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Worksheets

Year 8 Term 3

Total questions: 29

Worksheet time: 40mins

Name
Class
Date
1.

The ratio of red counters to blue counters is 3 : 1


What fraction of the counters are blue?

a)

1/4

b)

3/4

c)

1/3

d)

3/1

2.

Share 30 in the ratio 2:1

a)

2:28

b)

20:1

c)

20:10

d)

10:20

3.

Share 180 in the ratio 3:2:1

a)

30:90:60

b)

90:60:30

c)

120:60:30

d)

60:30:90

4.

The angles of a triangle are in the ratio 3:1:2. What type of triangle is this?

a)

Isosceles

b)

Acute

c)

90

d)

Right Angle

5.

What is 10% of £250

a)

£2.50

b)

£25

c)

£250

d)

£2500

6.
What number is 20% of 35?
a)
7
b)
5
c)
10.5
d)
.07
7.
Calculate 5% of 140
a)
14
b)
28
c)
7
d)
70
8.
What percentage is equivalent to 3/10 ?
a)
30%
b)
3%
c)
33%
d)
300%
9.

What is 25% as a fraction?

a)

1/25

b)

1/5

c)

1/4

d)

1/2

10.

There are 20 questions in a test and you get 75% correct. How many questions do you get right ?

a)

15

b)

12

c)

10

d)

5

11.
A PRIME NUMBER is...
a)
a number that has only one factor.
b)
a number that has at least two factors.
c)
a number that has more than two factors.
d)
a number that has only two factors.
(1 and itself)
12.
Which number listed below is a prime number?
a)
1
b)
37
c)
63
d)
33
13.

Find the prime factorization of 16 ?

a)

1 x 16

b)

22x 4

c)

24

d)

22 + 22

14.

Find the prime factorization of 72

a)

23 x 32

b)

2 x 32 x 4

c)

24 x 33

d)

22 x 62

15.
Write 54 as a product of its prime factors.
a)
2x2x3x3
b)
2x3x3x3
c)
2x3x9
d)
6x9
16.

Round off 86 472 to 3 significant figures.

a)

864

b)

865

c)

86 400

d)

86 500

17.

Round off 35.089 to 1 significant figures.

a)

4

b)

30

c)

40

d)

40.000

18.

Round off 1,296,717 to 3 significant figures

a)

1,290,000

b)

1,296,000

c)

1,297,000

d)

1,300,000

19.

Round 0.010229 to four significant figures

a)

1022

b)

1023

c)

0.01023

d)

0.01022

20.
Simplify and combine like terms:  -6k +7k
a)
K
b)

-K

c)
13K
d)
-13K
21.
5x + 6 + 4x =
a)
15x
b)
x+6
c)
9x + 6
22.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
23.
Simplify by combining like terms:
4x2 - 3x + 11 -2x
a)
4x2 - 5x + 11
b)
11x + 11
c)
16x2 - 5x + 11
d)
10x2
24.
Which of these is the correct use of the distributive property for the following expression?
5(2x - 8)
a)
10x - 8
b)
10x + 40
c)
7x - 3
d)
10x - 40
25.
Simplify the following expression by combining like terms:
(3b - 4) - (4b + 6)
a)
-b + 2
b)
-b - 10
c)
7b - 10
d)
7b + 2
26.
Collect like terms: 
4y + 8d - 2y + 3d
a)
11d + 6y
b)
11d + 2y
c)
6y + 5d
27.
Simplify    5(2 - 7n)
a)
52 - 7n
b)
10 - 7n
c)
10 - 35n
d)
10 + 35n
28.

Fully factorise the following expression...


4x - 12

a)

4(x - 3)

b)

2(2x - 6)

c)

2(2x - 3)

d)

4(x - 12)

29.

Fully factorise the following expression...


2x - 10

a)

2(x - 3)

b)

2(x - 2)

c)

2(x - 5)

d)

2(x - 10)