BECE Maths 2012 Past Questions (Revision mode with answer feedback)
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- Bearings and Vectors 0%
- Capacity, Mass, Time and Money 0%
- Fractions 0%
- Geometric Constructions 0%
- Indices 0%
- Integers 0%
- Linear Inequalities 0%
- Number Bases 0%
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- Percentages 0%
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Question 1 of 40
1. Question
Category: Sets and Operations on SetsIf P = {2, 3, 5, 7} and Q = {2, 4, 6, 8}, find P ∩ Q.
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Question 2 of 40
2. Question
Category: IntegersWhich of the following numbers is an integer?
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Question 3 of 40
3. Question
Category: Properties of Natural NumbersFind the Lowest Common Multiple (LCM) of 22 × 3 × 52 and 23 × 32 × 5.
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Question 4 of 40
4. Question
Category: Geometric ConstructionsHow many diagonals are in a rectangle?
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Question 5 of 40
5. Question
Category: Algebraic ExpressionsSimplify – 4(3 – 5) + 10 – 3(7 + 4) + 30.
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Question 6 of 40
6. Question
Category: Ratio and ProportionAn iron rod 15 m long is divided into 12 equal parts. How long is each part?
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Question 7 of 40
7. Question
Category: Number BasesConvert 42 to a base two numeral.
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Question 8 of 40
8. Question
Category: IndicesSimplify (57 × 54)/52
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Question 9 of 40
9. Question
Category: PercentagesA tank contains 400 litres of water. If 100 litres is used, what percentage is left?
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Question 10 of 40
10. Question
Category: Perimeter and Area of Plane Figures
NOT DRAWN TO SCALE
Triangle ABC is a right-angled triangle. Find the length of AC.
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Question 11 of 40
11. Question
Category: FractionsArrange the following fractions in descending order of magnitude: 2/3, 5/7, 2/5, 1/2.
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Question 12 of 40
12. Question
Category: Relations and MappingsFind the image of 3 under the mapping, x → 10 – 2x.
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Question 13 of 40
13. Question
Category: FractionsSimplify 1/3 + 1/9 + 1/27.
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Question 14 of 40
14. Question
Category: Algebraic ExpressionsIf 2x = 5(x – 2) + 7, find the value of x.
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Question 15 of 40
15. Question
Category: StatisticsThe table below shows the day and night temperatures of a town during a week.
Week day Temperature (°C) Day Night Monday 33 24 Tuesday 29 25 Wednesday 32 23 Thursday 34 26 Friday 32 24 Saturday 30 24 Sunday 30 25 Find, correct to one decimal place, the average day temperature for the week.
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Question 16 of 40
16. Question
Category: StatisticsThe table below shows the day and night temperatures of a town during a week.
Week day Temperature (°C) Day Night Monday 33 24 Tuesday 29 25 Wednesday 32 23 Thursday 34 26 Friday 32 24 Saturday 30 24 Sunday 30 25 On which day was the change in temperature the least?
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Question 17 of 40
17. Question
Category: ProbabilityA box contains 30 identical balls of which 16 are white and the rest yellow. If a girl picks a ball at random from the box, what is the probability that it is a yellow ball?
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Question 18 of 40
18. Question
Category: Linear InequalitiesFind the truth set of 1/4(x + 3) ≤ 2x – 1.
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Question 19 of 40
19. Question
Category: Perimeter and Area of Plane FiguresThe perimeter of the figure below is 71 cm. Find the diameter of the semi-circular portion. [Take π = 22/7]
NOT DRAWN TO SCALE
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Question 20 of 40
20. Question
Category: Algebraic ExpressionsSimplify 3x/4 – (x-y)/3
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Question 21 of 40
21. Question
Category: PercentagesKojo is 20% heavier than Afua. If Kojo weighs 6 kg, what is Afua’s weight?
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Question 22 of 40
22. Question
Category: Plane GeometryFind the volume of a cylinder of height 3 cm and radius 2 cm.
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Question 23 of 40
23. Question
Category: Number PlaneGiven the points S(5, -2) and T(3, 2), calculate the gradient of the line ST.
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Question 24 of 40
24. Question
Category: RatesKofi invested GH¢150,000 at 2.5% per annum simple interest. How long will it take this amount to yield an interest of GH¢11,250.00?
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Question 25 of 40
25. Question
Category: FractionsExpress 3.75 as a mixed fraction.
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Question 26 of 40
26. Question
Category: Ratio and ProportionA map is drawn to the scale 1 : 100,000. What distance in kilometres is represented by 5 cm on the map?
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Question 27 of 40
27. Question
Category: Bearings and VectorsGiven that
r = (-5)
(1)and s = (1)
(-3)find r – 2s.
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Question 28 of 40
28. Question
Category: Capacity, Mass, Time and MoneyEsi went to the market and bought 500 g of meat, 850 g of fish and 900 g of eggs. What is the total weight of the items she bought in kilograms?
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Question 29 of 40
29. Question
Category: Capacity, Mass, Time and MoneyA watch gains 1 1/2 minutes per hour. What is the total time gained from 12 noon to 12 midnight in a day?
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Question 30 of 40
30. Question
Category: RatesA printing machine prints 600 books in 3 hours. How many books will the machine print in 5 hours?
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Question 31 of 40
31. Question
Category: Bearings and VectorsThe bearing of Atoru from Busase is 275°. What is the bearing of Busase from Atoru?
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Question 32 of 40
32. Question
Category: Sets and Operations on SetsIn a class of 24 pupils, 10 study French only and 8 study English only. If each pupil studies at least one of the two subjects, how many study English?
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Question 33 of 40
33. Question
Category: Number BasesConvert 84 to a base five numeral.
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Question 34 of 40
34. Question
Category: Rigid MotionIn the diagrams below, triangle A1B1C1 is an enlargement of triangle ABC. Determine the scale factor.
NOT DRAWN TO SCALE
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Question 35 of 40
35. Question
Category: Properties of Natural NumbersFind the least number that must be added to 308 to make it divisible by 19.
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Question 36 of 40
36. Question
Category: Properties of Natural NumbersIn a school of 940 pupils, the number of girls exceeds the number of boys by 150. How many girls are there in the school?
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Question 37 of 40
37. Question
Category: FractionsWhich of the following fractions is equivalent to 3/5 ?
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Question 38 of 40
38. Question
Category: Plane GeometryIn the diagram below, line PQ is parallel to RS and UV is a line drawn through PQ and RS.
NOT DRAWN TO SCALE
Find angle a.
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Question 39 of 40
39. Question
Category: Plane GeometryIn the diagram below, line PQ is parallel to RS and UV is a line drawn through PQ and RS.
NOT DRAWN TO SCALE
Angle b and angle c are
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Question 40 of 40
40. Question
Category: Algebraic ExpressionsExpand – x(3 – 2x).
CorrectIncorrect