Calculate the probability of that sweet being a) a toffee b) a mint c) a truffle

Give your answer in its simplest form.

Max records his scores in a game of golf in this table:

Score Frequency Score x Frequency

3

4

5

6

Totals

4

6

7

1

3 x 4

C=/ *789–

456+

123

0 . =

a)Copy and complete the table.

b)Use the table to calculate the mean, median, mode and range.

Find the area of this shape.Give your answer correct to 2 decimal places.

C=/ *789–

456+

123

0 . =

17 cm

14 cm

You earn £6.40 an hour.Overtime on a Saturday is paid at time and a half.Overtime on a Sunday is paid at double time.Here are the hours you worked last week.Calculate your wages for last week.

Day

Hours worked

Mon Tues Wed Thurs Fri Sat Sun

0 8 4 7 0 6 4


2)

1)

3)

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

4)C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

A bag contains some sweets. There are 15 toffees, 10 mints and 5 truffles. One sweet is taken at random from the bag. Calculate the probability of that sweet being a) a toffee b) a mint c) a truffle

Give your answer in its simplest form.

Max records his scores in a game of golf in this table:

Score Frequency Score x Frequency

3

4

5

6

Totals

4

6

7

1

3 x 4

C=/ *789–

456+

123

0 . =

a)Copy and complete the table.

b)Use the table to calculate the mean, median, mode and range.

Find the area of this shape.Give your answer correct to 2 decimal places.

C=/ *789–

456+

123

0 . =

17 cm

14 cm

You earn £6.40 an hour.Overtime on a Saturday is paid at time and a half.Overtime on a Sunday is paid at double time.Here are the hours you worked last week.Calculate your wages for last week.

Day

Hours worked

Mon Tues Wed Thurs Fri Sat Sun

0 8 4 7 0 6 4


1)

2)

4)This graph shows a Ben’s journey to his friend’s house.He broke the journey by stopping for lunch.

Some students entered a Mathematical Challenge Competition, where points are given for correct answersand deducted for wrong answers. The results for each round are shown below.

C=/ *789–

456+

123

0 . =

Copy this diagram.State the coordinates of the points A and B.Plot the points C(4,-3) and D(-2,-5)

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

x

y

A

B

x

x

Sally 1 -4 2 -1Laura -3 1 6

Liam -8 2 1

Round A Round B Round C Total

a) What is Laura’s total score?b) What is Liam’s total score?c) Fred scored 6. By how many points did he beat Sally?

C=/ *789–

456+

123

0 . =

1400 1500 1600Time

Dist(km)

25

50a) How far did Ben travel before stopping for lunch?

b) How long did his lunch last?

c) Which part of the journey was completed on the motorway? Explain your answer.

5)a) A bus travels at a speed of 80 kmh-1. for 4 hours.Calculate the distance travelled by the bus.

b) A train travels for 486 miles at 108 mph.

How long does the journey take?

C=/ *789–

456+

123

0 . =


1)

2)

4) This graph shows a Ben’s journey to his friend’s house.He broke the journey by stopping for lunch.

Some students entered a Mathematical Challenge Competition, where points are given for correct answersand deducted for wrong answers. The results for each round are shown below.

C=/ *789–

456+

123

0 . =

Copy this diagram.State the coordinates of the points A and B.Plot the points C(4,-3) and D(-2,-5)

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

x

y

A

B

x

x

Sally 1 -4 2 -1Laura -3 1 6

Liam -8 2 1

Round A Round B Round C Total

C=/ *789–

456+

123

0 . =

1400 1500 1600Time

Dist(km)

25

50a) How far did Ben travel before stopping for lunch?

b) How long did his lunch last?

c) Which part of the journey was completed on the motorway? Explain your answer.

5)a) A bus travels at a speed of 80 kmh-1. for 4 hours.Calculate the distance travelled by the bus.

b) A train travels for 486 miles at 108 mph.

How long does the journey take?

C=/ *789–

456+

123

0 . =


2)

1)

3)

Calculate the distance from A to C.

4)Here are the ages of 12 members of a youth group.C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

Kim was testing a new computer program which simulated dice rolling. Here is a list of the scores produced by the computer.

A C

BC=/ *789–

456+

123

0 . =

4 km7 km

C=/ *789–

456+

123

0 . =

Red

BlueGreen

Yellow

480 people were asked their favourite colour.How many chose red?

1 2 5 5 2 1 1 6 3 1 4 5 5 6 5 1 2 3 4 5 Copy and complete this frequency table. Score

Tally

Freq

Total

a)

b) The computer is expected to produce approximately equal numbers of each score. Comment on how the computer seems to be doing its job.

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

16 16 15 20 16 18 13 16 13 12 16 17

a)Calculate the mean age.

b)Calculate the mode age.c) Calculate the median.

d) Calculate the range.

5)Here is a spinner game. When the arrow is spun it comes to rest on one number.What is the probability that it comes to rest on the number “7”?

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =


2)

1)

3)

Calculate the distance from A to C.

4)Here are the ages of 12 members of a youth group.C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

Kim was testing a new computer program which simulated dice rolling. Here is a list of the scores produced by the computer.

A C

BC=/ *789–

456+

123

0 . =

4 km7 km

C=/ *789–

456+

123

0 . =

Red

BlueGreen

Yellow

480 people were asked their favourite colour.How many chose red?

1 2 5 5 2 1 1 6 3 1 4 5 5 6 5 1 2 3 4 5 Copy and complete this frequency table. Score

Tally

Freq

Total

a)

b) The computer is expected to produce approximately equal numbers of each score. Comment on how the computer seems to be doing its job.

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

16 16 15 20 16 18 13 16 13 12 16 17

a)Calculate the mean age.

b)Calculate the mode age.c) Calculate the median.

d) Calculate the range.

5)Here is a spinner game. When the arrow is spun it comes to rest on one number.What is the probability that it comes to rest on the number “7”?

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

Homework 21 – Basic Algebra

Homework 22 –

Homework 23 – Graphical Relationships

Homework 24 –

Homework 25 – Basic Trigonometry

Homework 26 –

Homework 27 – Scientific Notation

Homework 29 – Revision for NAB (LO1, LO2 and LO3)

Homework 28 -

Homework 30 – Revision for NAB (LO4)


3)

1) Evaluate when a = 3, b = 5, and c = -4

4) Find the volume of this cuboid.

C=/ *789–

456+

123

0 . =

5)

a) 5a2

c) 2a + b2

e) 2ac + 1g) 3 + 2c2

b) 3bc - 6d) 2b – 4a + cf) a2 + c2

h) 3c + b - a

2)

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

A yacht sails out from the harbour.It sails due north for 15 km.It then sails due east for another 23 km.How far is the yacht from the harbour?

H

15 km

23 km

?

a) 50% of £210

c) 25% of 140 kme) 10% of £95

b) 75% of 68 kg

d) 90% of 312 milesf) 5% of 1120 kg

Calculate C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

8cm

3cm2cm

a)

How many of the above cuboids would fit in a cardboard box which measures 56 cm by 10 cm by 24 cm?

b)

C=/ *789–

456+

123

0 . =

Simplify the following

a) a + 2b + 3a - bc) 3x2 - x2

e) 2y x yg) 3 x 5p

b) w x w x 3d) p + 2q – 2pf) s2 + 3t2+ 3s2 – 2t2

h) 3c2 + 2c2 - c2

i) 4h + 2n – 7h + 5nk) 3 + 6q + 2r – 3q

j) 9a x 5b

l) 4c + 3b – 6c + b

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =


3)

1) Evaluate when a = 3, b = 5, and c = -4

4) Find the volume of this cuboid.

C=/ *789–

456+

123

0 . =

5)

a) 5a2

c) 2a + b2

e) 2ac + 1g) 3 + 2c2

b) 3bc - 6d) 2b – 4a + cf) a2 + c2

h) 3c + b - a

2)

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

A yacht sails out from the harbour.It sails due north for 15 km.It then sails due east for another 23 km.How far is the yacht from the harbour?

H

15 km

23 km

?

a) 50% of £210

c) 25% of 140 kme) 10% of £95

b) 75% of 68 kg

d) 90% of 312 milesf) 5% of 1120 kg

Calculate C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

8cm

3cm2cm

a)

How many of the above cuboids would fit in a cardboard box which measures 56 cm by 10 cm by 24 cm?

b)

C=/ *789–

456+

123

0 . =

Simplify the following

a) a + 2b + 3a - bc) 3x2 - x2

e) 2y x yg) 3 x 5p

b) w x w x 3d) p + 2q – 2pf) s2 + 3t2+ 3s2 – 2t2

h) 3c2 + 2c2 - c2

i) 4h + 2n – 7h + 5nk) 3 + 6q + 2r – 3q

j) 9a x 5b

l) 4c + 3b – 6c + b

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =


3)

1) Expand and simplify.

4)

C=/ *789–

456+

123

0 . =

5)

a) 3(a + 2)c) 12(2 – q)e) 5r(2s – 3r)g) 7(f – 3) + 4

b) 6(k – 1)d) 2(7x – 3y)f) 10(2r + 3) - 6r h) 4 + 2(t – 6)

2) The area of a circle is given by A = r2.

The circumference of a circle is given by C = d.Find the area and the circumference of this circle.

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

12 c

m

Solve these inequalities.

This diagram shows a telegraph pole supported by two wires.Find the length of the wire AC.Give your answer to 2 dp.

C=/ *789–

456+

123

0 . =

B C

A

8 m

D3 m 5 m

Solve the following equations.

a) a + 2 = 8c) 14 = 2 + 3qe) 5(2s – 3) = 25g) 3(3f – 6) = 36

b) 6p = 42d) 8x – 9 = 31f) 4(2r + 3) = 60 h) 4(9t - 4) = 56

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

a) q - 3 < 4c) 3 + 6y ≥ 27e) 2x – 4 > x + 5

b) 9l > 63d) 7x + 4 ≤ 25f) 9r + 5 ≥ 8r - 7

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =


3)


4)

C=/ *789–

456+

123

0 . =

5)

a) 3(a + 2)c) 12(2 – q)e) 5r(2s – 3r)g) 7(f – 3) + 4

b) 6(k – 1)d) 2(7x – 3y)f) 10(2r + 3) - 6r h) 4 + 2(t – 6)

2) The area of a circle is given by A = r2.

The circumference of a circle is given by C = d.Find the area and the circumference of this circle.

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

12 c

m

Solve these inequalities.

This diagram shows a telegraph pole supported by two wires.Find the length of the wire AC.Give your answer to 2 dp.

C=/ *789–

456+

123

0 . =

B C

A

8 m

D3 m 5 m

Solve the following equations.

a) a + 2 = 8c) 14 = 2 + 3qe) 5(2s – 3) = 25g) 3(3f – 6) = 36

b) 6p = 42d) 8x – 9 = 31f) 4(2r + 3) = 60 h) 4(9t - 4) = 56

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

a) q - 3 < 4c) 3 + 6y ≥ 27e) 2x – 4 > x + 5

b) 9l > 63d) 7x + 4 ≤ 25f) 9r + 5 ≥ 8r - 7

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =


1) Factorise the following

a) 3a + 6c) pq - qe) 15gh + 10gg) 15y + 30y2

b) 4b - 6d) 3rs – 12sf) 8cd – 16d

h) 12pq2 – 6q

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

2) Draw the following lines on the same diagram.a) y = 3x

c) y = x

b) y = -2x

d) y = - x

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

2

12

3


a) 3(a – 2) – 2ac) 9 + 2(3w – 1)e) 8(q – 3p) + 4qc g) 6k – 4(7 + k)

b) 8(z – 3) + 2(z + 4)d) 3(1 – t) + 4(t + 4)f) 5(2 – 3x) + 4(2 – x) h) 8(5c +2d) +2(3c + 4d)

4) Copy and complete this table for each equation below.

Plot the points and then draw a line through them to give the graph of each equation.

a) y = 4x + 1 b) y = -2x

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

xy

-3 -2 -1 0 1 2 3

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =


Plot the points and then draw a line through them to give the graph of each equation.c) y = x d) y = - x

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

2

12

3

xy

-6 -4 -2 0 2 4 6


1) Factorise the following

a) 3a + 6c) pq - qe) 15gh + 10gg) 15y + 30y2

b) 4b - 6d) 3rs – 12sf) 8cd – 16d

h) 12pq2 – 6q

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

2) Draw the following lines on the same diagram.a) y = 3x

c) y = x

b) y = -2x

d) y = - x

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

2

12

3


a) 3(a – 2) – 2ac) 9 + 2(3w – 1)e) 8(q – 3p) + 4qc g) 6k – 4(7 + k)

b) 8(z – 3) + 2(z + 4)d) 3(1 – t) + 4(t + 4)f) 5(2 – 3x) + 4(2 – x) h) 8(5c +2d) +2(3c + 4d)


Plot the points and then draw a line through them to give the graph of each equation.

a) y = 4x + 1 b) y = -2x

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

xy

-3 -2 -1 0 1 2 3

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =


Plot the points and then draw a line through them to give the graph of each equation.c) y = x d) y = - x

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

2

12

3

xy

-6 -4 -2 0 2 4 6


1)

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =Find the equation of these lines.

a)

x

y y

x

y

x

y

x

b)

c) d)

2) Solve the following equations.

a) 3a + 2 = 2a + 6c) 7p + 6 = 3p + 30e) 8d – 8 = 3d + 27g) 6k = 4k + 24

b) 6p – 9 = 5p - 2d) 5b – 6 = 3b + 10f) 10t – 6 = t + 3 h) 7f – 20 = 3f

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

3) The number of passengers travelling by bus from Edinburgh to Glasgow was recorded for 20 journeys.

29 45 36 27 41 38 14 48 31 3924 17 23 34 29 38 42 12 32 36

Display the information on an ordered stem and leaf diagram.Find the mean, median and mode number of passengers.

a)

b)

Calculate the range.c)

C=/ *789–

456+

123

0 . =


1)

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =Find the equation of these lines.

a)

x

y y

x

y

x

y

x

b)

c) d)

2) Solve the following equations.

a) 3a + 2 = 2a + 6c) 7p + 6 = 3p + 30e) 8d – 8 = 3d + 27g) 6k = 4k + 24

b) 6p – 9 = 5p - 2d) 5b – 6 = 3b + 10f) 10t – 6 = t + 3 h) 7f – 20 = 3f

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

3) The number of passengers travelling by bus from Edinburgh to Glasgow was recorded for 20 journeys.

29 45 36 27 41 38 14 48 31 3924 17 23 34 29 38 42 12 32 36

Display the information on an ordered stem and leaf diagram.Find the mean, median and mode number of passengers.

a)

b)

Calculate the range.c)

C=/ *789–

456+

123

0 . =


1) Use the tangent ratio to calculate x.a) b)

C=/ *789–

456+

123

0 . =

48o

x

12 cmxo

9 m

13 m

2) Use the sine ratio to calculate x.a) b)

C=/ *789–

456+

123

0 . =

13 cm

12 cm

xo

x

56o

27 mm

3) Use the cosine ratio to calculate x.a) b)

C=/ *789–

456+

123

0 . =11 cm

19 cm

xo

x

13 cm

42o

4) These two rectangles have the same area.Find the dimensions of each rectangle.

Rectangle 1

Rectangle 2

3 cm

(x + 2) cm 4 cm

x cm

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =


1) Use the tangent ratio to calculate x.a) b)

C=/ *789–

456+

123

0 . =

48o

x

12 cmxo

9 m

13 m

2) Use the sine ratio to calculate x.a) b)

C=/ *789–

456+

123

0 . =

13 cm

12 cm

xo

x

56o

27 mm

3) Use the cosine ratio to calculate x.a) b)

C=/ *789–

456+

123

0 . =11 cm

19 cm

xo

x

13 cm

42o

4) These two rectangles have the same area.Find the dimensions of each rectangle.

Rectangle 1

Rectangle 2

3 cm

(x + 2) cm 4 cm

x cm

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =


1) Calculate x.a) b)

C=/ *789–

456+

123

0 . =

52o

x

26 cmxo

8 m

17 m

c) d)

9 cm

4 cm xo

x

39o

46 mm

2) There are 1 blue, 2 red and 3 yellow counters in a bag.a) A counter is taken from the bag.

What is the probability that the counter is red?

b) The counter is replaced and two green counters are added. A counter is taken from the bag.What is the probability that it is not yellow?

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

3) Copy and complete the table below for y = 3x + 1.

xy

-2 0 3

Use the table to draw the straight line y = 3x + 1.

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

4) Champagne costs £24.99 a bottle.A shop offers a 15% discount when you buy 6 bottles.Calculate the cost of buying 6 bottles.

C=/ *789–

456+

123

0 . =


1) Calculate x.a) b)

C=/ *789–

456+

123

0 . =

52o

x

26 cmxo

8 m

17 m

c) d)

9 cm

4 cm xo

x

39o

46 mm

2) There are 1 blue, 2 red and 3 yellow counters in a bag.a) A counter is taken from the bag.

What is the probability that the counter is red?

b) The counter is replaced and two green counters are added. A counter is taken from the bag.What is the probability that it is not yellow?

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

3) Copy and complete the table below for y = 3x + 1.

xy

-2 0 3

Use the table to draw the straight line y = 3x + 1.

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

4) Champagne costs £24.99 a bottle.A shop offers a 15% discount when you buy 6 bottles.Calculate the cost of buying 6 bottles.

C=/ *789–

456+

123

0 . =


1) A football pitch measures 105 m by 68 m. Calculate the distance from the corner flag to the centre spot.Give your answer to the nearest cm.

C=/ *789–

456+

123

0 . =

68 m

105 m

2) Write these numbers in full.C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

3) Write these numbers in scientific notation.C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

a) 9.45 x 106

c) 1.73 x 10-7

e) 5.49 x 1015

g) 3.67 x 107

b) 3.27 x 10-3

d) 8.47 x 102

f) 6.11 x 10-9

h) 8.67 x 10-2

a) 8900

c) 0.000 092e) 90 000 100

g) 0.000 001 893

b) 23 000

d) 0.003 4 f) 830 000 000 000

h) 0.000 000 000 000 128

4) DEFG is a kite.Calculate the length of DF.

D F

E

G

14 cm35o

C=/ *789–

456+

123

0 . =

5) Sally invests £4200 in the Platinum Saver Account which pays 6.3% interest.How much interest will she receive after 10 months?

C=/ *789–

456+

123

0 . =

6) A train travels at 144 kmh-1.It takes 1 hour 15 minutes to travel from Dingwall to Aberdeen.Calculate the distance between Dingwall and Aberdeen.

C=/ *789–

456+

123

0 . =


1) A football pitch measures 105 m by 68 m. Calculate the distance from the corner flag to the centre spot.Give your answer to the nearest cm.

C=/ *789–

456+

123

0 . =

68 m

105 m

2) Write these numbers in full.C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

3) Write these numbers in scientific notation.C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

a) 9.45 x 106

c) 1.73 x 10-7

e) 5.49 x 1015

g) 3.67 x 107

b) 3.27 x 10-3

d) 8.47 x 102

f) 6.11 x 10-9

h) 8.67 x 10-2

a) 8900

c) 0.000 092e) 90 000 100

g) 0.000 001 893

b) 23 000

d) 0.003 4 f) 830 000 000 000

h) 0.000 000 000 000 128

4) DEFG is a kite.Calculate the length of DF.

D F

E

G

14 cm35o

C=/ *789–

456+

123

0 . =

5) Sally invests £4200 in the Platinum Saver Account which pays 6.3% interest.How much interest will she receive after 10 months?

C=/ *789–

456+

123

0 . =

6) A train travels at 144 kmh-1.It takes 1 hour 15 minutes to travel from Dingwall to Aberdeen.Calculate the distance between Dingwall and Aberdeen.

C=/ *789–

456+

123

0 . =


1) Light travels at a speed of 3 x 105 km per second. Calculate how far light can travel in one day.

5) A supermarket has a canopy over its entrance.The edge of the canopy has 6 semi circles as shown.Each semi circle has a diameter of 4 metres.

C=/ *789–

456+

123

0 . =

Find the length of the curved edge of one of the semi circles.

a)

You are asked to attach fairy lights to the edge of the canopy.You have 40 m of fairy lights.Is it enough for the whole canopy?

b)

4 m

4) The diagram shows a yacht with a mast of height x metres.

C=/ *789–

456+

123

0 . =

Calculate the height of the yacht’s mast.

61o

2.5 m

x

C=/ *789–

456+

123

0 . =

2) Find the area of this rectangle. All lengths are in cm. C=/ *789–

456+

123

0 . =

3.2 x 104

1.16 x 103

3) The population of China is 1.32 x 109 people.The area of China is 9.6 x 106 km2.How many people are there per square kilometre in China?Give your answer in scientific notation.

C=/ *789–

456+

123

0 . =


1) Light travels at a speed of 3 x 105 km per second. Calculate how far light can travel in one day.

5) A supermarket has a canopy over its entrance.The edge of the canopy has 6 semi circles as shown.Each semi circle has a diameter of 4 metres.

C=/ *789–

456+

123

0 . =

Find the length of the curved edge of one of the semi circles.

a)

You are asked to attach fairy lights to the edge of the canopy.You have 40 m of fairy lights.Is it enough for the whole canopy?

b)

4 m

4) The diagram shows a yacht with a mast of height x metres.

C=/ *789–

456+

123

0 . =

Calculate the height of the yacht’s mast.

61o

2.5 m

x

C=/ *789–

456+

123

0 . =

2) Find the area of this rectangle. All lengths are in cm. C=/ *789–

456+

123

0 . =

3.2 x 104

1.16 x 103

3)C=/ *789–

456+

123

0 . =

The population of China is 1.32 x 109 people.The area of China is 9.6 x 106 km2.How many people are there per square kilometre in China?Give your answer in scientific notation.


2)

1) Given that P = l + ab , calculate P when l = 10, a = 6 and b = 2.

C=/ *789–

456+

123

0 . =

C=/ *789–

456+

123

0 . =

Multiply out the brackets 6(t – 4)a)

Simplify this expression 3(q + 7) + 4qb)

3) Factorise 4x + 8

4) Solve the equation g – 8 = 10a)

Solve the equation 5k = 17.5b)

C=/ *789–

456+

123

0 . =

C=/ *789–

456+

123

0 . =

C=/ *789–

456+

123

0 . =

5) Solve the inequality h + 2 > 6a)

Solve the inequality 3p < 21b)

C=/ *789–

456+

123

0 . =

6) Copy and complete the table below where y = 2x - 1a)

b)

xy

0 1 2 3

Use the table of values to draw the straight line y = 2x – 1 on a coordinate grid from -10 to 10.

7)C=/ *789–

456+

123

0 . =

The diagram shows a flagpole supported by a wire.Find the height of the flagpole.

9 m

53o

8)C=/ *789–

456+

123

0 . =

A ladder is propped up against a wall.The ladder is 3.2 m long. The foot of the ladder is 0.9m from the wall. Calculate the angle the ladder makes with the ground.

3.2 m

0.9 mxo


2)

1) Given that P = l + ab , calculate P when l = 10, a = 6 and b = 2.

C=/ *789–

456+

123

0 . =

C=/ *789–

456+

123

0 . =

Multiply out the brackets 6(t – 4)a)

Simplify this expression 3(q + 7) + 4qb)

3) Factorise 4x + 8

4) Solve the equation g – 8 = 10a)

Solve the equation 5k = 17.5b)

C=/ *789–

456+

123

0 . =

C=/ *789–

456+

123

0 . =

C=/ *789–

456+

123

0 . =

5) Solve the inequality h + 2 > 6a)

Solve the inequality 3p < 21b)

C=/ *789–

456+

123

0 . =

6) Copy and complete the table below where y = 2x - 1a)

b)

xy

0 1 2 3

Use the table of values to draw the straight line y = 2x – 1 on a coordinate grid from -10 to 10.

7)C=/ *789–

456+

123

0 . =

The diagram shows a flagpole supported by a wire.Find the height of the flagpole.

9 m

53o

8)C=/ *789–

456+

123

0 . =

A ladder is propped up against a wall.The ladder is 3.2 m long. The foot of the ladder is 0.9m from the wall. Calculate the angle the ladder makes with the ground.

3.2 m

0.9 mxo


1) The distance from a planet to the Sun is 4.27 x 108 kilometres.

Write this number out in full.

a)

b)

3)C=/ *789–

456+

123

0 . =

C=/ *789–

456+

123

0 . =

A carbon atom weighs 3.012 x 10-6 grams.


2) There are 86 400 seconds in one day.Write this number in standard form.

a)

b)

C=/ *789–

456+

123

0 . =

There are 0.000 001 9 seconds in one day.Write this number in standard form.

Venus is a distance of 1.08 x 108 kilometres from the Sun.Jupiter is 7.2 times as far.How far is Jupiter from the Sun?


1) The distance from a planet to the Sun is 4.27 x 108 kilometres.


a)

b)

3)C=/ *789–

456+

123

0 . =

C=/ *789–

456+

123

0 . =

A carbon atom weighs 3.012 x 10-6 grams.


2) There are 86 400 seconds in one day.Write this number in standard form.

a)

b)

C=/ *789–

456+

123

0 . =

There are 0.000 001 9 seconds in one day.Write this number in standard form.

Venus is a distance of 1.08 x 108 kilometres from the Sun.Jupiter is 7.2 times as far.How far is Jupiter from the Sun?

Homework 1 – Foundation Revision Homework 2 – Percentages, Rounding Homework 3 – Direct...

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