BECE 2016 Mathematics (Maths) Past Question Paper One

year subject paper

Which of the following is a finite set?

A: {2, 4, 6, 8, …}
B: {1, 2, 3, 4, …}
C: {…, 2, 3, 5, 7}
D: {3, 6, 9, 12}

Given that M = {a, b, c}, find the number of subsets of M

A: 3
B: 4
C: 6
D: 8

If P = {2, 3, 4, 6, 8} and Q = {1, 2, 3, 4}, find P∩Q

A: {2, 3, 4}
B: {7, 9, 10}
C: {2, 3, 4, 6, 8}
D: {1, 2, 3, 4, 6, 8}

A boy bought 3 pairs of socks at GHc 17.50 per a pair and paid with two GHc 50.00 notes. How much change was he given?

A: GHc 27.50
B: GHc 37.50
C: GHc 47.50
D: GHc 48.50

Find the least Common Multiple (LCM) of the numbers 5, 10 and 12

A: $2\times3^{}\times5$
B: $2\times3^{2}\times5$
C: $2^{2}\times3^{}\times5^{}$
D: $2^{2}\times3^{2}\times5^{2}$

Correct 48,947.2547 to the nearest hundred.

A: 490
B: 48,900
C: 48,950
D: 49,000

Simplify: 16 + 5.6 + 0.681

A: 2.2281
B: 22.281
C: 222.81
D: 2228.1

Evaluate: $4/5-1/3+2/9 \frac{ab}{cd}$

A: $\frac{5}{11}$
B: $\frac{11}{45}$
C: $\frac{31}{45}$
D: $\frac{41}{45}$

Arrange the following integers from the least to the highest – 4, 9, – 10, – 7 and 2.

A: –10, –7, –4, 2, 9
B: –10, 9, –7, –4, 2
C: –4, –7, –10, 2, 9
D: 2, –4, –7, 9, –10

Simplify: (46 × 102) + (102 × 54)

A: 1,020
B: 10,200
C: 102,000
D: 1,020,000

Correct 5178.3426 to two decimal places

A: 5178.00
B: 5178.30
C: 5178.34
D: 5178.35

Find the simple interest on GHc 120,000.00 for 5 months at 12% per annum.

A: GHc 6,000.00
B: GHc 7,200.00
C: GHc 50,000.00
D: GHc 72,000.00

Fifteen boys took 12 hours to weed a plot of land. If nine boys work at the same rate, how long will it take them to weed the plot of land?

A: 6 hours
B: $7\frac{1}{5}$
C: $11\frac{1}{4}$
D: 20 hours

A car cost GHc 12,500.00. A discount of 9% is given for cash payment. Find the cost of the car when payment is made by cash.

A: GHc 10,250.00
B: GHc 11,250.00
C: GHc 11,375.00
D: GHc 13,625.00

Simplify: $5^{2}\times2^{2}\times5^{2}\times2$

A: $2^{2}\times5^{2}$
B: $2^{2}\times5^{4}$
C: $2^{3}\times5^{2}$
D: $2^{3}\times5^{4}$

The table shows the marks of some students in a test

Marks	0	1	2	3	4	5	6	7	8	9	10
Number of students	3	4	5	4	5	4	7	3	4	2	2

Use the information to answer questions 16 and 17 16.

What is the modal mark?

A: 2
B: 5
C: 6
D: 10

How many students failed the test, if the pass mark was 4?

A: 4
B: 6
C: 16
D: 21

What is the probability of obtaining 4, when a fair die is tossed once?

A: $\frac{1}{6}$
B: $\frac{1}{2}$
C: $\frac{2}{3}$
D: $\frac{5}{6}$

Make P the subject of the relation, R= $\frac{P+Q}{2}$

A: P = Q – 2R
B: P = 2R – Q
C: P = 2R + Q
D: P = 2Q + R

Given that t = p²+ 1 , find p when t = 10.

A: 3.0
B: 4.5
C: 11.0
D: 81.0

Simplify: 4(x + 2) – 3(x + 1).

A: x + 5
B: x + 11
C: 7x + 5
D: 7x + 11

When a number is doubled and the result is decreased by 9, the answer is 19. Find the number.

A: 5
B: 7
C: 14
D: 16

Solve the inequality $2x +107/2 x-5$

A: x10
B: x10
C: $x\leq40$
D: $x\geq40$

Find the image of 5, under the mapping x→4x-7

A: 3
B: 13
C: 20
D: 27

An angle which is greater than 180° but less than 360° is

A: a right angle
B: an acute angle
C: an obtuse angle
D: a reflex angle

How many lines of symmetry has a rectangle?

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

The perimeter of an isosceles triangle is 45 cm. Find the length of the third side, if each of the equal sides is 14 cm long.

A: 11 cm
B: 14 cm
C: 17 cm
D: 31 cm

Find the area of a circle whose diameter is 7cm. [Take π = $\frac{22}{7}$ ]

A: 11 cm2
B: $38 \frac{1}{2}cm^{2}$
C: $44 \frac{1}{2}cm^{2}$
D: 54 cm2

The mean of three numbers is 12. If two of the numbers are 14 and 16, find the third number.

A: 6
B: 12
C: 30
D: 36

The sum of the interior angles of a regular polygon is 540°. Find the number of sides of the polygon.

A: 7
B: 6
C: 5
D: 4

The figure QPR is an equilateral triangle. If angle PRS = (2x – 10°), find the value of x. 2016 triangle pq

A: 55°
B: 65°
C: 85°
D: 95°

The diagonal of a rectangle is 10 cm long. If the length of the rectangle is 8 cm, find its breadth.

A: 2 cm
B: 3 cm
C: 5 cm
D: 6 cm

In an enlargement,XY $\rightarrow X_{1}Y_{1}. If |XY|=||XY|=24cm and |X_{1}Y_{1}|= 8cm$ , calculate the scale factor of the enlargement.

A: $\frac{1}{32}$
B: $\frac{1}{24}$
C: $\frac{1}{8}$
D: $\frac{1}{3}$

Study the triangle of odd numbers and use it to answer Questions 34 and 35
13 b c 19 7 9 a 3 5 1 34.

Evaluate: 13 + b + c + 19.

A: 62
B: 64
C: 74
D: 76

Evaluate: a + b + c

A: 24
B: 29
C: 36
D: 43

Simplify: $\left(\begin{array}{c}-3\\ 5\end{array}\right)+\left(\begin{array}{c}2\\ 7\end{array}\right)$

A: $\left(\begin{array}{c}-1\\ 2\end{array}\right)$
B: $\left(\begin{array}{c}-5\\ 12\end{array}\right)$
C: $\left(\begin{array}{c}-1\\ -2\end{array}\right)$
D: $\left(\begin{array}{c}-5\\ -12\end{array}\right)$

The bearing of X from Y is 196°. What is the bearing of Y from X?

A: 016°
B: 074°
C: 106°
D: 244°

If a = – 4 and b = 3, evaluate $\frac{3a+2b}{ab}$

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

The point P (– 3, 7) is reflected in the x-axis. Find its image.

A: (–3, –7)
B: (–3, 7)
C: (–7, 3)
D: (3, –7)

The instrument used to measure the angle between two lines that meet at a point is known as a

A: pair of compasses
B: set-square
C: protractor
D: pair of dividers

End Of Paper

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