BECE Mathematics Past Questions 2020
37 objective questions · Paper 1 · Ghana BECE
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Question 1
P₁(4, −5) is the image of P(x, y) under a translation by the vector (−2, 3). Find the coordinates of P.
- A. (−6, 8)
- B. (−6, −8)
- C. (6, −8)
- D. (6, 8)
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Question 2
Which of the following polygons does NOT have a line of symmetry?
- A. Kite
- B. Isosceles triangle
- C. Trapezium
- D. Rhombus
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Question 3
Solve: 3 − (3x + 4) ≤ −4.
- A. x ≤ 1
- B. x ≥ 1
- C. x ≥ 1⅔
- D. x < 1½
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Question 4
Find the median of: 4, 16, 13, 18, 3, 20, 6, 7, 15, 2, 10, 12.
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Question 5
Find the equation of the line passing through (−3, 5) and (6, 8).
- A. y = x/3
- B. y = x/3 + 6
- C. y = x/3 − 10
- D. y = x/3 + 14
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Question 6
Find the image of point (−2, 3) under a reflection in the y-axis.
- A. (2, −3)
- B. (−3, 2)
- C. (2, 3)
- D. (3, 2)
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Question 7
A labourer worked for 20½ hours at GH₵ 2.50 per hour. Find the total wage earned.
- A. GH₵ 51.00
- B. GH₵ 51.25
- C. GH₵ 512.00
- D. GH₵ 512.25
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Question 8
A car travelled for 8 hours at a speed of 18 km/h. Find the distance covered.
- A. 22.5 km
- B. 135 km
- C. 140 km
- D. 144 km
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Question 9
The cost of 12 notebooks is GH₵ 54.84. Find the cost of one notebook.
- A. GH₵ 5.57
- B. GH₵ 4.67
- C. GH₵ 4.57
- D. GH₵ 3.57
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Question 10
P = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}. A number is selected at random. Find the probability that it is a prime number.
- A. 2/3
- B. 7/12
- C. 1/2
- D. 5/12
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Question 11
A rectangle has sides 10 cm and 6 cm. A square has the same perimeter as this rectangle. Find the area of the square.
- A. 16 cm²
- B. 30 cm²
- C. 60 cm²
- D. 64 cm²
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Question 12
A parallelogram has sides 5.8 m and 8.2 m. Find the perimeter.
- A. 11.0 m
- B. 36.6 m
- C. 28.0 m
- D. 47.6 m
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Question 13
Given N = {x : x is a factor of 18} and M = {x : x is a multiple of 12}, find N ∩ M.
- A. {1, 2, 3, 6}
- B. {1, 2, 3, 6, 12}
- C. {2, 3, 6, 12, 18}
- D. { } (empty set)
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Question 14
Express 4382.93 in standard form.
- A. 438293 × 10⁴
- B. 43.8293 × 10²
- C. 4.38293 × 10⁴
- D. 4.38293 × 10³
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Question 15
Which property is used in a(x + y) = ax + ay?
- A. Associative
- B. Commutative
- C. Distributive
- D. Initiative
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Question 16
Subtract (7x − 3) from (5 − 3x).
- A. 10x − 8
- B. 4x − 8
- C. 8 − 10x
- D. 2 − 10x
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Question 17
Simplify (2ab²)² × 3a³b.
- A. 6a⁴b⁵
- B. 12a³b⁴
- C. 12a⁶b⁴
- D. 12a⁵b⁵
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Question 18
A radio was sold for GH₵ 72.00, making a profit of 8%. Find the cost price.
- A. GH₵ 66.00
- B. GH₵ 67.00
- C. GH₵ 77.00
- D. GH₵ 78.00
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Question 19
Vera is 11 years old and her brother is 9 years old. They shared 60 oranges in the ratio of their ages. How many more oranges did Vera receive than her brother?
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Question 20
If (x − 3)² = 16, find the positive value of x.
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Question 21
What fraction of 3 weeks is 18 days?
- A. 1/6
- B. 6/7
- C. 1/7
- D. 9/11
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Question 22
If w/3 = 3(w − 1) − 1, find the value of w.
- A. 3/2
- B. 5/4
- C. 3/5
- D. 1/2
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Question 23
A principal earns a simple interest of GH₵ 240 in 4 years at 20% per annum. Calculate the principal.
- A. GH₵ 300
- B. GH₵ 450
- C. GH₵ 480
- D. GH₵ 1,200
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Question 24
480 pupils are boys, representing 80% of the total school enrolment. Find the total number of pupils.
- A. 384
- B. 540
- C. 600
- D. 864
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Question 25
Add: 2.4 + 0.042 + 1.12 + 0.342.
- A. 2.184
- B. 3.904
- C. 4.282
- D. 6.200
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Question 26
Solve: 4ˣ = 32.
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Question 27
There are 15 females in a debating club. If the ratio of females to males is 3:2, find the total membership of the club.
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Question 28
If 2y = 1 − 3x² + 4x, find the value of y when x = −1.
- A. −3
- B. −1/2
- C. 1/2
- D. 3
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Question 29
Expand and simplify: (a − 2)(2a + 3).
- A. a² − a + 6
- B. 2a² + 7a − 6
- C. 2a² − a − 6
- D. 2a² − 12a + 6
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Question 30
Simplify 2² × 2⁷ ÷ 2⁴.
- A. 2⁻¹
- B. 2⁵
- C. 2¹¹
- D. 2¹³
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Question 31
If P = {7, 11, 13} and Q = {9, 11, 13}, find P ∪ Q.
- A. {7, 9, 11, 13}
- B. {7, 9}
- C. {11, 13}
- D. {9, 13}
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Question 32
What is the rule for the mapping where x: 0, 1, 2, 3 maps to y: 1, 2, 5, 10?
- A. x → 3x² - 1
- B. x → 5x² - 3
- C. x → x² + 1
- D. x → 4x - 2
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Question 33
A right-angled triangle has sides 5 cm, t cm, and 13 cm where 13 cm is the hypotenuse. Find the value of t.
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Question 34
A trader sold a radio set for GH₵ 72.00 making a profit of 8%. Find the cost price of the radio set (to the nearest cedi).
- A. GH₵ 66.00
- B. GH₵ 67.00
- C. GH₵ 77.00
- D. GH₵ 78.00
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Question 35
A car used 8 hours to travel from town A to town B at a speed of 18 km/h. Find the distance travelled.
- A. 22.5 km
- B. 135 km
- C. 140 km
- D. 144 km
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Question 36
A man earned GH₵ 240.00 as interest in 4 years at 20% per annum simple interest. Calculate the principal.
- A. GH₵ 300.00
- B. GH₵ 450.00
- C. GH₵ 480.00
- D. GH₵ 1,200.00
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Question 37
A labourer worked for 20½ hours at GH₵ 2.50 per hour. What was the total wage?
- A. GH₵ 51.00
- B. GH₵ 51.25
- C. GH₵ 512.00
- D. GH₵ 512.25
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