BECE 1992 Mathematics Past Questions and Answers
The BECE 1992 Mathematics paper has 40 objective and 5 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. Find the set of prime factors of 12.
- A. {3}
- B. {2, 3}
- C. {3, 4}
- D. {2, 6}
Answer: B. {2, 3}
A factor of a number is a number that divides the given number evenly or exactly, leaving no remainder.
Prime numbers are numbers with only two factors (1 and itself). Thus only 1 and the number itself can divide the number without a remainder.
Note: 1 is not a prime number.
A factor of a number is a number that divides the given number evenly or exactly, leaving no remainder.
Prime numbers are numbers with only two factors (1 and itself). Thus only 1 and the number itself can divide the number without a remainder.
Note: 1 is not a prime number.
2. If P = {7, 11, 13} and Q = {9, 11, 13}. Find P U Q.
- A. {7}
- B. {9}
- C. {7, 9}
- D. {7, 9, 11}
- E. {7, 9, 11, 13}
Answer: E. {7, 9, 11, 13}
Union (∪) is simply listing each of the elements from both sets. If an element appeared in both sets, it is listed only once.
Union (∪) is simply listing each of the elements from both sets. If an element appeared in both sets, it is listed only once.
3. In the diagram, set Q has 30 members and set T has 25 members. Q ∩ T has 10 members.
Find the number of members of Q U T
Find the number of members of Q U T
- A. 35
- B. 45
- C. 55
- D. 65
Answer: B. 45
Q U T is the region of the two circles
n(Q U T) = 20 + 10 + 15 = 45
Q U T is the region of the two circles
n(Q U T) = 20 + 10 + 15 = 45
4. Find the value of $\sqrt{6\frac{1}{4}}$
- A. 5.0
- B. 4.9
- C. 2.5
- D. 2.4
Answer: C. 2.5
Change the mixed fraction to improper fraction.
$\sqrt{6\frac{1}{4}}$ = $\sqrt{6\frac{1}{4}}$
6$\frac{1}{4}$ = $\frac{6 x 4 + 1}{4}$ = $\frac{24 + 1}{4}$ = $\frac{25}{4}$
$\sqrt{6\frac{1}{4}}$ = $\sqrt{\frac{25}{4}}$
From the law of indices,
${(\frac{a}{b})}^{c}$ = $\frac{{a}^{c}}{{b}^{c}}$
$\sqrt{\frac{a}{b}}$ = $\frac{\sqrt{a}}{\sqrt{b}}$
$\sqrt{6\frac{1}{4}}$ = $\frac{\sqrt{25}}{\sqrt{4}}$
Square Root
$\sqrt{{a}^{2}}$ = a
25 = 5 x 5 = 5$^{2}$
4 = 2 x 2 = 2$^{2}$
$\sqrt{6\frac{1}{4}}$ = $\frac{\sqrt{{5}^{2}}}{\sqrt{{2}^{2}}}$
$\sqrt{6\frac{1}{4}}$ = $\frac{5}{2}$
$\sqrt{6\frac{1}{4}}$ = 2.5
Change the mixed fraction to improper fraction.
$\sqrt{6\frac{1}{4}}$ = $\sqrt{6\frac{1}{4}}$
6$\frac{1}{4}$ = $\frac{6 x 4 + 1}{4}$ = $\frac{24 + 1}{4}$ = $\frac{25}{4}$
$\sqrt{6\frac{1}{4}}$ = $\sqrt{\frac{25}{4}}$
From the law of indices,
${(\frac{a}{b})}^{c}$ = $\frac{{a}^{c}}{{b}^{c}}$
$\sqrt{\frac{a}{b}}$ = $\frac{\sqrt{a}}{\sqrt{b}}$
$\sqrt{6\frac{1}{4}}$ = $\frac{\sqrt{25}}{\sqrt{4}}$
Square Root
$\sqrt{{a}^{2}}$ = a
25 = 5 x 5 = 5$^{2}$
4 = 2 x 2 = 2$^{2}$
$\sqrt{6\frac{1}{4}}$ = $\frac{\sqrt{{5}^{2}}}{\sqrt{{2}^{2}}}$
$\sqrt{6\frac{1}{4}}$ = $\frac{5}{2}$
$\sqrt{6\frac{1}{4}}$ = 2.5
5. Convert 39$_{ten}$ to a base five numeral.
- A. 100111
- B. 1110
- C. 234
- D. 124
Answer: D. 124
39 base 10 to base 5
$\begin{matrix} & 39 \\ 5 & 7 r 4 \\ 5 & 1 r 2 \\ 5 & 0 r 1\end{matrix}$
You list the remainders from the bottom to the top.
39$_{ten}$ = 124$_{five}$
39 base 10 to base 5
$\begin{matrix} & 39 \\ 5 & 7 r 4 \\ 5 & 1 r 2 \\ 5 & 0 r 1\end{matrix}$
You list the remainders from the bottom to the top.
39$_{ten}$ = 124$_{five}$
6. Find the least whole number which must be added to 207 to make it divisible by 17
- A. 0
- B. 3
- C. 13
- D. 14
Answer and explanation: practise this paper on ePrep.
7. Simplify 2 x (3$\frac{1}{3}$ + 1$\frac{1}{6}$)
- A. 2$\frac{1}{3}$
- B. 4$\frac{1}{4}$
- C. 6$\frac{2}{3}$
- D. 8
- E. 9
Answer and explanation: practise this paper on ePrep.
8. If 8.51 ÷ 2.3 = 3.7, find the value of 85.1 ÷ 2.3
- A. 0.037
- B. 0.37
- C. 3.7
- D. 37
Answer and explanation: practise this paper on ePrep.
9. Express 0.625 as a fraction in its lowest term.
- A. $\frac{7}{8}$
- B. $\frac{3}{4}$
- C. $\frac{5}{8}$
- D. $\frac{1}{2}$
Answer and explanation: practise this paper on ePrep.
10. An amount of money is shared between Kofi and Ama in the ratio 3 : 5. If Ama received ₵4,650.00, what is Kofi's share?
- A. ₵930.00
- B. ₵1,550.00
- C. ₵1,743.75
- D. ₵2,790.00
Answer and explanation: practise this paper on ePrep.
Answer all 45 questions of the BECE 1992 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