Maths Homework Booklet P4 - Turton School · How many eggs are there in 6 boxes? 1 3. How many...

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Maths Homework Booklet P4 Section Due by P4.1(a) P4.1(b) P4.1(c) P4.2 P4.3(a) P4.3(b) P4.3(c) P4.4(a) P4.4(b) Name Form Teacher

Transcript of Maths Homework Booklet P4 - Turton School · How many eggs are there in 6 boxes? 1 3. How many...

Page 1: Maths Homework Booklet P4 - Turton School · How many eggs are there in 6 boxes? 1 3. How many centimetres are in two and a half metres? 6. Divide 120 by 4. 7 . 9 x 6 = 30 + ? 1 4.

Maths Homework Booklet

P4 Section Due by P4.1(a) P4.1(b) P4.1(c) P4.2 P4.3(a) P4.3(b) P4.3(c) P4.4(a) P4.4(b)

Name

Form

Teacher

Page 2: Maths Homework Booklet P4 - Turton School · How many eggs are there in 6 boxes? 1 3. How many centimetres are in two and a half metres? 6. Divide 120 by 4. 7 . 9 x 6 = 30 + ? 1 4.

Hand-in date:________________ P4.1(a) Add and subtract decimals, including a mix of whole numbers and decimals, decimals with different numbers of decimal places 1 Work out: a 0.3 b 0.7 c 2.4 + 0.4 + 0.5 + 0.8

........... ............. ............

d 5.61 e 0.379 + 1.47 + 2.312

.............. ..................

2 Work out: a 0.9 b 1.6 c 3.1 – 0.4 – 0.7 – 1.6

............ ............ ............ d 0.347 e 0.634 – 0.129 – 0.545

................. .................

3 Work out:

a 0.451 + 1.2 + 0.03 b 3.1 + 1.907 + 0.0981 c 0.031 + 0.05 + 0.0428

..................................... ..................................... .....................................

d 2.7 + 3.670 + 1.25 e 0.56 + 7.08 + 0.4 f 1.92 + 2.375 + 0.008

..................................... ..................................... ..................................... 4 Work out: a 1.8 − 0.7 b 2.3 − 1.5 c 0.34 − 0.2 d 1.43 − 0.07

............................ ............................ ............................ ............................

e 0.923 − 0.87 f 1.63 − 0.127 g 0.0813 − 0.0135 h 0.7 − 0.356

............................ ............................ ............................ ............................

Page 3: Maths Homework Booklet P4 - Turton School · How many eggs are there in 6 boxes? 1 3. How many centimetres are in two and a half metres? 6. Divide 120 by 4. 7 . 9 x 6 = 30 + ? 1 4.

1. 16 + = 24

11. Ben arrives at the park at ten o’clock. He leaves at eleven o’clock. How many minutes does he spend at the park?

2. I think of a number and double it. The answer is 18. What was my number?

3. What must be added to 30 to make one hundred?

12. Ben wants to buy a packet of biscuits. He gives the shopkeeper 65p

The shopkeeper says, ‘You need 25p more to buy the biscuits’.

How much do the biscuits cost?

4. Joe has 44p. His friend then gives him 21p. How much does he have now?

5. 6 football teams enter a five-a-side tournament. How many players are in the tournament?

13. How many centimetres are in one and a half metres?

6. Divide ninety by three.

7. 7 x 10 = 82 - ?

14. I had one pound. I bought two cartons of drink and got thirty pence change. How much did each carton of drink cost?

8. Subtract twenty-one from one hundred.

9. What must be added to eighty-three to make one hundred?

15. Ben saved twenty-four 10p coins and ten 20p coins.

How much money has Ben saved?

10. One orange costs nineteen pence. How much will three oranges cost?

Page 4: Maths Homework Booklet P4 - Turton School · How many eggs are there in 6 boxes? 1 3. How many centimetres are in two and a half metres? 6. Divide 120 by 4. 7 . 9 x 6 = 30 + ? 1 4.

Hand-in date:________________ P 4.1(b) Multiply 2 digit numbers by 2 digit numbers

1 Work out:

a 23 b 37 c 182 d 279 e 153

× 2 × 3 × 5 × 8 × 10

...................... ...................... ...................... ...................... ......................

2 Work out:

a 73 × 10 b 73 × 20 c 73 × 10 d 73 × 20

...................... ...................... ...................... ......................

3 Work out:

a 91 × 20 b 83 × 50 c 41 × 40 d 82 × 70 e 14 × 30

...................... ...................... ...................... ...................... ......................

4 Work out:

a 27 × 21 b 59 × 18 c 28 × 32 d 15 × 97 e 38 × 23

...................... ...................... ...................... ...................... ......................

Page 5: Maths Homework Booklet P4 - Turton School · How many eggs are there in 6 boxes? 1 3. How many centimetres are in two and a half metres? 6. Divide 120 by 4. 7 . 9 x 6 = 30 + ? 1 4.

1. 18 + = 25

11. A film starts at three o’clock and ends at five o’clock. How many minutes does the film last?

2. I think of a number and half it. The answer is 7.

What was my number?

3. What must be added to 60 to make one hundred?

12. Susan has 54p.

Mary has 22p more than her.

How much do they have altogether?

4. Joe saves 28p. His friend gives him 31p. How much does he have now?

5. 4 boys have 6 sweets each. How many sweets do they have altogether?

13. How many millimetres are in eight and a half centimetres?

6. Divide 120 by 3.

7. 7 x 6 = 30 + ?

14. I had one pound. I bought two chocolate bars and got ten pence change.

How much did each chocolate bar cost?

8. Subtract thirty-two from sixty-five.

9. What must be added to eighty-three to make one hundred?

15. Ben saved seventeen 10p coins and two 20p coins. How much money has Ben saved?

10. One orange costs sixteen pence. How much will four oranges cost?

Page 6: Maths Homework Booklet P4 - Turton School · How many eggs are there in 6 boxes? 1 3. How many centimetres are in two and a half metres? 6. Divide 120 by 4. 7 . 9 x 6 = 30 + ? 1 4.

Hand-in date:________________ P4.1(c) Short division with no remainders

1 Work out:

a) b) c) d)

3 3 1 5 4 5 3 2 5 9 1 5 3 8 2 4 1

2 Work out:

a) b) c) d)

6 8 3 2 2 7 4 4 1 9 1 3 9 5 11 4 2 1 3

3 Six friends share the cost of renting a holiday cottage for the weekend. The cottage costs £726. How much does each friend pay?

Show your working out below:

4 Marge spends £352 between her 4 children at Christmas. How much is spent on each child?

Show your working out below:

5 Sam buys a tub of 128 sweets. He shares them between his 8 friends. How many sweets does each friend get?

Show your working out below:

6 Frankie says to divide a number by 18, you would first divide the number by 6, then divide the answer by 3. Use this method to divide 702 by 18.

Show your working out below:

7 Ben says you can divide a number by 18, by first dividing it by 9, then dividing the answer by 2. Use this method to work out 810 ÷ 18

Show your working out below:

Page 7: Maths Homework Booklet P4 - Turton School · How many eggs are there in 6 boxes? 1 3. How many centimetres are in two and a half metres? 6. Divide 120 by 4. 7 . 9 x 6 = 30 + ? 1 4.

1. 8 + = 25

11. Emmerdale starts at seven o’clock and ends at half past seven.

How many minutes does Emmerdale last?

2. I think of a number and half it. The answer is 20.

What is my number?

3. What must be added to 30 to make one hundred?

12. John has 52 toy soldiers.

Mark has 18 more than him.

How many soldiers does Mark have?

4. Joe saves 55p. His friend gives him 25p. How much does he have now?

5. There are 6 eggs in a box.

How many eggs are there in 6 boxes?

13. How many centimetres are in two and a half metres?

6. Divide 120 by 4.

7. 9 x 6 = 30 + ?

14. I had two pounds. I bought two chocolate bars and got forty pence change.

How much did each chocolate bar cost?

8. Subtract twenty-four from sixty-five.

9. What must be added to seventy-six to make one hundred?

15. Ben saved seven 10p coins and twelve 5p coins. How much money has Ben saved?

10. One orange costs fifteen pence. How much will three oranges cost?

Page 8: Maths Homework Booklet P4 - Turton School · How many eggs are there in 6 boxes? 1 3. How many centimetres are in two and a half metres? 6. Divide 120 by 4. 7 . 9 x 6 = 30 + ? 1 4.

Hand-in date:________________ P4.2 Interpret negative numbers in context

1 Shade in the thermometers to show these temperatures

a) 2OC b) -2OC c) -1OC

2 a) What is at 6m? ………………………….

b) What is at -3m? ………………………….

c) What is at 1m? ………………………….

d) What is at -4m? ………………………….

e) What is at 2m? ………………………….

f) How many metres higher is the bird from the car? ………………………………… m

g) How many metres below the swimmer is the octopus? ………………………………. m

h) How many metres below the seagull is the submarine? ……………………………. M

3 Which is the smallest and largest number in each list?

a) 6, -10, 3, 0 The smallest ………. The largest ………..

b) -4, -2, -8, -3 The smallest ………. The largest ………..

c) 8, -2, -3, 0 The smallest ………. The largest ………..

d) -5, 0, 1, 2 The smallest ………. The largest ………..

Page 9: Maths Homework Booklet P4 - Turton School · How many eggs are there in 6 boxes? 1 3. How many centimetres are in two and a half metres? 6. Divide 120 by 4. 7 . 9 x 6 = 30 + ? 1 4.

1. + 7 = 25

11. Ben arrives at the park at half past ten. He leaves at eleven o’clock. How many minutes does he spend at the park?

2. I think of a number and double it. The answer is 16. What was my number?

3. What must be added to 60 to make one hundred?

12. David has 35 football cards.

Sam has 25 more than him.

How many football cards does Sam have?

4. Joe saves 37p. His friend gives him 21p. How much does he have now?

5. How many days are there in 5 weeks?

13. How many centimetres are in a quarter of a metre?

6. Divide 150 by 3.

7. 7 x 5 = 80 - ?

14. I had one pound. I bought two cartons of drink and got 36 pence change. How much did each carton of drink cost?

8. Subtract seventy-eight from one hundred.

9. What must be added to thirty-seven to make one hundred?

15. Ben saved twenty 10p coins and four 20p coins.

How much money has Ben saved?

10. One orange costs sixteen pence. How much will three oranges cost?

Page 10: Maths Homework Booklet P4 - Turton School · How many eggs are there in 6 boxes? 1 3. How many centimetres are in two and a half metres? 6. Divide 120 by 4. 7 . 9 x 6 = 30 + ? 1 4.

Hand-in date:________________ P4.3(a) Read and write decimal numbers as fractions up to thousandths including decimals greater than 1.

1 Write each of these decimals as fractions. The place value of the last column each time gives you the denominator of the fraction.

units tenths hundredths thousandths Answer written as a fraction

a 0 . 0 1

b 0 . 0 0 9

c 0 . 5 3

d 4 . 7

e 5 . 0 8 3

2 Write each of these decimals as fractions.

a 0.7 b 0.09 c 0.003. d 2.13

............................ ............................ ............................ ............................

3 Write each of these as fractions in their simplest form.

a 0.8 b 0.36 c 0.006 d 3.15

............................ ............................ ............................ ............................

4 Write these fractions as decimals

a 4100 b 65

100 c 710 d 343

1000

............................ ............................ ............................ ............................

Page 11: Maths Homework Booklet P4 - Turton School · How many eggs are there in 6 boxes? 1 3. How many centimetres are in two and a half metres? 6. Divide 120 by 4. 7 . 9 x 6 = 30 + ? 1 4.

1. 23 + = 34

11. Ben arrives at the park at half past three. He leaves at four o’clock. How many minutes does he spend at the park?

2. I think of a number and half it. The answer is 9. What was my number?

3. What must be added to 10 to make one hundred?

12. Tony has 39p.

He needs 21p more to buy a bottle of coke.

How much does the coke cost?

4. Joe saves 25p. His dad gives him 23p. How much does he have now?

5. There are 5 pencils in a packet. How many pencils will be in 8 packets?

13. How many millimetres are in ten and a half centimetres?

6. Divide one 180 by 6.

7. x 6 = 60 - 36

14. I had one pound. I bought two chocolate bars and got fourteen pence change. How much did each chocolate bar cost?

8. Subtract thirty-four from seventy-one.

9. What must be added to fifty-six to make one hundred?

15. Ben saved eleven 10p coins and ten 5p coins and three 2p coins. How much money has Ben saved?

10. One orange costs twenty-three pence. How much will four oranges cost?

Page 12: Maths Homework Booklet P4 - Turton School · How many eggs are there in 6 boxes? 1 3. How many centimetres are in two and a half metres? 6. Divide 120 by 4. 7 . 9 x 6 = 30 + ? 1 4.

Hand-in date:________________ P4.3(b) Understand the equivalence of fractions, decimals, percentages and that they are all different ways of expressing proportion

1 Write the following decimals to fractions a) 0.9 b) 0.13 c) 0.215

............................ ............................ ............................

2 Write the following fractions to decimals

a) 𝟗𝟗𝟏𝟏𝟏𝟏

b) 17100

c) 5310

............................ ............................ ............................

3 Write the following fractions as percentages

a) 710 b) 3

25 c) 15

20

............................ ............................ ............................

4 Write the following percentages as decimals

a) 78% b) 9% c) 0.3%

............................ ............................ ............................

5 What fraction of these shapes is shaded?

a) b)

Page 13: Maths Homework Booklet P4 - Turton School · How many eggs are there in 6 boxes? 1 3. How many centimetres are in two and a half metres? 6. Divide 120 by 4. 7 . 9 x 6 = 30 + ? 1 4.

1. 25 - = 18

11. Assembly starts at three o’clock and ends at quarter past three. How many minutes does assembly last?

2. I think of a number and half it. The answer is 12. What was my number?

3. What must be added to 80 to make one hundred?

12. Josh has 39p.

He needs another 30p to be able to buy a colouring book.

How much is the colouring book?

4. Bob spends 80p on sweets and 17p on a drink. How much does he spend?

5. 10 teams play 5-a-side football. How many players are in the tournament?

13. What is 56cm added to 2m 50cm?

6. Divide 180 by 6.

7. 5 x 6 = 90 ÷ ?

14. I had two pounds. I bought two chocolate bars and got fifty-six pence change. How much did each chocolate bar cost?

8. Subtract twenty-six from seventy-nine.

9. What must be added to thirty-six to make one hundred?

15. Ben saved eight 10p coins, three 5p coins and six 2p coins.

How much money has Ben saved?

10. One orange costs nineteen pence. How much will three oranges cost?

Page 14: Maths Homework Booklet P4 - Turton School · How many eggs are there in 6 boxes? 1 3. How many centimetres are in two and a half metres? 6. Divide 120 by 4. 7 . 9 x 6 = 30 + ? 1 4.

Hand-in date:________________ P4.3(c) Represent the percent symbol % and understand that percent related to ‘number of parts per hundred’ & write percentages as a fraction with denominator hundred.

1 What percentage of these squares are shaded ?

a) b)

…………….% …………….%

2 One hundred people were asked what type of film they like to watch. 34 of them said “comedy”. What percentage of people surveyed liked comedy films?

………………….%

3 Write the following fractions as percentages

a) 5100

b) 13100

c) 125100

…………….. ……………. ………………

4 Write the following percentages to fractions

a) 29% b) 2% c) 118%

…………….. ……………. ………………

5 Write the following as percentages

a) 0.09 b) 45100

c) 1.65

………………… ………………… ………………..

Page 15: Maths Homework Booklet P4 - Turton School · How many eggs are there in 6 boxes? 1 3. How many centimetres are in two and a half metres? 6. Divide 120 by 4. 7 . 9 x 6 = 30 + ? 1 4.

1. 25 + = 34

11. Assembly starts at half past two and ends at three o’clock. How many minutes does assembly last?

2. I think of a number, halve it and get 11. What was my number?

3. What must be added to 20 to make one hundred?

12. Josh has 27p.

He needs another 32p to be able to buy a colouring book.

How much is the colouring book?

4. Tom spends 60p on crisps and 14p on a drink. How much does he spend?

5. 5 teams play 7-a-side football. How many players are in the tournament?

13. What is 27cm added to 1m 80cm?

6. Divide 240 by 6.

7. 5 x 4 = 80 ÷ ?

14. I had two pounds. I bought two chocolate bars and got 60 change. How much did each chocolate bar cost?

8. Subtract 35 from 52.

9. What must be added to 56 to make one hundred?

15. Ben saved five 10p coins, six 5p coins and seven 2p coins.

How much money has Ben saved?

10. One orange costs 16p. How much will three oranges cost?

Page 16: Maths Homework Booklet P4 - Turton School · How many eggs are there in 6 boxes? 1 3. How many centimetres are in two and a half metres? 6. Divide 120 by 4. 7 . 9 x 6 = 30 + ? 1 4.

Hand-in date:________________ P4.4(a) Measure and calculate the perimeter of compound shapes, made up of squares and rectangles in cm and m 1 Work out the perimeter of the shapes below. They are drawn on a centimetre grid

a) b)

……………………...cm ……………………...cm

2 Work out the perimeter of these rooms. They are not drawn to scale

a) b)

……………………...m …………………………..m

3 The perimeter of a rectangle is 46cm. Its height is 12cm. What is the width of the rectangle?

……………………...cm

4 The perimeter of a rectangle is 16cm. Its height and width are whole numbers.

Write down 4 possible pairs of width and height of this rectangle. (Hint, one is a square) Width…………….. Height ……………….. Width…………….. Height ……………….. Width…………….. Height ……………….. Width…………….. Height ………………..

8m

7m 10m 15m

6m

12m

8m

6m

Page 17: Maths Homework Booklet P4 - Turton School · How many eggs are there in 6 boxes? 1 3. How many centimetres are in two and a half metres? 6. Divide 120 by 4. 7 . 9 x 6 = 30 + ? 1 4.

1. 21 + = 36

10. Assembly starts at quarter past two and ends at half past two. How many minutes does assembly last?

2. I think of a number, double it and get 20. What was my number?

3. What must be added to 60 to make one hundred?

11. Josh has 52p.

He needs another 12p to be able to buy a colouring book.

How much is the colouring book?

4. Tom spends 50p on crisps and 25p on a drink. How much does he spend?

5. 5 teams play 9-a-side football. How many players are in the tournament?

12. What is 85cm added to 1m 80cm?

6. Divide 420 by 6.

7. 6 x 3 = 23 - ?

13. I had two pounds. I bought two chocolate bars and got 90p change. How much did each chocolate bar cost?

8. Subtract 39 from 51.

9. What must be added to 73 to make one hundred?

14. Ben saved seven 10p coins, ten 5p coins and six 2p coins.

How much money has Ben saved?

Page 18: Maths Homework Booklet P4 - Turton School · How many eggs are there in 6 boxes? 1 3. How many centimetres are in two and a half metres? 6. Divide 120 by 4. 7 . 9 x 6 = 30 + ? 1 4.

Hand-in date:________________ P4.4(b) Calculate and compare the area of squares and rectangles and related compound shapes

1 Work out the area of the shapes below. They are drawn on a centimetre grid

a) b)

………………………………..cm2 ………………………………………..cm2

2 Work out the area of the rooms below. They are not drawn to scale

a) b)

……………………………………………….m2 …………………………………………………m2

3 The area of a rectangle is 36cm2. Its height is 12cm. What is the width of the rectangle?

……………………...cm

4 The area of a rectangle is 20cm2. Its height and width are whole numbers.

Write down 3 possible pairs of width and height of this rectangle Width…………….. Height ……………….. Width…………….. Height ……………….. Width…………….. Height ………………..

8m

7m 10m 15m

6m

12m

8m

6m

Page 19: Maths Homework Booklet P4 - Turton School · How many eggs are there in 6 boxes? 1 3. How many centimetres are in two and a half metres? 6. Divide 120 by 4. 7 . 9 x 6 = 30 + ? 1 4.

1. 11 + = 23

11. Assembly starts at ten past two and ends at half past two. How many minutes does assembly last?

2. I think of a number, double it and get 18. What was my number?

3. What must be added to 30 to make one hundred?

12. Josh has 49p.

He needs another 11p to be able to buy a colouring book.

How much is the colouring book?

4. Tom spends 30p on crisps and 15p on a drink. How much does he spend?

5. 5 teams play 5-a-side football. How many players are in the tournament?

13. What is 70cm added to 1m 63cm?

6. Divide 320 by 4.

7. 6 x 7 = 39 + ?

14. I had two pounds. I bought two chocolate bars and got 70p change. How much did each chocolate bar cost?

8. Subtract 29 from 75.

9. What must be added to 53 to make one hundred?

15. Ben saved two 50p coins, six 10p coins and three 5 coins.

How much money has Ben saved?

10. One orange costs 18p. How much will three oranges cost?