Free Printable Y7 Final Maths Revision

1.

Simplify

$\frac{18a}{3ab^2}$

a)

6ab

b)

6b²

c)

$\frac{6}{b^2}$

d)

$\frac{6}{b}$

2.

2ab × 3ac =

a)

6a²bc

b)

5abc

c)

6abc

d)

5a²bc

3.

SImplify

3a - 4ab + 2b + 2a + 6ab - 2b

a)

5a + 2ab

b)

5a + 2ab - 4b

c)

a + 10ab

d)

a + 10ab - 4b

4.

Expand

-2(7 - 2y)

a)

-14 - 4y

b)

-14 + 4y

c)

2y - 7

d)

2y + 14

5.

Simplify

6x - (8y + 3x)

a)

3x - 8y

b)

9x - 8y

c)

3x + 8y

d)

9x + 8y

6.

$\frac{1}{2}p-\frac{1}{4}p=$

a)

0

b)

$-\frac{1}{2}p$

c)

$\frac{1}{4}p$

d)

$\frac{1}{8}p$

7.

Simplify

5(3 - x) + 3(x - 2)

a)

8x + 21

b)

21 - 2x

c)

8x - 9

d)

9 - 2x

8.

$2\left(\frac{1}{2}a-\frac{1}{4}b\right)=$

a)

$\frac{1}{2}a-\frac{1}{4}b$

b)

$a-\frac{1}{2}b$

c)

$\frac{1}{4}a-\frac{1}{8}b$

d)

$\frac{1}{2}ab$

9.

Expand

3(4x - 5y)

a)

34x - 35y

b)

4x - 5y

c)

12x - 15y

d)

27xy

10.

Expand and simplify

6p - 4(2p - r)

a)

2p - 4r

b)

6p - 4r

c)

-p + 2r

d)

-2p + 4r

11.

If a = 3 and b = -4, find

3b² - 4a

a)

36

b)

24

c)

0

d)

-60

12.

Given that x = 3 and y = -4, find the value of

2x - 3y

a)

-6

b)

-11

c)

18

d)

57

13.

Given that

4q + r = p - q,

express q in terms of p and r.

a)

$q=\frac{p+r}{3}$

b)

$q=\frac{p-r}{5}$

c)

$q=5\left(p-r\right)$

d)

$q=3\left(p+r\right)$

14.

Make q the subject of formula.

p = q² - 4

a)

$q=\sqrt[]{p+4}$

b)

$q=\sqrt[]{p-4}$

c)

$q=\left(p+4\right)^2$

d)

$q=\left(p-4\right)^2$

15.

Given that $p=\frac{2}{3}qr$ ,

find p if q = 36 and r = 5.

a)

90

b)

$357\frac{1}{3}$

c)

$243\frac{1}{3}$

d)

120

16.

Mary buys x apples and some oranges.

She buys two more oranges than apples.

Write down, in terms of x, an expression for the number of oranges that she buys.

a)

x

b)

2 + x

c)

x - 2

d)

2x

17.

Mary buys x apples and some oranges.

She buys two more oranges than apples.

Each apple costs p cents and each orange costs q cents.

Write down an expression in terms of x, p and q, for the total cost of the fruit that Mary buys.

a)

px + q(x + 2)

cents

b)

p + q

cents

c)

px + qx

cents

d)

p(x + 2) + qx

cents

18.

Which of the following gives 3a³?

a)

$\sqrt[3]{27a^6}$

b)

$6a^5\div2a^3\times a$

c)

$\frac{15a^6}{5a^2}$

d)

$9a\times\left(2a\right)^2\div12a$

19.

Express $\frac{x}{3}+\frac{2x}{5}$ as a single fraction

a)

$\frac{3x}{8}$

b)

$\frac{11x}{15}$

c)

$\frac{7x}{8}$

d)

$\frac{7x}{15}$

20.

Solve 2x + 4 = 3

a)

x = -0.5

b)

x = 0.5

c)

x = 3.5

d)

x = -3.5

21.

Solve 5 - 3y = 1

a)

y = -2

b)

y = 2

c)

$y=-1\frac{1}{3}$

d)

$y=1\frac{1}{3}$

22.

Which of the following pairs of terms are like terms?

a)

3h and 3k

b)

$\frac{w}{2}$ and $\frac{w}{5}$

c)

-12s and 12sr

d)

$\frac{1}{2}g$ and 2h

23.

How many terms are there in the expression

8r - 3 + (-s)?

a)

2

b)

3

c)

4

d)

5

24.

$\frac{\left(-3x\right)\times\left(-2y\right)}{-8}=$

a)

6xy

b)

$\frac{3}{8}xy$

c)

3xy

d)

$-\frac{3}{4}xy$

25.

Expand

$\frac{3}{4}\left(12p-16q\right)$

a)

12p - 16q

b)

9p - 12q

c)

16q - 9p

d)

-9p - 16q

26.

Salleh bought 4 packets of sweets.

Each packet contained $\frac{3x}{5}$ sweets.

He then divided the sweets equally among his 6 brothers.

How many sweets did each of his brothers get?

a)

$\frac{x}{5}$

b)

$\frac{12x}{5}$

c)

$\frac{18x}{5}$

d)

$\frac{2x}{5}$

27.

If p + 9 = 15, hence

a)

p + 9 - 9 = 15 - 9

b)

p + 9 - 9 = 15 + 9

c)

p + 15 = 9

d)

p - 15 = 9

28.

Solve 4x - 1 = 2x + 3

a)

x = 2

b)

$x=\frac{1}{3}$

c)

$x=\frac{2}{3}$

d)

x = 1

29.

Given that

4(y - 1) + 3 = 11,

y =

a)

2

b)

2.25

c)

3

d)

4.5

30.

Simplify

3a + 6b - 2a - 4b

a)

5a - 10b

b)

a + 2b

c)

a - 2b

d)

5a + 10b

Y7 Final Maths Revision

Total questions: 30

Worksheet time: 1hrs 15mins

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