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Mathematics2011

BECE · 38 questions · Answers included

38 questions

1

Which of the following is the set of prime factors of 12?

2

Expand 3 a ( a – 4 b )

3

Express 5 as a percentage of 4.

4

Express 2700 as a product of prime numbers.

5

The ratio of mangoes to oranges in a basket is 3:2. If there are 36 mangoes, how many oranges are in the basket?

6

Express 0.125 as a fraction in its lowest form.

7

Convert 222 five to a number in base ten.

8

If A = {18, 19, 20} and B = {15, 16, 17}, find A ∩ B .

9

Simplify 3 9 ÷ 3 3

10

An article which costs GH¢ 25.00 was sold for GH¢ 35.00. Find the percentage profit made.

11

Factorize completely b 2 + fb – mb – fm .

12

Simplify: -13 – (-3) + (-10).

13

Find the HCF of 3 3 × 5 2 and 3 2 × 5 4 .

14

State the rule for the mapping

15

Solve the inequality x - 1 3 ≥ 2 3 - x .

16

Find the area of a square, if its perimeter is 28 cm.

17

Simplify: 1 3 ( 1 2 - 1 3 ) - 1 3 ( 1 3 - 1 2 )

18

Make n the subject of the relation θ = 180 - 360 n

19

If R = h 2 + d 2 8h , find R when d = 8 and h = 6.

20

Eight copies of a book cost GH₵ 16.00. Find the cost of 5 copies.

21

Solve the equation 1 5 (2 + y ) = 1 2 ( y -1).

22

The gradient of the straight line that passes through points A (3,2) and B (4,8) is

23

A car is travelling at 60 km per hour. How far does it travel in 2 1 2 hours?

24

In the following diagram RS and WV are parallel lines. The value of the angle marked α is

25

Given that a = ( 5 2n ) and b = ( 2n -1 6 ) .

26

Find the volume of a cube of side 5 cm.

27

In the diagram below, AB and CD are two intersecting straight lines. Find the value of the angle marked y .

28

Kwame and Ama shared an amount of money in the ratio 5:4 respectively. If Kwame had GH₵ 9.00, how much did they share?

30

If r = ( 2 -5 ) and s = ( -2 5 ) , calculate 2 r - 3 s .

31

There are 10 red and 15 green balls in a bag. Find the probability of selecting at random a red ball from the bag.

32

The table below gives the distribution of ages of students in a class.

33

The table below gives the distribution of ages of students in a class.

34

The table below gives the distribution of ages of students in a class.

35

A length of a ribbon is 16.8 m long. How many ribbons 0.36 m long can be cut from it?

36

A refrigerator was sold for GH₵ 200.00 at a loss of 10%. Find the cost price.

38

What is the value of 7 in the number 832713?

39

Write 3560 in standard form.

40

Correct 0.02751 to three decimal places.