BECE 2012 Mathematics Past Questions and Answers
The BECE 2012 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 P = {2,3,5,7} and Q = {2,4,6,8}, find P∩Q.
- A. {2}
- B. {3}
- C. {4}
- D. {5}
Answer: A. {2}
P = {2,3,5,7} and Q = {2,4,6,8}
Intersection (∩) is the set of elements that can be found in both sets.
Only 2 can be found in both sets P and Q, hence P∩Q = {2}
P = {2,3,5,7} and Q = {2,4,6,8}
Intersection (∩) is the set of elements that can be found in both sets.
Only 2 can be found in both sets P and Q, hence P∩Q = {2}
2. Which of the following numbers is an integer?
- A. -$\frac{5}{4}$
- B. -$\frac{2}{3}$
- C. 0.5
- D. 1
Answer: D. 1
An integer is a whole number (not a fractional number) that can be positive, negative, or zero.
An integer is a whole number (not a fractional number) that can be positive, negative, or zero.
3. Find the Lowest Common Multiple (LCM) of 2$^{2}$ x 3 x 5$^{2}$ and 2$^{3}$ x 3$^{2}$ x 5.
- A. 2$^{2}$ x 3 x 5
- B. 2$^{2}$ x 3$^{2}$ x 5$^{2}$
- C. 2$^{3}$ x 3 x 5
- D. 2$^{3}$ x 3$^{2}$ x 5$^{2}$
Answer: D. 2$^{3}$ x 3$^{2}$ x 5$^{2}$
The Lowest Common Multiple (LCM) is the multiplication of each of the prime factors in their highest powers.
The prime factors are 2, 3 and 5
The highest power for the prime number 2 is 3
The highest power for the prime number 5 is 2
The highest power for the prime number 3 is 2
Lowest Common Multiple (LCM) = 2$^{3}$ x 3$^{2}$ x 5$^{2}$
The Lowest Common Multiple (LCM) is the multiplication of each of the prime factors in their highest powers.
The prime factors are 2, 3 and 5
The highest power for the prime number 2 is 3
The highest power for the prime number 5 is 2
The highest power for the prime number 3 is 2
Lowest Common Multiple (LCM) = 2$^{3}$ x 3$^{2}$ x 5$^{2}$
4. How many diagonals are in a rectangle?
- A. 1
- B. 2
- C. 3
- D. 4
Answer: B. 2
5. Simplify -4(3-5)+10-3(7+4)+30.
- A. -1
- B. 15
- C. 56
- D. 65
Answer: B. 15
3-5 = -2
7+4 = 11
-4(3-5)+10-3(7+4)+30 = -4(-2)+10-3(11)+30
The ones in the bracket multiplies the numbers in front.
-4(3-5)+10-3(7+4)+30 = -4 x -2 +10 -3 x 11 + 30
- x - = +
-4(3-5)+10-3(7+4)+30 = 8 + 10 - 33 + 30
-4(3-5)+10-3(7+4)+30 = 18 - 3
-4(3-5)+10-3(7+4)+30 = 15
3-5 = -2
7+4 = 11
-4(3-5)+10-3(7+4)+30 = -4(-2)+10-3(11)+30
The ones in the bracket multiplies the numbers in front.
-4(3-5)+10-3(7+4)+30 = -4 x -2 +10 -3 x 11 + 30
- x - = +
-4(3-5)+10-3(7+4)+30 = 8 + 10 - 33 + 30
-4(3-5)+10-3(7+4)+30 = 18 - 3
-4(3-5)+10-3(7+4)+30 = 15
6. An iron rod 15 m long is divided into 12 equal parts. How long is each part?
- A. 0.80 m
- B. 1.25 m
- C. 1.50 m
- D. 3.00 m
Answer and explanation: practise this paper on ePrep.
7. Convert 42 to a base two numeral.
- A. 1001010$_{two}$
- B. 1010010$_{two}$
- C. 1010100$_{two}$
- D. 101010$_{two}$
Answer and explanation: practise this paper on ePrep.
8. Simplify $\frac{{5}^{7}x{5}^{4}}{{5}^{2}}$
- A. 5$^{7}$
- B. 5$^{8}$
- C. 5$^{9}$
- D. 5$^{13}$
Answer and explanation: practise this paper on ePrep.
9. A tank contains 400 litres of water. If 100 litres is used, what percentage is left?
- A. 25%
- B. 30%
- C. 40%
- D. 75%
Answer and explanation: practise this paper on ePrep.
10. 
Triangle ABC is a right-angled triangle. Find the length of AC.
Triangle ABC is a right-angled triangle. Find the length of AC.
- A. 1 cm
- B. 5 cm
- C. 7 cm
- D. 12 cm
Answer and explanation: practise this paper on ePrep.
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