BECE 2012 Mathematics (Maths) Past Question Paper One

year subject paper

If P = {2, 3, 5, 7}and Q = {2, 4, 6, 8}, find P∩Q

A: {2}
B: {3}
C: {4}
D: {5}

Which of the following numbers is an integer?

A: -5/4
B: -2/3
C: 0.5
D: 1

Find the Lowest Common Multiple (LCM) of $2^2\times3 \times5^2 \ and \ 2^3 \times3^2 \times5$

A: $2^2 \times 3 \times5\\$
B: $2^2 \times3^3 \times5^2\\$
C: $2^3 \times3 \times5\\$
D: $2^3 \times3^2 \times5^2\\$

How many diagonals are in a rectangle?

A: 1
B: 2
C: 3
D: 4

Simplify – 4 (3 – 5) + 10 – 3 (7 + 4) + 30

A: – 1
B: 15
C: 56
D: 65

An iron rod 15 m long is divided into 12 equal parts. How long is each part?

A: 0.80 m
B: 1.25 m
C: 1.50 m
D: 3.00 m

Convert 42 to a base two numeral.

A: 1001010₂
B: 1010010₂
C: 1010100₂
D: 101010₂

Simplify ( $\frac{5^7\times\ 5^4}{5^2}$ )

A: 5⁷
B: 5⁸
C: 5⁹
D: 5¹³

A tank contains 400 litres of water. If 100 litres is used, what percentage is left?

A: 25%
B: 30%
C: 40%
D: 75%

Triangle ABC is a right-angled triangle. Find the length of AC.

A: 1 cm
B: 5 cm
C: 7 cm
D: 12 cm

Arrange the following fractions in descending order of magnitude: $\frac{2}{3}\ ,\ \frac{5}{7}\ ,\ \frac{2}{5}\ ,\ \frac{1}{2}$

A: 5/7 ,2/5 ,2/3 ,1/2
B: 5/7 ,2/3 ,1/2 ,2/5
C: 1/2 ,2/5 ,5/7 ,2/3
D: 1/2 ,5/7 ,2/3 ,2/5

Find the image of 3 under the mapping, x → 10 – 2x

A: 4
B: 5
C: 8
D: 16

Simplify $\frac{1}{3}\ +\ \frac{1}{9}\ +\ \frac{1}{27}$

A: $\frac{5}{27}\\$
B: $\frac{7}{27}\\$
C: $\frac{11}{27}\\$
D: $\frac{13}{27}\\$

If 2x = 5(x – 2) + 7, find the value of x

A: $-5\frac{2}{3}\\$
B: -1
C: 1
D: $5\frac{2}{3}$

The table below shows the day and night temperatures of a town during a week
Use it to answer Questions 15 and 16

Week day

Temperatures (°C)

Day

Night

Monday

Tuesday

Wednesday

Thursday

Friday

Saturday

Sunday

Find, correct to one decimal place, the average day temperature for the week

A: 24.4 °C
B: 30.2 °C
C: 31.4 °C
D: 32.2 °C

On which day was the change in temperature the least?

A: Monday
B: Saturday
C: Sunday
D: Tuesday

A box contains 30 identical balls of which 16 are white and the rest yellow. If a girl picks a ball at random from the box, what is the probability that it is a yellow ball?

A: 1/16
B: 7/15
C: 8/15
D: 7/8

Find the truth set of $\frac{1}{4} (x + 3) \le 2x - 1$

A: {x: x ≤ –3}
B: {x: x ≤ –1}
C: {x: x ≥ 1}
D: {x: x ≥ 3}

The perimeter of the figure below is 71 cm. Find the diameter of the semi-circular portion. [Take = π] 2012 semicir

A: 1.0 cm
B: 3.5 cm
C: 7.0 cm
D: 14.0 cm

Simplify $\frac{3x}{4}-\ \frac{x-y}{3}$

A: $\frac{5x-4y}{12}\\$
B: $\frac{13x-4y}{12}\\$
C: $\frac{5x+4y}{12}\\$
D: $\frac{13x+4y}{12}\\$

Kojo is 20% heavier than Afua. If Kojo weighs 6 kg, what is Afua’s weight?

A: 4.8 kg
B: 5.0 kg
C: 6.0 kg
D: 7.2 kg

Find the volume of a cylinder of height 3 cm and radius 2 cm.

A: 6π cm3
B: 12π cm3
C: 18π cm3
D: 24π cm3

Given the points S(5, -2) and T(3, 2), calculate the gradient of the line ST.

A: – 2
B: $-\frac{3}{5}\\$
C: $\frac{1}{2}\\$
D: 2

Kofi invested GH¢ 150,000 at 2.5% per annum simple interest. How long will it take this amount to yield an interest of GH¢11,250.00?

A: 2 years
B: 3 years
C: 4 years
D: 5 years

Express 3.75 as a mixed fraction.

A: $3\frac{1}{5}\\$
B: $3\frac{1}{4}\\$
C: $3\frac{1}{3}\\$
D: $3\frac{3}{4}\\$

A map is drawn to the scale 1:100,000. What distance in kilometres is represented by 5 cm on the map?

A: 0.5 km
B: 5.0 km
C: 50.0 km
D: 500.0 km

Given that r = $\left(\begin{array}{c}-3\\ 4\end{array}\right) and \ \left(\begin{array}{c}1\\ -3\end{array}\right)$ , find r – 2s

A: $\left(\begin{array}{c}-1\\ 1\end{array}\right)\\$
B: $\left(\begin{array}{c}-5\\ 10\end{array}\right)\\$
C: $\left(\begin{array}{c}-2\\ 10\end{array}\right)\\$
D: $\left(\begin{array}{c}-1\\ 10\end{array}\right)$

Esi went to the market and bought 500 g of meat, 850 g of fish and 900 g of eggs. What is the total weight of the items she bought in kilograms?

A: 2.20 kg
B: 2.25 kg
C: 2.35 kg
D: 22.50 kg

A watch gains $1\frac{1}{2}$ minutes per hour. What is the total time gained from 12 noon to 12 midnight in a day?

A: 9 minutes
B: 15 minutes
C: 18 minutes
D: 36 minutes

A printing machine prints 600 books in 3 hours. How many books will the machine print in 5 hours?

A: 360 books
B: 1000 books
C: 1800 books
D: 3000 books

The bearing of Atoru from Busase is 275°. What is the bearing of Busase from Atoru?

A: 180°
B: 175°
C: 095°
D: 075°

In a class of 24 pupils, 10 study French only and 8 study English only. If each pupil studies at least one of the two subjects, how many study English?

A: 12
B: 14
C: 16
D: 18

Convert 84 to a base five numeral.

A: 4130₅
B: 3014₅
C: 314₅
D: 114₅

In the diagrams below, triangle A1B1C1 is an enlargement of triangle ABC. Determine the scale factor.

A: 0.50
B: 0.75
C: 2.00
D: 4.00

Find the least number that must be added to 308 to make it divisible by 19.

A: 4
B: 7
C: 15
D: 18

In a school of 940 pupils, the number of girls exceeds the number of boys by 150. How many girls are there in the school?

A: 620
B: 545
C: 470
D: 395

Which of the following fractions is equivalent to $\frac{3}{5}$ ?

A: $\frac{21}{30}\\$
B: $\frac{12}{20}\\$
C: $\frac{15}{45}\\$
D: $\frac{6}{15}\\$

In the diagram below, line PQ is parallel to RS and UV is a line drawn through PQ and RS
Use the diagram to answer Questions 38 and 39.

Find angle a.

A: 35°
B: 55°
C: 135°
D: 145°

Angle b and angle c are

A: alternate angles
B: vertically opposite angles
C: corresponding angles
D: interior opposite angles

Expand – x(3 – 2x)

A: -2x^2 – 3x\\
B: 2x^2 – 3x\\
C: -2x^2 + 3x\\
D: 2x^2 + 3x\\

End Of Paper

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