BECE JHS Mathematics 2005 Past Questions

In the diagram above, A and B are two intersecting sets. How many members are in the set B?

(a) 14 pencils × c450 = c6300;
x erasers × c300 = c6300;
x erasers = c6300/c300; x = 21
He buys 21 erasers costing c300 each with the same amount he uses to buy 14 pencils costing c450 each

(b) Circumference = 44cm; circumference = 2×π×radius; 44 = 2×22/7×radius; 44×7 = 44×radius
Radius = 44×7/44 = 7cm

(c) (2¼ - 1⅝) ÷ 3 7/16 → (9/4 - 13/8) ÷ 55/16 → (18-13/8)×16/55 = 5/8 × 16/55 = 2/11

(d) 5(n+6)/n = 1 → 5(n+6) = n → 5n+30 = n → 5n-n = -30 → 4n = -30 → n = -30/4 = -15/2

Which of the following is not a factor of 18?

(a)x+y = 180; y = 180-x;
when x = 30, y = 180-30 = 150
when x = 60, y = 180-60 = 120
when x = 90, y = 180-90 = 90
when x = 120, y = 180-120 = 60
when x = 150, y = 180-150 = 30
when x = 180, y = 180-180 = 0

(b)xy+3x+6y+18; x(y+3)+6(y+3); (x+6)(y+3)

(c)(3+x)(5-2x) = 3(5-2x)+x(5-2x); 15-6x+5x-2x² 15-x-2x²

Multiply 0.014 by 0.2

(a)i
*insert image*
20-x+x+15-x=30; 35-x = 30; x = 35-30; x = 5;
5 boys play both games.

(ii)
For volleyball only, 15-x = 15-5 = 10 boys

Given that A = {b, c, i} and B = {a, e, f, i}, find A ∩ B.

(4a)i Simple interest = Principal×Rate×Time/100
Simple interest = c2,000,000×2×15/100
= c600,000

ii
Amount = simple interest + principal (money borrowed) = c600,000+ c2,000,000 = c2,600,000

(b)
Profit = 45%; Selling price (SP) = ??; Cost price (CP) = c2,000,000
Profit = SP-CP/CP × 100
45 = (SP-c2,000,000)/c2,000,000 × 100
45×c2,000,000 = (SP-c2,000,000)100
c90,000,000 = 100SP - c2,000,000
100SP = c200,000,000-c90,000,000; 100SP = c110,000,000
SP = c110,000,000/100 = c1,100,000

If a = 64 and b = 22, find a/b.

*insert image*
|AC| = 5cm, |AD| = 9.3cm
Quadrilateral ADBC is a kite

Arrange the following numbers from the highest to the lowest: 2/3, -7, 0.

(a)
*insert image*

(b) modal mark is 8

(c) mean mark = ΣFx/ΣF = 131/20 = 6.55

(d)
Pupils that scored more than 6 marks;
mark 8 = 7; mark 9 = 1; mark 10 = 2
Total = 7+1+2 = 30

(e)
Students with 2 marks are 3
Probability = student with 2 marks/total number of students = 3/20

Simplify 22 × 32 × 23 × 34

In an examination 40% of the students failed. The number of students that passed was
180. How many students failed?

Evaluate ⅓[(5 – 1)–(2 – 7)]

If 6n + 4 = 16, find the value of n.

What is the next term in the following set of numbers:{1, 3, 7, 15, 31, …} ?

Find the mean of the following set of numbers 10, 12, 14 and 16.

Simplify 3a² × 2ab × 4bc

Expand 3(2a + 3b)

Find the area of a circle whose diameter is 28cm. (Take π = 22/7)

In sharing 95 oranges with Dede, Fofo kept 45 of them and shared the rest equally with Dede. How many oranges did Dede get?

If $c={b^2+4r}/{2ar}$, find c when b = 3, r = 4 and a = 5.

A woman bought a sewing machine for ¢800,000.00 and sold it for ¢920,000.00. Find the percentage profit

What is the rule for the following mapping?
${\table x,0,1,2,3,4;↓,↓,↓,↓,↓;y,5,9,13,17,21}$

Find the volume of a cuboid of sides 15m by 12m by 3m.

A bag contains 4 blue and 8 red balls. What is the probability of picking a blue ball at random from the bag?

Find the size of the angle marked y in the diagram.

An equilateral triangle has side 16cm. A square has the same perimeter as the equilateral triangle. What is the area of the square?

Kofi deposited ¢500,000.00 with a bank for 2 years at a rate of 10% per annum. Find the simple interest

Make T the subject of the relation $l^2={{4π^2T}/{g}}$

Evaluate ${0.54×0.7}/{9}$

Eric and Ebo are to share an amount of ¢800,000.00 in the ratio 5:3 respectively. What will be Ebo’s share?

How many faces has a rectangular pyramid?

The perimeter of a rectangle is 24cm. If the breadth of the rectangle is 4 cm, find the area of the rectangle.

Factorize 4ab² – 20ba².

Solve the equation ⅔(x-3)=⅚(x+6)

Kofi had 100 mangoes and sold 80 of them. What is the percentage of mangoes left?

Find the medianof the following marks:2, 4, 10, 3, 6, 12.

```In a class of 20 pupils, 8 pupils read Mathematics, 13 read English and 3 read both Mathematics and English.
Use this information to answer Questions 34 and 35```
How many pupils read English only?

```In a class of 20 pupils, 8 pupils read Mathematics, 13 read English and 3 read both Mathematics and English.
Use this information to answer Questions 34 and 35```
How many pupils do not read either Mathematics or English?

Calculate 82.5 ÷ 0.25, expressing the answer in the standard form

The price of a gas cooker costing ¢450,000.00 was increased by 10%. Find its new price.

What is the number of all possible outcomes of tossing a die?

In the diagram, QRS is a triangle. Angle QRS = 50° and angle RST = 120°. Find angle RQS.

If r = (<sup>-2</sup><sub>3</sub>) and s = (<sup>-4</sup><sub>-1</sub>), find r+2s