Year 8 Maths Remote learning pack 2 - Ark Globe Academy 8 Maths Work Pack Phase... · halve it. If...

Year 8 Maths

Remote learning

pack 2

Year 8 Maths Pack 2

Day Title Objective Resource provided

Outcome On-Line Support

1 Time To be able to read an analogue and digital clock

Do now Worksheet

1) Do now day 1 2) Worksheet 1:

Time

Maths watch clip N7b

2 Place value To be able to recognise the place value of a number

Do now Worksheet


Place value

Maths watch clip N1a, N1B, N1C

3 Factors and Multiples

To be able to identify factors, primes and multiples

Do now Worksheet


Factors and Multiples

Maths watch clip 28, 79 and 80

4 Order of operations

To be able to follow the order of operations

Do now Worksheet


Order of operations

Maths watch clip N20

5 Negative numbers

To be able to complete all 4 operations with negative numbers

Do now Worksheet


Negative numbers

Maths watch clip 23 68a and 68b

6 Expressions equations and inequalities

To be able to manipulate and form expression, equations and inequalities

Do now Worksheet


Expressions etc

Maths watch clip A3, 33, 34,35,

7 Mixture To be able to answer questions on a mixture of topics covered so far

Do now Worksheet


Mixture

All of above

8 Fractions To be able to complete all 4 operations with fractions

Do now Worksheet

1) Do now day 8: 2) Worksheet 8:

Order of operations

Maths watch clip 70,71,72,73,74

9 FDP To be able to express values and fractions, decimals and percentages

Do now Worksheet


Fractions, decimals and percentages

Maths watch clip 85

10 Solving equations

To be able to solve simple and complex equations

Do now Worksheet


Solving equations

Maths watch clip 135a and 135b

Day 1 Do Now 1

Answers

1 11 21

2 12 22

3 13 23

4 14 24

5 15 25

6 16 26

7 17 27

8 18 28

9 19 29

10 20 30

Day 1: Time

1

Complete the table below for the possible times that the watches could be showing:

2

Write these amounts of times in the units stated.

a) 12 minutes in seconds.

b) 90 minutes in hours and minutes.

c) One week in hours.

d) Two and a half days in minutes.

Day 2 Do Now 2

Answers

1 11 21

2 12 22

3 13 23

4 14 24

5 15 25

6 16 26

7 17 27

8 18 28

9 19 29

10 20 30

Day 2: Place value

1

Write in words:

a) 4453

b) 340,096

c) 1,290,432

d) 9,034,023

2

Write in figures:

a) Three thousand, four hundred and eight

b) Two hundred and ninety-four thousand, one hundred and twenty-eight

c) Four million, two hundred and twenty thousand

d) A quarter of a million

3

What is the palce value of the 2 in each of the following numbers?

a) 198,299

b) 2,040,949

c) 94,542

4

Given that 18 × 13 = 234, find the solutions to the following calculations:

a) 9 × 13

b) 36 × 13

c) 9 × 26 Which one of the above is equivalent to 18 × 13 = 234?

5

Given that: 𝟐𝟖𝟓𝟔 = 𝟏𝟕 × 𝟏𝟔𝟖 figure out whether the following are true or false:

a) 168 × 17 = 2856

b) 2856 ÷ 17 = 168

c) 17

2856= 168

d) 168 ÷ 17 = 2856

e) 2856 × 17 = 168

Day 3 Do Now 3

Answers

1 11 21

2 12 22

3 13 23

4 14 24

5 15 25

6 16 26

7 17 27

8 18 28

9 19 29

10 20 30

Day 3- Factors and Multiples

1

From the list above:

a) List all the prime numbers

b) List all the square numbers

c) List all the factors of 80

d) List all the multiples of 8

2

List the first 3 common multiples of :

a) 3 and 4

b) 15 and 20

3

List the common factors of :

a) 12 and 60

b) 40 and 50

4

Find three numbers that have:

a) Exactly 2 factors

b) An odd number of factors

c) Exactly 3 factor

Day 4 Do Now 4

Answers

1 11 21

2 12 22

3 13 23

4 14 24

5 15 25

6 16 26

7 17 27

8 18 28

9 19 29

10 20 30

Day 4- Order of Operations

1

Use BIDMAS to answer the following questions:

a) 3 + 4 × 2 + 1

b) 3 × 4 − 2 + 1

c) 3 + 4 − 2 × 1

d) 3 − 4 × 2 + 1

e) 3 × 4 × 2 − 1

2

Are these equations true are false?

a) 3 × (4 + 7) = 3 × 4 + 3 × 7

b) 3 × (4 + 7) = 3 × 12

c) 3 × (4 + 7) = 12 × 21

d) 3 × (4 + 7) = 12 × 11

e) 3 × (4 + 7) = 3 × 4 + 7

3

What are the answers to the following calculations:

a) 5 × 22

b) 5 + 33 − 7

c) 9 ÷ 32 × 4

4

Write these statements as written calculations:

a) I think of a number, then I add 5

b) I think of a number, then multiply by 6, then add 5

c) I think of a number, then add 5, then multiply by 6

d) I think of a number, then add 5, then divide by 3

e) I think of a number, then multiply by 6, then add 5, then divide by 3

f) I think of a number, then add 5, then divide by 3, then multiply by 6

5

In what ways are these calculations the same or different:

Day 5 Do Now 5

Answers

1 11 21

2 12 22

3 13 23

4 14 24

5 15 25

6 16 26

7 17 27

8 18 28

9 19 29

10 20 30

Day 5-Negative Numbers

1

Order the following integers in descending order:

a) -2, -6, 1, 7, 0, -5

b) -7, 3, 0, 7, 8

c) 5.1, -4.3, 6.2, -2.2, 8.0. -3.1, 0

What does the word ascending mean?

2

a) (-5) + (-3) = g) 5 + (-3) = m) (-5) + 3 =

b) (-7) + (-4) = h) 7 + (-4) = n) (-7) + 4 =

c) (-6) + (-9) = i) 5 + (-5) = o) (-6) + 9 =

d) (-7) – (-5) = j) 7 – (-5) = p) (-7) – 5 =

e) (-9) – (-3) = k) 9 – (-3) = q) (-9) - 3 =

f) (-8) – (-5) = l) 8 – (-5) = r) (-8) – 5=

3

a) (-4) × (-3) = g) 5 × (-3) = m) (-42) ÷ 3 =

b) (-7) × (-4) = h) 7 × (-4) = n) (-36) ÷ 4 =

c) (-6) × (-9) = i) 5 × (-5) = o) (-45) ÷ 9 =

d) (-7) × 5 = j) 35 ÷ (-5) = p) (-35) ÷ (-5) =

e) (-9) × 3 = k) 27 ÷ (-3) = q) (-27) ÷ (-3) =

f) (-8) × 5 = l) 40 ÷ (-5) = r) (-40) ÷ (-5) =

4

Fill in the missing value:

a) −3 + ∎ = 7 d) −2 − ∎ = −8

b) 7 − ∎ = −10 e) −3 − ∎ = 10

c) 8 + ∎ = 6 f) −10 + ∎ = −30

Day 6 Do Now 6

Answers

1 11 21

2 12 22

3 13 23

4 14 24

5 15 25

6 16 26

7 17 27

8 18 28

9 19 29

10 20 30

Day 6- Expressions, Equations and Inequalities

1

Simplify the following:

a) 𝑥 − 2𝑦 + 2𝑥 + 3𝑦 + 𝑦

b) 𝑎 + 𝑎 + 𝑏 + 2𝑎 − 𝑏 + 2𝑏

c) 5𝑑 + 3𝑒 − 4𝑑 − 7𝑒 + 𝑑

2

Simplify the following:

a) 𝑥3 + 𝑥2 + 𝑥2 + 𝑥

b) 𝑥2𝑦 + 3𝑥3 − 𝑥2𝑦 + 𝑥𝑦2

c) 3𝑥2 + 4𝑥 − 𝑥2 + 𝑥 − 3

d) 3𝑥𝑦 + 3𝑦 + 2 + 1

e) 8𝑥2 − 3𝑥 − 𝑥2 − 4𝑥

3

If 𝑥 = 3, 𝑦 = 4 and 𝑧 = 5 what is the value of:

a) 𝑦 + 2𝑧 =

b) 3𝑥 + 2𝑦 − 𝑧 =

c) 𝑥𝑦 − 𝑦𝑧 =

d) 𝑦2 + 2𝑧 =

e) 𝑦𝑧2 =

4

If 𝑎 = −2, 𝑏 = −3, 𝑐 = 4, what is:

a) 2𝑏2 =

b) 𝑐2 − 𝑏2 =

c) 𝟕𝑏𝑐 + 𝑎 =

d) 𝑎𝑏 − 𝑏𝑐 =

e) 8𝑎2 + 4𝑏 =

5

A number is represented by 𝑥. How would we represent:

a) 2 more than the number.

b) 5 times the number.

c) 3 less than than twice the number.

d) Twice as much as 3 less than the number.

6

The cost of a badger is 𝑏 pence. A racoon is 5 pence more expensive than a badger and

a beaver three times as expensive as a badger.

a) What is the cost of a racoon?

b) What is the cost of a beaver?

c) What is the total cost of a racoon and 8 beavers?

7

Expand (and where relevant simplify) the following:

a) 2(𝑥 + 4) = g) 5(3𝑥 − 2) − 7𝑥 =

b) 9(𝑥 − 3) = h) 7(2𝑥 − 4) − 3(𝑥 − 2) =

c) 3(2𝑥 + 1) = i) 2 − (𝑥 − 1) =

d) 9(9 − 2𝑥) = j) 3 − (1 − 𝑥) =

e) 2(𝑥 + 1) + 3(𝑥 + 2) = k) 10 − 2(4 + 𝑥) =

f) 7(2𝑥 + 3) + 2(𝑥 − 4) = l) 5 − 3(1 − 4𝑥) =

Day 7 Do Now 7

Answers

1 11 21

2 12 22

3 13 23

4 14 24

5 15 25

6 16 26

7 17 27

8 18 28

9 19 29

10 20 30

Day 7- Mixture

1 Find two numbers which have a sum of -2 and a difference of 8.

2

□ + 8 ÷ 2 = 10

Which number should replace the box to make a true statement?

3

My train left Southampton at 06:15 and arrived in Birmingham at 08:48 later that

morning. How many minutes did the journey take

4

I think of a number, multiply it by 5, subtract 2, subtract the original number, and then

halve it. If the starting number was 𝑥, give an expression for the final answer, as simply

as possibly.

5

The positive whole numbers 𝑎, 𝑏 and 𝑐 are all different and

𝑎2 + 𝑏2 + 𝑐2 = 121. What is the value of 𝑎 + 𝑏 + 𝑐?

6 How many three-digit numbers have an odd number of factors?

7

What is the value of

16 − 25 + 34 − 43 + 52 − 61

8 How many integers are greater than 20 + 18 and also less than 20 × 18?

9

Emily writes down the largest two-digit prime such that each of its digits is prime.

Krish writes down the smallest two-digit prime such that each of its digits is prime.

Kirsten subtracts Krish’s number from Emily’snumber. What answer does Kirsten

obtain?

10

Tamsin writes down three two-digit integers. One is square, one is prime and one is

triangular. She uses the digits 3, 4, 5, 6, 7 and 8 exactly once each. Which prime does

she write?

Day 8 Do Now 8

Answers

1 11 21

2 12 22

3 13 23

4 14 24

5 15 25

6 16 26

7 17 27

8 18 28

9 19 29

10 20 30

Day 8: Calculating with fractions and mixed numbers

12. Work out 3

8+

1

2

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

(Total for Question is 2 marks)

13. Work out 3

8+

1

3

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


14. Work out 2

5+

3

8

Give your answer in its simplest form.

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


15.

Work out 345

+ 37

Give your answer as a mixed number in its simplest form.

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


16. Work out 217

+ 114

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


17. Work out 3

5−

1

3

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


18. Work out 235

− 156

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


19. Work out 2

5×

3

8

Give your answer in its simplest form.

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


20. Work out 11

5 × 2

1

3


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


21. Work out 31

3 × 4

2

5


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


22. Work out 11

5 ÷

3

4


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


Day 9 Do Now 9

Answers

1 11 21

2 12 22

3 13 23

4 14 24

5 15 25

6 16 26

7 17 27

8 18 28

9 19 29

10 20 30

Day 9: Fractions, decimals and percentages

23. Write 0.19 as a fraction.

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

(Total for Question is 1 mark)

24. Write 0.8 as a percentage.

.................................%


25. Write 3

5 as a percentage.

.................................%


26. (a) Write 3

4 as a decimal.

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

(1)

(b) Write 0.3 as a fraction.

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

(1)


27. Write 3% as a fraction.

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


28. Write 0.075 as a fraction.

Give your fraction in its simplest form.

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


29.

(a) Write down the fraction of this shape that is shaded.

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

(1)

(b) Shade 30% of this shape.

(1)


30. There are 200 students in Year 11

75 of the students are girls.

Write down the fraction of the students that are girls.

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


31. Here are four numbers.

Write these numbers in order of size.

Start with the smallest number.

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


32. Write these numbers in order of size.

Start with the smallest number.

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


Day 10 Do Now 10

Answers

1 11 21

2 12 22

3 13 23

4 14 24

5 15 25

6 16 26

7 17 27

8 18 28

9 19 29

10 20 30

Day 10: Solving linear equations

71. (a) Solve x + 9 = 19

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

(b) Solve 2y = 17

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

(c) Solve 𝑤

4 = 8

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


72. Solve 7f + 6 = 27

f = ........................


73. Solve 9(c − 6) = 63

c = ........................


74. Solve 1

2 y + 5 = 12

y = ........................


75. Solve 2c + 5 = c + 8

c = ........................


76. Solve 4x + 3 = 7 – x

x = ........................


77. Solve 4(x + 3) = 2x + 8

x = ........................


Year 8 Maths Remote learning pack 2 - Ark Globe Academy 8 Maths Work Pack Phase... · halve it. If...

Documents

Transcript of Year 8 Maths Remote learning pack 2 - Ark Globe Academy 8 Maths Work Pack Phase... · halve it. If...