BECE 2006 Mathematics Past Questions and Answers
The BECE 2006 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 Q = {1, 3, 5, 7, 9, 11, 13, 15} and
R = {1, 2, 3, 5, 6, 7, 10, 11, 12}, find
Q ∩ R
R = {1, 2, 3, 5, 6, 7, 10, 11, 12}, find
Q ∩ R
- A. {1, 3, 5, 7, 11}
- B. {1, 3, 5, 7, 9, 11}
- C. {2, 4, 8, 9, 13, 14}
- D. {1, 2, 3, 5, 6, 7, 9, 10, 11, 12}
Answer: A. {1, 3, 5, 7, 11}
Intersection (∩) are elements that can be found in both sets
Q ∩ R = {1, 3, 5, 7, 11}
Intersection (∩) are elements that can be found in both sets
Q ∩ R = {1, 3, 5, 7, 11}
2. If x is an integer, list the members of the set, {2 ≤ x < 10}.
- A. {3, 4, 5, 6, 7, 8, 9}
- B. {2, 3, 4, 5, 6, 7, 8, 9}
- C. {3, 4, 5, 6, 7, 8, 9, 10}
- D. {2, 3, 4, 5, 6, 7, ,8, 9, 10}
Answer: B. {2, 3, 4, 5, 6, 7, 8, 9}
2 ≤ x < 10 is read as 2 is less or equal to x and x is less than 10.
The or equal to(≤) could be equal to hence the number is also inclusive.
2 ≤ x < 10 = {2, 3, 4, 5, 6, 7, 8, 9}
If you pick any number from the list, you will realize it is either greater than 2 or equal to 2 but less than 10.
2 ≤ x < 10 is read as 2 is less or equal to x and x is less than 10.
The or equal to(≤) could be equal to hence the number is also inclusive.
2 ≤ x < 10 = {2, 3, 4, 5, 6, 7, 8, 9}
If you pick any number from the list, you will realize it is either greater than 2 or equal to 2 but less than 10.
3. Simplify $\frac{4}{3}$x - $\frac{2}{9}$x
- A. $\frac{2}{9}$x
- B. $\frac{2}{3}$x
- C. $\frac{10}{9}$x
- D. $\frac{14}{9}$x
Answer: C. $\frac{10}{9}$x
$\frac{4}{3}$x - $\frac{2}{9}$x = $\frac{4}{3}$x - $\frac{2}{9}$x
$\frac{4}{3}$x - $\frac{2}{9}$x = $\frac{4x x 3 - 2x x 1}{9}$
$\frac{4}{3}$x - $\frac{2}{9}$x = $\frac{12x - 2x}{9}$
$\frac{4}{3}$x - $\frac{2}{9}$x = $\frac{10x}{9}$ = $\frac{10}{9}$x
$\frac{4}{3}$x - $\frac{2}{9}$x = $\frac{4}{3}$x - $\frac{2}{9}$x
$\frac{4}{3}$x - $\frac{2}{9}$x = $\frac{4x x 3 - 2x x 1}{9}$
$\frac{4}{3}$x - $\frac{2}{9}$x = $\frac{12x - 2x}{9}$
$\frac{4}{3}$x - $\frac{2}{9}$x = $\frac{10x}{9}$ = $\frac{10}{9}$x
4. The number of boys in a school is 120. If the ratio of boys to girls is 5 : 7, find the total number of students in the school.
- A. 240
- B. 288
- C. 600
- D. 840
Answer: B. 288
The sum of the ratios represent the total number of students.
Sum of ratios = 5 + 7 = 12
Ratio for boys = 5
If 5 = 120
12 = $\frac{12 x 120}{5}$ = 12 x 24 = 288
Note: 5 divides itself 1 and 120, 24 times.
The sum of the ratios represent the total number of students.
Sum of ratios = 5 + 7 = 12
Ratio for boys = 5
If 5 = 120
12 = $\frac{12 x 120}{5}$ = 12 x 24 = 288
Note: 5 divides itself 1 and 120, 24 times.
5. Find the circumference of a circle with radius 3.5 cm.
[Take π = $\frac{22}{7}$]
[Take π = $\frac{22}{7}$]
- A. 11 cm
- B. 22 cm
- C. 35 cm
- D. 38.5 cm
Answer: B. 22 cm
Circumference of a circle = 2 x π x r
Where r = the radius.
Circumferece = 2 x $\frac{22}{7}$ x 3.5 cm = $\frac{22}{7}$ x 7 cm = 22 cm
Note:
1. 2 x 3.5 = 7
2. The 7s cancel each other
Circumference of a circle = 2 x π x r
Where r = the radius.
Circumferece = 2 x $\frac{22}{7}$ x 3.5 cm = $\frac{22}{7}$ x 7 cm = 22 cm
Note:
1. 2 x 3.5 = 7
2. The 7s cancel each other
6. Which of the following are the prime factors of 12?
- A. {1, 3}
- B. {2, 3}
- C. {2, 4, 6, 12}
- D. {2, 3, 4, 6}
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7. The base of an isosceles triangle is 7cm long. Each of the other two sides is x cm long. What will be the expression for its perimeter?
- A. x + 7
- B. x + 14
- C. 2*x* - 7
- D. 2*x* + 7
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8. Correct 0.003858 to three significant figures
- A. 0.00385
- B. 0.00386
- C. 0.0039
- D. 386
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9. Find the value of a – 3*ab* when a = -2 and b = 3
- A. -20
- B. -16
- C. 16
- D. 20
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10. A boy sold some oranges at three for ₵500.00. If his total sales was ₵100,000.00, how many oranges did he sell?
- A. 300
- B. 400
- C. 500
- D. 600
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Answer all 46 questions of the BECE 2006 Mathematics paper
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