wayground logo

Free Printable Worksheets

NEW

Font size

S
M
L
XL
Worksheets

Year 8 - End of year test 1

Total questions: 27

Worksheet time: 7hrs 45mins

Name
Class
Date
1.

Simplify 3mmm + 3m (1m)

a)

8m

b)

4m4

c)

4m

2.

Simplify 2 × n × p × 4 (1m)

a)

8np

b)

6np

c)

2np4

3.

Simplify 5e + 4e2 + 3e − 6e2 (1m)

a)

6e2

b)

8e + 10e2

c)

8e - 2e2

4.

Expand and simplify 5(p + 3) – 2(1 – 2p) (2m)

a)

9p + 13

b)

3p + 13

c)

9p + 17

5.

Make w the subject of d = 2w – 5   (2m)

a)

2 (d - 5)

b)

5d - 2

c)

d+52\frac{d+5}{2}

6.

Solve 8(m – 5) = 48 (2m)

a)

11

b)

6

c)

1

7.

Solve 10t – 19 = 7t – 14  (2m)

a)

35\frac{3}{5}

b)

53\frac{5}{3}

c)

11

8.

Solve 6x2 = 24 (2m)

a)

2, -2

b)

4, -4

c)

0, 4

9.

 Solve    9+x7= 11xSolve\ \ \ \ \frac{9+x}{7}=\ 11-x  (3m)

a)

8.5

b)

34

c)

1

10.

PQR is an isosceles triangle.


PQ = PR

All the angles are in degrees.

Work out the value of x. (4m)

a)

10.5

b)

22.5

c)

25.5

11.

Tom uses his lorry to deliver bricks.

You can use this graph to find the delivery cost for different distances.


For each delivery, there is a fixed charge plus a charge for the distance.

(a) How much is the fixed charge? (1m)

a)

15

b)

5

c)

10

12.

Tom makes two deliveries of bricks.

The distance of one delivery is 20 miles more than the distance of the other delivery.

(b) Work out the difference between the two delivery costs. (2m)

a)

20

b)

30

c)

50

13.

Joseph traveled from his home to his friendʼs house 15 km away. Joseph stayed for some time and then returns home.

Here is the distance-time graph.


(a) How far was Joseph from home at 14:30? (1m)

a)

15 km

b)

10 km

c)

6 km

14.

Joseph traveled from his home to his friendʼs house 15 km away. Joseph stayed for some time and then returns home.

Here is the distance-time graph.


(b) How long did Joseph spend at his friendʼs house? (1m)

a)

60 min

b)

30 min

c)

20 min

15.

Find an equation for line L. (3m)

a)

y = 2x - 6

b)

y = 6x - 3

c)

y = 3x - 6

16.

A is the point with coordinates (5, 9)

B is the point with coordinates (d, 15)

The gradient of the line AB is 3

Work out the value of d. (3m)

a)

2

b)

7

c)

6

17.

Write down the gradient and y-intercept of the line L1 is y = 3x − 2. (1m)

a)

gradient = 3, y-intercept = -2

b)

gradient = -2, y-intercept = 3

c)

gradient = 0, y-intercept = -2

18.

Find the gradient and y intercept of the line L2 is 3y − 9x + 5 = 0 (2m)

a)

gradient = 3, y-intercept = 5

b)

gradient = 3, y-intercept = -5/3

c)

gradient = -9, y-intercept = 5

19.

The spinner is spun once.

(a) Work out the probability that the spinner will land on 2. (1m)

a)

0.3

b)

3

c)

0.25

20.

Jake is going to spin the spinner 60 times.

(b) Work out an estimate for the number of times the spinner will land on 1. (1m)

a)

12

b)

20

c)

15

21.

The scatter graph gives information about the hand length and the foot length of each of 8 people.


(a) Describe the correlation between the hand length and the foot length of these people. (1m)

a)

negative correlation

b)

positive correlation

c)

zero correlation

22.

The scatter graph gives information about the hand length and the foot length of each of 8 people.


Toby has a hand length of 18.5 cm.

(b) Find an estimate for Toby's foot length. (1m)

a)

24.5

b)

27

c)

20

23.

A shop sells desktop computers, laptops and tablets.

The composite bar chart shows information about sales over the last three years.


(a) Write down the number of desktop computers sold in 2015. (1m)

a)

250

b)

300

c)

100

24.

A shop sells desktop computers, laptops and tablets.

The composite bar chart shows information about sales over the last three years.


(b) Work out the total number of laptops sold in the 3 years. (3m)

a)

1040

b)

660

c)

280

25.

(c) State the item that had the greatest increase in sales over the 3 years. Give reason. (2m)

a)

Laptops

b)

Desktop computers

c)

Tablets

26.

The pie chart shows information about the visitors to a restaurant in a town.


375 people had fish and chips.

How many people had pizza? (3m)

a)

68

b)

130

c)

195

27.

The frequency polygons show the amount of time that 30 students in year 7 and 30 students in year 11 spent on their last math homework.


a) What is the difference between the modal time for year 7s and year 11? (3m)

a)

30

b)

15

c)

45