# Year 9 Maths Assessment

In this assessment, students will review their comprehension of topics covered at the end of year 8 to help guide assigned activities and progress for year 9. 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 covered at the end of year 8 to help guide your assigned activities in year 9.

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

Select all the integers.

45/2

-45/3

√49

-7

Work out:

-87 + -35 = ________

Multiply:

20.57 × 0.9 = _________

Work out:

37.2 ÷ 0.3

1.24

12.4

124

By which of the given numbers is the following number divisible?

1044

2

3

4

5

6

8

9

10

Match the correct values to each question.

a)  1 + 9 x 4 - 3

b)  (1 + 9) x 4 - 3

c)  1 + 9 x (4 - 3)

## Column B

a)
34
b)
37
c)
10

What is the product of 8 and 9 ?

Change the following number to one written in standard form:

513000

5.13 x 10

5.13 x 106

5.13 x 105

Which symbol should be placed between these two numbers?

3.4 x 104      ?      1.2 x 106

<

=

>

Select the correct prime factorisation for:

240

2 x 2 x 3 x 10

3² x 5

2³ x 3 x 5

24 x 3 x 5

Work out

 2 + 1 3 4

Change this mixed number into an improper fraction:

8
 3 7
= __________

Convert this fraction into a percentage:

 45 100
= __________%

(Just write the number.)

Work out:

 2 ÷ 1 9 2

Increase 55 by 13%.

Round the following number to 2 decimal places:

72.0632

Select an approximate value for the following square root.

√104 = _________

8.1

10.2

11.2

9.2

You may use a calculator for this question.

Find the value of:

633 = _________

Which is the better measurement for... ?

the capacity of a beer glass

1 pint

1 gallon

You may use a calculator for this question.

A car uses petrol at the rate of 1 gallon for every 40 miles travelled.

How many gallons will it take to travel 136 miles?

(Just write the number.)

In these algebra bricks, each brick shows the sum of the two bricks that it touches underneath.

Work out the values of A, B and C.

Match the expressions to the correct letter.

## Column B

A
2x + 1
B
3x
C
x - 1

Factorise fully:

15x + 10xy

25xy

5x(3 + 2y)

5(3x + 2xy)

Solve for a:

3a + 4 = 49

a = 49/3

a = 23

a = 15

Select the possible solutions to the inequality:

p + 4 ≤ 10

p = 6

p = 7

p = -7

p = 0

p = 9

Work out the nth term in this sequence:

1, 3, 5, 7, 9, 11 ...

Which of the following solutions fit the formula? ... y = 10 - 2x

Choose all of the correct answers, which may be shown as x =, y = solutions or as coordinates.

x = 3, y = 4

(1, -8)

(1, 8)

x = 3, y = -4

Look at this grid.

Select the coordinates of the midpoint of AB.

(-1, -3)

(-3, -3)

(2, 1)

(-2, 5)

(-3, 4)

(-1, 1)

(4½, -3)

(-½, 3)

(1, -3)

(0, 5)

You may use a calculator for this question.

Find the circumference of a circle of radius 25 cm.

(Just write the number to 1 decimal place.)

Look at the following diagram and work out the value of a.

(Just write the number.)

Work out the exterior angle of a regular pentagon.

(Just write the number.)

Look at these number cards.

What is the probability of selecting at random a number greater than 6 or less than 3?

(Write the answer as a fraction in its lowest terms using the / sign, e.g. 3/4.)

Find the volume of the following prism by splitting it into two cuboids and adding the volumes together.

(Just write the number.)

• Question 1

Select all the integers.

-45/3
√49
-7
EDDIE SAYS
Integers are whole numbers.
45/2 = 22.5 which is not an integer.
• Question 2

Work out:

-87 + -35 = ________

-122
EDDIE SAYS
-87 - 35 = -122
• Question 3

Multiply:

20.57 × 0.9 = _________

18.513
EDDIE SAYS
Work out 2057 × 9 = 18513.
Then divide by 1000.
• Question 4

Work out:

37.2 ÷ 0.3

124
EDDIE SAYS
Multiply both numbers by 10 to get 372 ÷ 3, which will have the same answer as the original question.
• Question 5

By which of the given numbers is the following number divisible?

1044

2
3
4
6
9
EDDIE SAYS
2: It ends in an even number.
3: Digit sum is 9 which is divisible by 3.
4: It ends in 44 which is divisible by 4.
5: It doesn't end in a 0 or 5.
6: Tests for 2 and 3 work.
8: It ends in 044 which is not divisible by 8.
9: Digit sum is 9 which is divisible by 9.
10: It doesn't end in a 0.
• Question 6

Match the correct values to each question.

a)  1 + 9 x 4 - 3

b)  (1 + 9) x 4 - 3

c)  1 + 9 x (4 - 3)

## Column B

a)
34
b)
37
c)
10
EDDIE SAYS
a) 1 + 9 × 4 - 3 = 1 + 36 - 3
b) (1 + 9) × 4 - 3 = 10 × 4 - 3 = 40 - 3
c) 1 + 9 × (4 - 3) = 1 + 9 × 1 = 1 + 9
• Question 7

What is the product of 8 and 9 ?

72
EDDIE SAYS
When asked for a product, you should multiply.
• Question 8

Change the following number to one written in standard form:

513000

5.13 x 105
EDDIE SAYS
Starting at 5.13, we need to multiply this by 10 five times.
• Question 9

Which symbol should be placed between these two numbers?

3.4 x 104      ?      1.2 x 106

<
EDDIE SAYS
34000 < 1200000
• Question 10

Select the correct prime factorisation for:

240

24 x 3 x 5
EDDIE SAYS
24 × 3 × 5 = 16 × 3 × 5 = 48 × 5 = 240
• Question 11

Work out

 2 + 1 3 4

11/12
EDDIE SAYS
Change to twelfths to get 8/12 + 3/12.
• Question 12

Change this mixed number into an improper fraction:

8
 3 7
= __________

59/7
EDDIE SAYS
The top will be 8 × 7 + 3.
• Question 13

Convert this fraction into a percentage:

 45 100
= __________%

(Just write the number.)

45
EDDIE SAYS
45/100 means 45%.
• Question 14

Work out:

 2 ÷ 1 9 2

4/9
EDDIE SAYS
Turn the second fraction upside down to get 2/1 then multiply.
• Question 15

Increase 55 by 13%.

62.15
EDDIE SAYS
1.13 x 55 = 62.15
• Question 16

Round the following number to 2 decimal places:

72.0632

72.06
EDDIE SAYS
The digit in the third decimal place is 3, which is low.
• Question 17

Select an approximate value for the following square root.

√104 = _________

10.2
EDDIE SAYS
√100 = 10, so √104 will be just above 10.
• Question 18

You may use a calculator for this question.

Find the value of:

633 = _________

250047
EDDIE SAYS
Use the power button. It may be marked as xy or as ^.
• Question 19

Which is the better measurement for... ?

the capacity of a beer glass

1 pint
EDDIE SAYS
A gallon is 8 pints, more the size of a watering can than a beer glass.
• Question 20

You may use a calculator for this question.

A car uses petrol at the rate of 1 gallon for every 40 miles travelled.

How many gallons will it take to travel 136 miles?

(Just write the number.)

3.4
EDDIE SAYS
136 ÷ 40
• Question 21

In these algebra bricks, each brick shows the sum of the two bricks that it touches underneath.

Work out the values of A, B and C.

Match the expressions to the correct letter.

## Column B

A
3x
B
x - 1
C
2x + 1
EDDIE SAYS
B = 1 - 2x + 3x - 2 = x - 1
C = 3x - 2 + 3 - x = 2x + 1
A = B + C = x - 1 + 2x + 1 = 3x
• Question 22

Factorise fully:

15x + 10xy

5x(3 + 2y)
EDDIE SAYS
5(3x + 2xy) is not FULLY factorised.
• Question 23

Solve for a:

3a + 4 = 49

a = 15
EDDIE SAYS
3a + 4 = 49
Subtract 4 from both sides to get:
3a = 45
Divide both sides by 3 to get:
a = 15
• Question 24

Select the possible solutions to the inequality:

p + 4 ≤ 10

p = 6
p = -7
p = 0
EDDIE SAYS
Subtract 4 from both sides to get:
p ≤ 6
• Question 25

Work out the nth term in this sequence:

1, 3, 5, 7, 9, 11 ...

2n-1
2n - 1
EDDIE SAYS
Common difference is 2.
• Question 26

Which of the following solutions fit the formula? ... y = 10 - 2x

Choose all of the correct answers, which may be shown as x =, y = solutions or as coordinates.

x = 3, y = 4
(1, 8)
EDDIE SAYS
When x = 3, y = 10 - 2 × 3 = 10 - 6 = 4
When x = 1, y = 10 - 2 × 1 = 10 - 2 = 8 which is the solution (1,8)
• Question 27

Look at this grid.

Select the coordinates of the midpoint of AB.

(-3, -3)
EDDIE SAYS
Half-distance is 2 units.
• Question 28

You may use a calculator for this question.

Find the circumference of a circle of radius 25 cm.

(Just write the number to 1 decimal place.)

157.1
EDDIE SAYS
2 × π × 25
• Question 29

Look at the following diagram and work out the value of a.

(Just write the number.)

55
EDDIE SAYS
The angle a is alternate to the one marked as 55°.
• Question 30

Work out the exterior angle of a regular pentagon.

(Just write the number.)

72
EDDIE SAYS
360 ÷ 5 = 72
• Question 31

Look at these number cards.

What is the probability of selecting at random a number greater than 6 or less than 3?

(Write the answer as a fraction in its lowest terms using the / sign, e.g. 3/4.)

2/3
EDDIE SAYS
The numbers that work are 1, 2, 7, 8, 9, 10, 11, 12 (i.e. 8 of them).
The probability of choosing one of these is 8/12 which reduces to 2/3.
• Question 32

Find the volume of the following prism by splitting it into two cuboids and adding the volumes together.

(Just write the number.)

120
EDDIE SAYS
We have two cuboids of dimensions 2 × 5 × 6, so each has volume 60.
---- OR ----

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