BECE 2016 Mathematics Past Questions and Answers
The BECE 2016 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. 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}
Answer: D. {3,6,9,12}
Finite sets are sets having a finite or countable number of elements. It is also known as countable sets as the elements present in them can be counted.
As you can see, its only the set {3,6,9,12} which has countable number of elements, that is 4. The rest are infinite as the set elements number end or have boundaries.
Finite sets are sets having a finite or countable number of elements. It is also known as countable sets as the elements present in them can be counted.
As you can see, its only the set {3,6,9,12} which has countable number of elements, that is 4. The rest are infinite as the set elements number end or have boundaries.
2. Given that M={a,b,c} find the number of subsets of M
- A. 3
- B. 4
- C. 6
- D. 8
Answer: D. 8
Number of subsets = 2$^{n}$, where n = number of elements.
M={a,b,c}
The number of elements in set M is 3
Number of subsets = 2$^{3}$ = 2 x 2 x 2 = 8
Number of subsets = 2$^{n}$, where n = number of elements.
M={a,b,c}
The number of elements in set M is 3
Number of subsets = 2$^{3}$ = 2 x 2 x 2 = 8
3. 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}
Answer: A. {2,3,4}
"∩" means intersection. The set of intersection are elements that can be found in both sets.
2,3 and 4 can be found in both the sets P and Q.
"∩" means intersection. The set of intersection are elements that can be found in both sets.
2,3 and 4 can be found in both the sets P and Q.
4. A boy bought 3 pairs of socks at GH₵17.50 per a pair and paid with two GH₵50.00 notes. How much change was he given?
- A. GH₵27.50
- B. GH₵37.50
- C. GH₵47.50
- D. GH₵48.50
Answer: C. GH₵47.50
Cost for the 3 pairs of socks = 3 x GH₵17.50 = GH₵52.5
The boy paid with two GH₵50.00 notes, hence amount given out is 2 x GH₵50.00 = GH₵100.00
Change = GH₵100.00 - GH₵52.5 = GH₵47.5
Cost for the 3 pairs of socks = 3 x GH₵17.50 = GH₵52.5
The boy paid with two GH₵50.00 notes, hence amount given out is 2 x GH₵50.00 = GH₵100.00
Change = GH₵100.00 - GH₵52.5 = GH₵47.5
5. Find the Least Common Multiple (LCM) of the numbers 5,10 and 12.
- A. 2 x 3 x 5
- B. 2 x 3$^{2}$ x 5
- C. 2$^{2}$ x 3 x 5
- D. 2$^{2}$ x 3$^{2}$ x 5$^{2}$
Answer: C. 2$^{2}$ x 3 x 5
Step 1
Write down the prime factors
5 = 5
10 = 2 x 5
12 = 2 x 2 x 3 = 2$^{2}$ x 3
Step 2
The L.C.M is the product of each of the prime factors in their highest power.
5 = 5
2 = 2$^{2}$
3 = 3
L.C.M of 5,10 and 12 = 2$^{2}$ x 3 x 5
Step 1
Write down the prime factors
5 = 5
10 = 2 x 5
12 = 2 x 2 x 3 = 2$^{2}$ x 3
Step 2
The L.C.M is the product of each of the prime factors in their highest power.
5 = 5
2 = 2$^{2}$
3 = 3
L.C.M of 5,10 and 12 = 2$^{2}$ x 3 x 5
6. Correct 48,947.2547 to the nearest hundred.
- A. 490
- B. 48,900
- C. 48,950
- D. 49,000
Answer and explanation: practise this paper on ePrep.
7. Simplify: 16 + 5.6 + 0.681
- A. 2.2281
- B. 22.281
- C. 222.81
- D. 2228.1
Answer and explanation: practise this paper on ePrep.
8. Evaluate $\frac{4}{5}$ - $\frac{1}{3}$ + $\frac{2}{9}$
- A. $\frac{5}{11}$
- B. $\frac{11}{45}$
- C. $\frac{31}{45}$
- D. $\frac{41}{45}$
Answer and explanation: practise this paper on ePrep.
9. 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
Answer and explanation: practise this paper on ePrep.
10. Simplify: (46 x 102) + (102 x 54)
- A. 1,020
- B. 10,200
- C. 102,000
- D. 1,020,000
Answer and explanation: practise this paper on ePrep.
Answer all 46 questions of the BECE 2016 Mathematics paper
Timed papers like the real exam, instant marking, worked explanations, topic tests and mock exams. Theory answers marked by real teachers. 3 weeks free.
Practise free on ePrep