BECE 2014 Mathematics Past Questions and Answers
The BECE 2014 Mathematics paper has 40 objective and 6 theory questions. Here are sample objective questions with the correct answers and explanations. Sit the full paper with the real time limit on ePrep.
Sample questions with answers
1. If set N is a subset of set M, then
- A. sets M and N have the same number of elements.
- B. some members of set N can be found in set M
- C. no member of set N is in set M.
- D. all members of set N are in set M.
Answer: D. all members of set N are in set M.
All members of a subset are found in the main set.
All members of a subset are found in the main set.
2. The Venn diagram shows the number of pupils who offer Mathematics (M) and/or English (E) in a class.
Use this information to answer the question below.
How many pupils offer Mathematics?
Use this information to answer the question below.
How many pupils offer Mathematics?
- A. 10
- B. 18
- C. 25
- D. 28
Answer: C. 25
Mathematics is the region in M.
Number of pupils who offer Mathematics = 18 + 7 = 25
Mathematics is the region in M.
Number of pupils who offer Mathematics = 18 + 7 = 25
3. The Venn diagram shows the number of pupils who offer Mathematics (M) and/or English (E) in a class.
Use this information to answer the question below.
How many pupils offer only one subject?
Use this information to answer the question below.
How many pupils offer only one subject?
- A. 3
- B. 7
- C. 18
- D. 21
Answer: D. 21
Only one subject is the region outside the intersection (7)
Only one subject = 18 + 3 = 21
Only one subject is the region outside the intersection (7)
Only one subject = 18 + 3 = 21
4. Simplify: 12 - 7 - (-5).
- A. -10
- B. -2
- C. 0
- D. 10
Answer: D. 10
-- = + or -(-) = + or - x - = +
12 - 7 - (-5) = 12 - 7 + 5 = 10
-- = + or -(-) = + or - x - = +
12 - 7 - (-5) = 12 - 7 + 5 = 10
5. Express 72 as a product of its prime factors.
- A. 2 x 3$^{3}$
- B. 2$^{2}$ x 3$^{2}$
- C. 2$^{3}$ x 3
- D. 2$^{3}$ x 3$^{2}$
Answer: D. 2$^{3}$ x 3$^{2}$
Prime factors of 72
$\begin{matrix}2 & 72 \\ 2 & 36 \\ 2 & 18 \\ 3 & 9 \\ 3 & 3 \\ & 1\end{matrix}$
Prime factors of 72 = 2 x 2 x 2 x 3 x 3 = 2$^{3}$ x 3$^{2}$
Prime factors of 72
$\begin{matrix}2 & 72 \\ 2 & 36 \\ 2 & 18 \\ 3 & 9 \\ 3 & 3 \\ & 1\end{matrix}$
Prime factors of 72 = 2 x 2 x 2 x 3 x 3 = 2$^{3}$ x 3$^{2}$
6. Find the smallest number which is divisible by 16 and 20?
- A. 40
- B. 80
- C. 120
- D. 160
Answer and explanation: practise this paper on ePrep.
7. Convert 243$_{five}$ to a base ten numeral.
- A. 40
- B. 43
- C. 45
- D. 73
Answer and explanation: practise this paper on ePrep.
8. A pineapple which was bought for GH₵1.00 was sold at GH₵1.30. Calculate the profit percent.
- A. 10%
- B. 20%
- C. 23%
- D. 30%
Answer and explanation: practise this paper on ePrep.
9. Simplify 35*x*$^{5}$y$^{3}$ ÷ 7*xy*$^{2}$
- A. 5*x*$^{4}$y
- B. 5*x*$^{4}$y$^{5}$
- C. 5*x*$^{6}$y
- D. 5*x*$^{6}$y$^{5}$
Answer and explanation: practise this paper on ePrep.
10. Two bells P and Q ring at intervals of 3 hours and 4 hours, respectively. After how many hours will the two bells first ring simultaneously (at the same time)?
- A. 6 hours
- B. 8 hours
- C. 12 hours
- D. 24 hours
Answer and explanation: practise this paper on ePrep.
Answer all 46 questions of the BECE 2014 Mathematics paper
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