BECE Mathematics Past Questions 2015
32 objective questions · Paper 1 · Ghana BECE
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Question 1
The hypotenuse and a side of a right-angled triangle are 13 cm and 5 cm respectively. Find the length of the third side.
- A. 8 cm
- B. 9 cm
- C. 12 cm
- D. 17 cm
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Question 2
A hall which is 20 m long is represented on a diagram as 10 cm long. What is the scale of the diagram?
- A. 1:200
- B. 1:250
- C. 1:400
- D. 1:500
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Question 3
What is the place value of 7 in 24.376 ?
- A. Unit
- B. Ten
- C. Tenth
- D. Hundredth
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Question 4
If M = {multiples of 4 between 10 and 25} and N = {even numbers between 11 and 23}, find M ∪ N
- A. {12, 16, 20}
- B. {14, 18, 22}
- C. {12, 14, 16, 18, 22}
- D. {12, 14, 16, 18, 20, 22, 24}
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Question 5
Given that set P = {m, n, o, p}, find the number of subsets of P.
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Question 6
List the members of the set Q = {prime factors of 30}
- A. {2, 3, 5}
- B. {2, 6, 10}
- C. {3, 5, 15}
- D. {3, 6, 15}
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Question 7
Find the rule for the following mapping
- A. y→x+2
- B. y→2x
- C. y→x2
- D. y→2x+2
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Question 8
Express 1205 as a number in base 10
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Question 9
If p × q × r = 1197, and p = 19, q = 3, find r
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Question 10
How many integers are within the interval – 5 < x < 7 ?
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Question 11
Divide 1.612 by 0.4
- A. 4.3
- B. 4.03
- C. 0.403
- D. 0.43
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Question 12
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. 14 days
- B. 12 days
- C. 10 days
- D. 8 days
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Question 13
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.
- A. GHC 840.00
- B. GHC 860.00
- C. GHC 900.00
- D. GHC 960.00
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Question 14
John sold a car for GHC 60,000.00 and made a profit of 20%. What is the cost price of the car?
- A. GHC 48,000.00
- B. GHC 50,000.00
- C. GHC 72,000.00
- D. GHC132,000.00
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Question 15
What is the value of x if 10x = 1000?
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Question 16
Express 625.13 in standard form
- A. 6.2513 × 10-2
- B. 6.2513 × 10-4
- C. 6.2513 × 102
- D. 6.2513 × 104
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Question 17
Find the median of the numbers 17, 12, 15, 16, 8, 18, 13 and 14
- A. 8
- B. 12
- C. 14.5
- D. 15.5
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Question 18
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 ?
- A. Expand (2x + y) (2x - y)
- B. 2x2 – y2
- C. 4x2 – y2
- D. 2x2 + 4xy – y2
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Question 19
4x2 + 4xy – y2
- A. Find the value of n, if 25.003 = (2 × 10) + (5 × 1) + (3 × n)
- B. 0.001
- C. 0.011
- D. 0.01
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Question 20
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.
- A. GHC 500.00
- B. GHC 600.00
- C. GHC 800.00
- D. GHC 1,000.00
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Question 21
Find the value of m, if 4(m + 4) = – 8.
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Question 22
How many vertices has a cuboid?
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Question 23
The circumference of a circle is 440 m. Find the area of the circle. [Take π = ]
- A. 14,400 m2
- B. 15,400 m2
- C. 16,400 m2
- D. 18,000 m2
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Question 24
What name is given to a triangle which has all its sides equal?
- A. Isosceles triangle
- B. Scalene triangle
- C. Equilateral triangle
- D. Right-angle triangle
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Question 25
At eight o’clock, which of the following is the angle between the hour and the minute hands of the clock?
- A. 150°
- B. 120°
- C. 90°
- D. 60°
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Question 26
A rectangular field 50 m wide and y m long requires 260 m of fencing. Find y.
- A. 15 m
- B. 40 m
- C. 80 m
- D. 105 m
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Question 27
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’?
- A. Bisector of an angle
- B. Perpendicular bisector
- C. Circle
- D. Two parallel lines
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Question 28
The point K (1, 5) is rotated through 90° anti-clockwise about the origin. Find the coordinates of the image of K.
- A. (5, -1)
- B. (-5, 1)
- C. (-1, 5)
- D. (1, -5)
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Question 29
Kwame is facing west. Through how many degrees should he turn anti-clockwise to face north?
- A. 90°
- B. 180°
- C. 270°
- D. 360°
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Question 30
Given that vectors u = and v = , find 2v – u
- A. What is the name of the figure above?
- B. Cuboid
- C. Kite
- D. Triangle
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Question 31
Find the missing number in the sequence below:
- A. 11, 16, 22, 29, __, 46, 56
- B. 30
- C. 36
- D. 37
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Question 32
Find the Highest Common Factor of 24, 42 and 72
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