WASSCE Maths November 1997 Past Questions (Revision mode with answer feedback)
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Categories
 Algebraic Expressions 0%
 Bearings and Vectors 0%
 Fractions 0%
 Geometric Constructions 0%
 Graphs of Linear and Quadratic Functions 0%
 Indices 0%
 Linear Equations 0%
 Linear Inequalities 0%
 Logarithms 0%
 Modular Arithmetic 0%
 Number Bases 0%
 Percentages 0%
 Perimeter and Area of Plane Figures 0%
 Plane Geometry 0%
 Probability 0%
 Rates 0%
 Ratio and Proportion 0%
 Rigid Motion 0%
 Sets and Operations on Sets 0%
 Statistics 0%
 Substitutions and Change of Subjects 0%
 Surds 0%
 Surface Areas and Volume of Solid Figures 0%
 Transformation and Coordinates 0%
 Trigonometry 0%
 Variation 0%
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Question 1 of 50
1. Question
Category: Sets and Operations on SetsThe set of A = {1 ≤ x ≤ 4} and B = {1, 4, 10} are subset of U = {x: 1 ≤ x ≤ 10). Find A ∩ B.
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Question 2 of 50
2. Question
Category: Sets and Operations on SetsThe set of A = {1 ≤ x ≤ 4} and B = {1, 4, 10} are subset of U = {x: 1 ≤ x ≤ 10). Find A′ the complement of A.
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Question 3 of 50
3. Question
Category: Number BasesSimplify 100110+ 11011 in base two.
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Question 4 of 50
4. Question
Category: Modular ArithmeticFind the sum of 3 +4 + 1 +2 + 3 (mod 5)
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Question 5 of 50
5. Question
Category: Number BasesFind the base for addition: 35 +43 = 122
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Question 6 of 50
6. Question
Category: Sets and Operations on SetsIn a school, Q = {students who can swim), R = {students over 16 years) and S = {students who are boys). What is Q´ ∩ R´∩ S?
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Question 7 of 50
7. Question
Category: IndicesExpress 98000 in standard form.
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Question 8 of 50
8. Question
Category: Algebraic ExpressionsSimplify
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Question 9 of 50
9. Question
Category: Transformation and CoordinatesThe point (5, 1) is reflected in the xaxis. Find the coordinates of the final image.
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Question 10 of 50
10. Question
Category: Linear InequalitiesWhich of the following number line represents the solutions of 5 – x > 8?
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Question 11 of 50
11. Question
Category: SurdsSimplify (x−1+2√2)(x−1−2√2)
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Question 12 of 50
12. Question
Category: StatisticsFind the median of the following numbers 40, 30, 32, 39, 39, 34, 35, 35, 37.
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Question 13 of 50
13. Question
Category: Transformation and CoordinatesFind the coordinates of the image of the point (m, −7) under an anticlockwise rotation through 90° about the origin.
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Question 14 of 50
14. Question
Category: LogarithmsExpress log 3 + 3 log 2 − 3 log 4 as a single logarithm.
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Question 15 of 50
15. Question
Category: Algebraic ExpressionsEvaluate 61.5^{2} – 38.5^{2}
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Question 16 of 50
16. Question
Category: Bearings and VectorsCorrectIncorrect 
Question 17 of 50
17. Question
Category: VariationThe frequency of vibration, f on a stretched wire is directly proportional to the square root of the length, l and inversely proportional to the square root of the tension, T in the wire. Express T in terms of f, k, and l where k is a constant.
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Question 18 of 50
18. Question
Category: Surface Areas and Volume of Solid FiguresThe area S m of a circular path round a circular garden is given by S = π (R^{2} − r2).
If π = 3.14, R = 6m and r = 2m, calculate the value of S.
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Question 19 of 50
19. Question
Category: Rigid MotionIn the diagram P, Q, R are points on a circle with centre 0. If angle POR = 100°, find angle PQR.
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Question 20 of 50
20. Question
Category: Transformation and CoordinatesA transformation is given by
Find the image (−2, −3) under this transformation.
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Question 21 of 50
21. Question
Category: StatisticsFind the mean of 306, 308,304 and 314.
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Question 22 of 50
22. Question
Category: SurdsSimplify
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Question 23 of 50
23. Question
Category: TrigonometryIf sin x = 0.8192, where 90° < x < 180°, find x.
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Question 24 of 50
24. Question
Category: ProbabilityA box contains 3 black and 5 red balls of the same size. If a ball is picked at random, what is the probability that it is black?
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Question 25 of 50
25. Question
Category: PercentagesA man spent 58% of his income and the amount of money left was ¢21,000.00. Find his income.
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Question 26 of 50
26. Question
Category: Bearings and VectorsFind the magnitude of u + V.
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Question 27 of 50
27. Question
Category: IndicesIf 4^{x }= 2^{3x3}, find x.
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Question 28 of 50
28. Question
Category: Ratio and ProportionKwaku and Attah formed a company and agreed that their profit will be shared in the ratio 4: 5 respectively. At the end of the year, Attah received ¢5000.00 more than Kwaku. How much profit did the company make in the year?
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Question 29 of 50
29. Question
Category: Bearings and Vectors
Find the image of the point (0, 1) under T.CorrectIncorrect 
Question 30 of 50
30. Question
Category: Graphs of Linear and Quadratic FunctionsFind the equation of the line with gradient 3 which passes through the point (2, 0).
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Question 31 of 50
31. Question
Category: Linear EquationsSolve 6x^{2} − 13x = − 5
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Question 32 of 50
32. Question
Category: StatisticsIn an examination, Otu scored 72% in Mathematics, 68% in Chemistry and x% in Physics. If his mean mark in the three subject was 65%, find x.
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Question 33 of 50
33. Question
Category: Perimeter and Area of Plane FiguresFind the length of the arc of a sector of a circle of radius 3.5 cm which subtends an angle of 144° at the centre. [Take π = 22/7]
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Question 34 of 50
34. Question
Category: PercentagesA company sold 51,644 cars in 1996. In 1997 it sold 54,244 cars. Find the percentage increase in sales, correct to two decimal places.
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Question 35 of 50
35. Question
Category: Linear InequalitiesSolve the inequality 48 < 1/2(1 + x)
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Question 36 of 50
36. Question
Category: FractionsSimplify
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Question 37 of 50
37. Question
Category: Geometric ConstructionsThe diagram above shows the arcs used in the construction of angle PQR. What is the size of this angle?
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Question 38 of 50
38. Question
Category: Perimeter and Area of Plane FiguresFind the perimeter of a semicircular window of radius 30cm. [Take π = 22/7]
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Question 39 of 50
39. Question
Category: RatesJude travelled a distance of 12 km on a bicycle at an average speed of 8 kmh‾¹. How long did it take him to make the trip?
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Question 40 of 50
40. Question
Category: Sets and Operations on SetsIn a class of 20 students, 16 play soccer,12 play hockey and 2 do not play any of the two games. How many students play only hockey?
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Question 41 of 50
41. Question
Category: Transformation and CoordinatesFind the coordinates of the image of the point (1/2, 0) under an anticlockwise rotation through 90° about the origin.
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Question 42 of 50
42. Question
Category: Substitutions and Change of SubjectsMake r the subject of the relation
v = 1/6πh(3r^{2} +h^{2})
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Question 43 of 50
43. Question
Category: StatisticsFind the standard deviation of 5, 6, 7, 8 and 9.
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Question 44 of 50
44. Question
Category: Bearings and VectorsExpress (30km, 240°) in the form
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Question 45 of 50
45. Question
Category: StatisticsThe mean of seven numbers is 15. When three numbers are added, the mean of ten numbers become 12. Find the mean of the three numbers.
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Question 46 of 50
46. Question
Category: Bearings and VectorsFind p such that q = 1/2p
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Question 47 of 50
47. Question
Category: Linear EquationsSolve the equation 8/(6 − y) = −2
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Question 48 of 50
48. Question
Category: Ratio and ProportionA string 180 cm long is divided in the ratio 2: 3: 4. How long will the longest part of the string be?
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Question 49 of 50
49. Question
Category: Surface Areas and Volume of Solid FiguresA swimming pool with length 30 m and width 12 m is 4 m deep at one end and 1 m deep at the other end. Find the volume of water that will fill it completely.
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Question 50 of 50
50. Question
Category: Plane GeometryIn the diagram, R, S. T are points on a circle with centre 0, find the relationship between x and y.
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