BECE JHS Mathematics 2015 Past Questions

1. List the members of the set Q = {prime factors of 30}

(a) Find the difference between the product of 2.5 and 7.5 and the sum of 2.75 and 9.55.

(b) Solve ${{3x+2}/{3}}-{{3-x}/{8}}={1}/{6}$

(c) A container is 24 m long, 9 m wide and 8 m high. How many books can it hold if each book is 20 cm long, 16 cm wide and 6 cm thick.

Given that set P = {m, n, o, p}, find the number of subsets of P.

(a) In a test consisting of 90 questions, Ama answered 75% of the first 40 questions correctly. If she had to get a score of 80% in the test,
(i) how many questions did she answer correctly out of the first 40 questions?
(ii) how many questions should she answer correctly out of the 90 questions ?
(iii) what percentage of the remaining 50 questions should she answer correctly in order to get the 80%?

(b) Three interior angles of a pentagon are 100°, 120° and 108°. Find the size of each of the remaining two interior angles, if one of them is three times the other.

If M = {multiples of 4 between 10 and 25} and N = {even numbers between 11 and 23}, find M ∪ N

What is the place value of 7 in 24.376 ?=

Find the Highest Common Factor of 24, 42 and 72

(a) A cylinder which has a height of 90 cm and diameter 14 cm is closed at both ends.
Find:
(i) its total surface area;
(ii) the volume of the cylinder
[Take π = 22/7]

(b) (i) Using a ruler and a pair of compasses only, construct triangle PQR such that
|PQ| = 8cm, angle PQR = 120° and |QR| = 6 cm.
(ii) Measure:
(α) |PR|;
(β) angle QPR

Express 120₅ as a number in base 10

The table shows the distribution of grades of candidates in an examination.

Grade	1	2	3	4	5	6
Fraquency	2	3	6	5	4	10

(a) Using a graph sheet, draw a bar chart for the distribution

(b) If all candidates who obtained grades above grade 3 were awarded credit, find the probability that a candidate selected at random obtained credit.

(c) Calculate, correct to the nearest whole number, the mean grade of the candidates.

If p × q × r = 1197, and p = 19, q = 3, find r

How many integers are within the interval –5 < x < 7 ?

Divide 1.612 by 0.4

Arrange the following fractions in ascending order: 5/8, 11/20, 7/10

Abena spent 1/5 of her money on sweets, 4/7 on provisions and the rest on gari. What fraction of her money did she spend on gari?

If 5 boys took 14 days to cultivate a piece of land, how long will it take 7 boys working at the same rate to cultivate the land ?

A man invested GHC 800.00 in a bank at a simple interest rate of 5% per annum. Find his total amount in the bank at the end of one year.

John sold a car for GHC 60,000.00 and made a profit of 20%. What is the cost price of the car?

What is the value of x if 10^x = 1000?

Express 625.13 in standard form

Find the median of the numbers 17, 12, 15, 16, 8, 18, 13 and 14

The ages in years of 10 children at a party are 2, 3, 3, 3, 4, 4, 5, 5, 5 and 6. If a child is chosen at random, what is the probability that he / she is not less than 5 years old ?

Expand (2x + y) (2x – y)

Find the value of n, if 25.003 = (2 × 10) + (5 × 1) + (3 × n)

Evaluate (3m)² - 3m², when m = 2.

A wrist watch is priced GHC 2,000.00. A shopkeeper allows a discount of 2% on the cost price. Find the discount on 20 of such wrist watches.

Find the value of m, if 4(m + 4) = – 8.

Find the rule for the following mapping
${\table x,1,2,3,4,5;↓,↓,↓,↓,↓,↓;y,1,4,9,16,25}$

How many vertices has a cuboid?

The circumference of a circle is 440m. Find the area of the circle. [Take π = 22/7]

What name is given to a triangle which has all its sides equal?

At eight o’clock, which of the following is the angle between the hour and the minute hands of the clock?

A rectangular field 50m wide and y m long requires 260 m of fencing. Find y.

Which of the following best describes the statement: ‘The locus of a point which moves so that its distance from two fixed points are always equal’?

The point K (1, 5) is rotated through 90° anti-clockwise about the origin. Find the coordinates of the image of K.

Kwame is facing west. Through how many degrees should he turn anti-clockwise to face north?

Given that vectors u = (^-3₅) and v = (²_-3), find 2v – u

What is the name of the figure above?

```${\table 13,12,17;E,F,10;11,16,G}$
Use the magic square above to answer questions 35 to 37```
Find the value of F

```${\table 13,12,17;E,F,10;11,16,G}$
Use the magic square above to answer questions 35 to 37```
Find the value of E.

```${\table 13,12,17;E,F,10;11,16,G}$
Use the magic square above to answer questions 35 to 37```
Evaluate E + G

The hypotenuse and a side of a right-angled triangle are 13 cm and 5 cm respectively. Find the length of the third side.

Find the missing number in the sequence below:
11, 16, 22, 29, __, 46, 56

A hall which is 20 m long is represented on a diagram as 10 cm long. What is the scale of the diagram?