# Year 8 Maths Assessment

In this assessment, students will review their comprehension of topics covered in year 7 to help guide their assigned activities and progress in year 8. May take approximately 45 minutes to complete.

Key stage:  KS 3

Curriculum topic:   Assessment

Curriculum subtopic:   Starter Assessment

Difficulty level:

### QUESTION 1 of 10

In this assessment, you'll review your understanding of topics at the end of year 7 to help guide the activities assigned in year 8.

It may take approximately 45 minutes to complete. This is a timed activity, but don't worry if it takes you longer to complete.

In the number 3547821, what does the digit 4 represent?

four thousand

four million

forty thousand

7502 rounded to the nearest 1000 is

Work out:

18 + -100

-82

82

118

-118

Is the answer to the following calculation positive or negative?

-47 ÷ -4

Positive

Negative

Select all the digits which could replace ? to make the following number divisible by 3.

34?74

0

1

2

3

4

5

6

7

8

9

What is the lowest common multiple of... ?

2 and 12

What is the highest common factor of... ?

42 and 36

Work out:

√400

Work out:

0.12

Work out the value of:

27

128

64

27

14

Write as a reduced fraction in its lowest terms:

10 mins as a fraction of 1 hour. =
 A B
 reduced values A B

Find

90% of 800

What has been subtracted to change 7.59 to 7.49?

Is the following number prime or composite?

95

Composite

Prime

Select the correct prime factorisation for:

20

4 x 5

2 x 2 x 5 x 5

2² x 5

2³ x 5

You may use a calculator for this question.

Is the following comparison true or false

 8 10
>
 9 13

True

False

You may use a calculator for this question.

Work out the missing number.

2351.5 ÷ __________ = 51.54

45.62475747

44.52485747

42.63475747

48.62455747

Jack buys a book for £24.

Which of these two coupons would be better for him to use to get the better discount?

Orange £5 off

Blue 25% off

Both the same

Which is more?

1520 ml

1.5 l

They are equal.

Share £300 in the ratio 2:1 between two people.

How much does the second person get in £?

(Just write the number.)

Work out the value of the following expression when a = 4:

2a - 7

Simplify:

15c - c

Solve for a:

7a - a = 12

a = 19

12

a = 2

The nth term of a sequence is given by the formula 6n - 4

Match the first five terms of the sequence to the given values of n.

## Column B

n=1
8
n=2
20
n=3
2
n=4
14
n=5
26

Jack has m toy cars and his sister gives him 24 more.

Choose the expression which shows how many he has now.

m

m + 24

24m

m - 24

Find the shaded area of the following shaded shape in units2.  (Just write the number.)

Calculate the unknown angle.

a = 120

a = 120°

a = 60°

Look at the coordinate grid below.

Which point has coordinates (3, -2)?

A

B

C

D

E

F

G

H

I

J

The following table shows the money (in multiples of £100 rounded to the nearest £100) collected by people on a sponsored run.

Work out the mean amount collected by each person.

 Money collected ( x £100) 1 2 3 4 5 Number of people 3 7 10 10 5

Mean:
 £

O   O   O        O   O   O   O   O   O    O

There are 3 red balls and 7 blue balls in a bag.

What is the probability of choosing a red ball when you select one at random?

0

3/7

3/10

7/10

• Question 1

In the number 3547821, what does the digit 4 represent?

forty thousand
EDDIE SAYS
The 4 is in the 10 000s column.
• Question 2

7502 rounded to the nearest 1000 is
8000
EDDIE SAYS
7502 is closer to 8000 than it is to 7000 because it is just over 7500.
• Question 3

Work out:

18 + -100

-82
EDDIE SAYS
18 - 100 = -82
• Question 4

Is the answer to the following calculation positive or negative?

-47 ÷ -4

Positive
EDDIE SAYS
A negative number divided by a negative number gives a positive answer.
• Question 5

Select all the digits which could replace ? to make the following number divisible by 3.

34?74

0
3
6
9
EDDIE SAYS
The sum of the digits must be divisible by 3.
The total so far is 3 + 4 + 7 + 4 = 18.
Only an extra multiple of 3 will keep the total as a multiple of 3.
• Question 6

What is the lowest common multiple of... ?

2 and 12

12
EDDIE SAYS
12 is a multiple of 2 and of itself.
• Question 7

What is the highest common factor of... ?

42 and 36

6
EDDIE SAYS
Factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42.
Factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36.
The highest that appears in both lists is 6.
• Question 8

Work out:

√400

20
EDDIE SAYS
20 × 20 = 400
• Question 9

Work out:

0.12

0.01
EDDIE SAYS
0.1 × 0.1 = 0.01
• Question 10

Work out the value of:

27

128
EDDIE SAYS
This is 2 × 2 × 2 × 2 × 2 × 2 × 2
Start at 2 and keep on doubling 6 times to get: 2, 4, 8, 16, 32, 64, 128.
• Question 11

Write as a reduced fraction in its lowest terms:

10 mins as a fraction of 1 hour. =
 A B
 reduced values A B
EDDIE SAYS
10/60 reduces to 1/6.
• Question 12

Find

90% of 800

720
EDDIE SAYS
10% is 80.
9 × 80 = 720
• Question 13
What has been subtracted to change 7.59 to 7.49?
0.1
EDDIE SAYS
7.59 - 0.10 = 7.49
• Question 14

Is the following number prime or composite?

95

Composite
EDDIE SAYS
95 is a multiple of 5.
• Question 15

Select the correct prime factorisation for:

20

2² x 5
EDDIE SAYS
2² × 5 = 4 × 5 = 20
4 × 5 = 20 too but 4 is not prime.
• Question 16

You may use a calculator for this question.

Is the following comparison true or false

 8 10
>
 9 13

True
EDDIE SAYS
8 ÷ 10 = 0.8 and 9 ÷ 13 = 0.6923... so 0.8 > 0.6923
• Question 17

You may use a calculator for this question.

Work out the missing number.

2351.5 ÷ __________ = 51.54

45.62475747
EDDIE SAYS
2351.5 ÷ 51.54 = 45.62475747
• Question 18

Jack buys a book for £24.

Which of these two coupons would be better for him to use to get the better discount?

Blue 25% off
EDDIE SAYS
£5 off £24 = £19
25% of 24 = 6, so 25% off £24 = £18
This means that the blue coupon provides a better discount.
• Question 19

Which is more?

1520 ml
EDDIE SAYS
1.5 litres = 1500 ml
• Question 20

Share £300 in the ratio 2:1 between two people.

How much does the second person get in £?

(Just write the number.)

100
EDDIE SAYS
There are £300 in 3 bags, so each bag contains £300 ÷ 3 = £100.
The second person gets 1 bag, i.e. 1 × £100 = £100.
• Question 21

Work out the value of the following expression when a = 4:

2a - 7

1
EDDIE SAYS
2 × 4 - 7 = 8 - 7 = 1
• Question 22

Simplify:

15c - c

14c
EDDIE SAYS
Subtract the numbers, i.e. 15c - 1c = 14c.
• Question 23

Solve for a:

7a - a = 12

a = 2
EDDIE SAYS
6a = 12
Divide both sides by 6 to get: a = 2
• Question 24

The nth term of a sequence is given by the formula 6n - 4

Match the first five terms of the sequence to the given values of n.

## Column B

n=1
2
n=2
8
n=3
14
n=4
20
n=5
26
EDDIE SAYS
6 × 1 - 4 = 6 - 4 = 2
6 × 2 - 4 = 12 - 4 = 8
6 × 3 - 4 = 18 - 4 = 14
6 × 4 - 4 = 24 - 4 = 20
6 × 5 - 4 = 30 - 4 = 26
• Question 25

Jack has m toy cars and his sister gives him 24 more.

Choose the expression which shows how many he has now.

m + 24
EDDIE SAYS
You must add 24 to m to get m + 24.
• Question 26

Find the shaded area of the following shaded shape in units2.  (Just write the number.)

180
EDDIE SAYS
14 × 14 - 4 × 4 = 196 - 16 = 180
• Question 27

Calculate the unknown angle.

a = 120°
EDDIE SAYS
360° - 240° = 120°
• Question 28

Look at the coordinate grid below.

Which point has coordinates (3, -2)?

E
EDDIE SAYS
3 on the x-axis.
-2 on the y-axis.
• Question 29

The following table shows the money (in multiples of £100 rounded to the nearest £100) collected by people on a sponsored run.

Work out the mean amount collected by each person.

 Money collected ( x £100) 1 2 3 4 5 Number of people 3 7 10 10 5

Mean:
 £
320
EDDIE SAYS
 Remember: total number of people add up the number of people. total amount collected multiply amount collected by number of people and add up.
• Question 30

O   O   O        O   O   O   O   O   O    O

There are 3 red balls and 7 blue balls in a bag.

What is the probability of choosing a red ball when you select one at random?

3/10
EDDIE SAYS
There are 3 red balls out of a total of 10 balls. This gives a probability of choosing a red ball as 3/10.
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