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Year 9 Half Term 1 Mathematics Revision

Total questions: 35

Worksheet time: 2hrs 47mins

Name
Class
Date
1.

What is 1/4 as a decimal?

a)

0.2

b)

0.25

c)

0.4

d)

0.15

2.

What is 0.34 as a percentage?

a)

0.34%

b)

3.4%

c)

34%

d)

340%

3.

What is 0.4 as a fraction?

a)

2/5

b)

4/5

c)

1/4

d)

3/4

4.

Calculate 32% of 750m

a)

24m

b)

2.4m

c)

2400m

d)

240m

5.

A TV has a sale price of 25% off. The original price was £260. What is the sale price?

a)

£65

b)

£325

c)

£195

d)

£75

6.

Put these in order from smallest to largest.


HINT: convert them all to the same unit (either fractions, decimals or percentages)

a)

14\frac{1}{4} , 0.6, 50%

b)

50%, 14\frac{1}{4}, 0.6

c)

14\frac{1}{4} , 50%, 0.6

7.
3/5 + 1/4 = 
a)
5/20
b)
12/20
c)
7/20
d)
17/20
8.
1/4  ÷  2/5
a)
5/8
b)
2/20
c)
1/10
d)
3/9
9.
4/9  ÷  1/2
a)
8/9
b)
5/11
c)
6/10
d)
4/18
10.

Find 5/8 of £40

a)

£25

b)

£20

c)

£24

d)

£26

11.

Find 5/6 of £36

a)

£30

b)

£20

c)

£18

d)

£24

12.
Your 3 year investment of $20,000 received 5.2% interest compounded annually.  What is your total return?
a)
$23,285.05
b)
$3,285.05
c)
$2,385
d)
$32,285
13.
You borrowed $59,000 for 2 years at 11% which was compounded annually.  What total will you pay back?
a)
$13,693.90
b)
$1,363.90
c)
$72,693.90
d)
$73,793.90
14.
Your 6 year investment of $40,000 at 14% interest compounded annually is worth how much now?
a)
$47,798.90
b)
$87,798.90
c)
$127,798
d)
$7,798
15.

Change the following recurring decimal into a fraction.


Simplify your answer if possible.

a)

23/33

b)

71/99

c)

8/11

d)

24/33

16.

Change the following recurring decimal into a fraction.


Simplify your answer if possible.

a)

14/33

b)

42/99

c)

5/11

d)

13/33

17.

Change the following recurring decimal into a fraction.


Simplify your answer if possible.

a)

51/333

b)

153/999

c)

14/111

d)

52/333

18.
2f + f
a)
3f
b)
2f
c)
f
19.
Simplify the expression: 3x + 2x
a)
5x
b)
x
c)
6x
d)
5
20.
Combine like terms
3x + 2x + 3y - 7y
a)
5x + 10y
b)
5x + 4y
c)
5x - 4y
d)
5x -10y
21.
6x + 2x + 1 + 4
a)
8x + 5 
b)
2x - 3
c)
4x - 2
d)
8x + 12 
22.

Collect like terms:

x2+y2+x+2y-3y2

a)

2x2

b)

x2+y2+x-y

c)

x2-2y2+x+2y

d)

3x+y

23.

Expand and simplify

2 (a+b)

a)

2ab

b)

2a + b

c)

2a + 2b

d)

2(ab)

24.

4 (d + 2f)

a)

4d + 2f

b)

4d + 8f

c)

4d2f

d)

4d2f

25.

The length of a rectangle is (2w + 4). Its width is 5. Write a simplified expression for its area.

a)

5 (2w + 4)

b)

(2w + 4)+ (2w + 4)+(2w + 4)+ (2w + 4)+ (2w + 4)

c)

(2w + 4) + 5

d)

5 + (2w + 4)

26.

Fully factorise the following expression...


4x - 12

a)

4(x - 3)

b)

2(2x - 6)

c)

2(2x - 3)

d)

4(x - 12)

27.

Factorise

6m2 + 16m

a)

2(3m2 + 8m)

b)

2m(3m + 8)

c)

2m(3m - 8m)

d)

not factorable

28.
If a = 4 and b = 6, what is the value of 3a + 5b?
a)
40
b)
42
c)
44
d)
46
29.
If x = 5, find the value of 7x-1.
a)
34
b)
36
c)
35
d)
37
30.
If y = 4, find the value of 3y+5.
a)
27
b)
12
c)
17
d)
18
31.

(x-7)(x+3)

a)

x2-3x-21

b)

x2+4x-21

c)

x2-4x-21

d)

x2-4x+21

32.
(x+3)(x+11)
a)
x2+30x+14
b)
x2+14x +30
c)
14x+33+x2
d)
3x2+11x+33
33.
Solve for x:
8x - 10 = -34
a)
4
b)
3
c)
-3
d)
-24
34.
Solve for p
a)
3
b)
48
c)
16
d)
12
35.
Solve:
a)
x = 24
b)
x = 12
c)
x = 17.5
d)
x = 19.5