WASSCE Maths July 2001 Past Questions (Revision mode with answer feedback)
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Categories
 Algebraic Expressions 0%
 Bearings and Vectors 0%
 Enlargements and Similarities 0%
 Factorization 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%
 Multiplication of Two Binomials 0%
 Number Bases 0%
 Percentages 0%
 Plane Geometry 0%
 Probability 0%
 Rates 0%
 Sets and Operations on Sets 0%
 Simultaneous Equations 0%
 Statistics 0%
 Substitutions and Change of Subjects 0%
 Surds 0%
 Surface Areas and Volume of Solid Figures 0%
 Transformation and Coordinates 0%
 Variation 0%
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Question 1 of 50
1. Question
Category: Sets and Operations on SetsThe set A = {x: 1 ≤ x ≤ 3 } and B= {x: x= 1, 10} are subset of U= {x: 1 ≤ x ≤ l0}, where x is an integer. Find B’, the complement of B.
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Question 2 of 50
2. Question
Category: Sets and Operations on SetsThe set A = {x: 1 ≤ x ≤ 3 } and B= {x: x= 1, 10} are subset of U= {x: 1 ≤ x ≤ l0}, where x is an integer. Find B’, the complement of B. Find A ∩ B.
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Question 3 of 50
3. Question
Category: IndicesMultiply 3.6 x 10^{2} by 10^{4} by 9.5 x 10 and leave your answer in standard’ form.
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Question 4 of 50
4. Question
Category: Linear InequalitiesFind the truth set of the inequality 3x + 8 < 5x – 8.
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Question 5 of 50
5. Question
Category: Multiplication of Two BinomialsExpand (2x – y)(2x +y).
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Question 6 of 50
6. Question
Category: Graphs of Linear and Quadratic FunctionsWhat is the gradient of the joining the points P(5, 6) and Q(6, 4)?
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Question 7 of 50
7. Question
Category: Modular ArithmeticSolve the equation n ⊗ (n ⊗ 4) =1
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Question 8 of 50
8. Question
Category: Modular ArithmeticEvaluate (4 ⊕ 4) ⊗ 5
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Question 9 of 50
9. Question
Category: Modular ArithmeticFind n,if n ⊗ (n ⊕ 3) = 3
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Question 10 of 50
10. Question
Category: SurdsSimplify √98 – √50 + √18
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Question 11 of 50
11. Question
Category: Linear EquationsFind the truth set of x² + 3x 10 = 0
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Question 12 of 50
12. Question
Category: Substitutions and Change of SubjectsMake y the subject of the relation x = ay/b + c.
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Question 13 of 50
13. Question
Category: Number BasesWrite 37_{ten} as a number in base five.
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Question 14 of 50
14. Question
Category: LogarithmsFind the number whose log is ¯2 6021
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Question 15 of 50
15. Question
Category: Bearings and VectorsThe bearing of a point A from another point B is 079°. Find the bearing of B from A.
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Question 16 of 50
16. Question
Category: PercentagesA man bought a car for 8.5 million cedis and later sold it for 9.5 million cedis. Find his percentage gain.
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Question 17 of 50
17. Question
Category: FractionsEvaluate:
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Question 18 of 50
18. Question
Category: Bearings and VectorsFind 2u – 4s + t.
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Question 19 of 50
19. Question
Category: Surface Areas and Volume of Solid FiguresWhich of the following is the definition of a prism?
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Question 20 of 50
20. Question
Category: Linear InequalitiesWhich of the following number lines represents the solution of 2x + 1 > 2?
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Question 21 of 50
21. Question
Category: Number BasesArrange the following numbers in ascending order of magnitude: 21_{eight}, 25_{seven}, 30_{six}
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Question 22 of 50
22. Question
Category: Linear EquationsSolve the equation:
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Question 23 of 50
23. Question
Category: IndicesGiven that 25^{x} = 1, find x.
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Question 24 of 50
24. Question
Category: ProbabilityA bag contains 12 good oranges and 9 bad oranges. If an orange is picked at random from the bag, what is the probability that it is a good orange?
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Question 25 of 50
25. Question
Category: Plane GeometryFind the value of x in the diagram
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Question 26 of 50
26. Question
Category: Algebraic ExpressionsSimplify 1/3 + k/3 + k²/12
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Question 27 of 50
27. Question
Category: LogarithmsIf log_{10} 3 = a and log_{10} 5 = b, write down, in terms of a and b, the value of log_{10} 75.
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Question 28 of 50
28. Question
Category: VariationP varies directly as the square of q and inversely as r. Express P in terms of q, r and k where k is a constant.
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Question 29 of 50
29. Question
Category: StatisticsThe table below shows the distribution of marks obtained by thirty pupils in a test.
What is the mode of distribution?
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Question 30 of 50
30. Question
Category: StatisticsThe table below shows the distribution of marks obtained by thirty pupils in a test.
Find the mean of the distribution.
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Question 31 of 50
31. Question
Category: StatisticsThe table below shows the distribution of marks obtained by thirty pupils in a test.
If a pupil is chosen at random from the group, what is the probability that he obtained a mark greater than 5?
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Question 32 of 50
32. Question
Category: FactorizationFactorise completely 9x^{2} y − 25yz^{2}
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Question 33 of 50
33. Question
Category: Enlargements and SimilaritiesThe quadrilateral A_{1}B_{1}C_{1}D_{1} is an enlargement of quadrilateral ABCD with scale factor 3 from the origin. If the area of A_{1} B_{1} C_{1} D_{1} is 180 cm2, find the area of ABCD.
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Question 34 of 50
34. Question
Category: Plane GeometryIn the diagram, AB is parallel to CD, ∠BAE = 30°, ∠AEC = 70° and ∠ECD = m°. Find m.
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Question 35 of 50
35. Question
Category: Surface Areas and Volume of Solid FiguresThe dimensions of a water tank in the form of a cuboid are 60 cm by 15 cm by 20 cm. Find the capacity of the tank in litres.
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Question 36 of 50
36. Question
Category: StatisticsFind the median of the numbers 22, 41, 35, 63, 82 and 74.
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Question 37 of 50
37. Question
Category: Geometric ConstructionsFind the image of the point P(−12, 4), under the reflection in the line y = −3.
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Question 38 of 50
38. Question
Category: Simultaneous EquationsSolve the following simultaneous equations: x—4y = 1, 2x + 5y=15.
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Question 39 of 50
39. Question
Category: Plane GeometryTwo points K(5, 2) and M(4, 3) lie on a straight line. Find KM
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Question 40 of 50
40. Question
Category: Substitutions and Change of SubjectsFind the value of a^{3} − 3ab − b^{2}, when a = −2 and b=2.
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Question 41 of 50
41. Question
Category: Bearings and VectorsCorrectIncorrect 
Question 42 of 50
42. Question
Category: IndicesCorrectIncorrect 
Question 43 of 50
43. Question
Category: Transformation and CoordinatesThe point P(3, −1) is rotated about the origin through an angle 270° in a clockwise direction. Find the image of P.
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Question 44 of 50
44. Question
Category: Algebraic ExpressionsGiven that 3(14_{x}) = 45_{x}, find the value of x.
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Question 45 of 50
45. Question
Category: Plane GeometryCorrectIncorrect 
Question 46 of 50
46. Question
Category: RatesA trader sold 100 boxes of fruit at ¢8,000.00 per box, 800 boxes at ¢6,000.00 per box and 600 boxes at ¢4,000.00 per box. Find the average selling price per box.
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Question 47 of 50
47. Question
Category: StatisticsIn an examination Ama scored 80% in Mathematics 60% in Science and x% in English. If her mean mark for the subjects was 65%, find x.
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Question 48 of 50
48. Question
Category: Plane GeometryA cliff is 102 m high. From the top of the cliff angle of depression of a boat is 27°. Find the distance of the boat from the foot of the cliff.
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Question 49 of 50
49. Question
Category: Plane GeometryIn the diagram above, XY represents a street lamp. ST represents a boy standing 6 m away from the street lamp. TZ is the shadow of the boy cast by the street lamp. The height of the boy is 1.5 m and the streetlight is 4.5 m high.
Find TZ
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Question 50 of 50
50. Question
Category: Plane GeometryIn the diagram above, XY represents a street lamp. ST represents a boy standing 6 m away from the street lamp. TZ is the shadow of the boy cast by the street lamp. The height of the boy is 1.5 m and the streetlight is 4.5 m high.
Find the angle of elevation of the top of street lamp correct to the nearest degree.
Find TZ
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