WASSCE Maths November 2000 Past Questions (Revision mode with answer feedback)
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Categories
 Algebraic Expressions 0%
 Bearings and Vectors 0%
 Decimal Fractions 0%
 Factorization 0%
 Fractions 0%
 Graphs of Linear and Quadratic Functions 0%
 Indices 0%
 Linear Equations 0%
 Linear Inequalities 0%
 Logarithms 0%
 Number Bases 0%
 Percentages 0%
 Perimeter and Area of Plane Figures 0%
 Probability 0%
 Rates 0%
 Ratio and Proportion 0%
 Relations and Mappings 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%
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Question 1 of 50
1. Question
Category: Sets and Operations on SetsThe Venn diagram below shows a class of 40 students studying one or more of three subjects, Mathematics (M), Economics (E) and Geography (G).
Find the value of a.
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Question 2 of 50
2. Question
Category: Sets and Operations on SetsThe Venn diagram below shows a class of 40 students studying one or more of three subjects, Mathematics (M), Economics (E) and Geography (G).
Find the number of students who study only one subject.
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Question 3 of 50
3. Question
Category: Number BasesEvaluate 11011_{ two} – 101 _{two}
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Question 4 of 50
4. Question
Category: Linear InequalitiesIllustrate the truth set of 3x + 2 ≥ 5x – 6 on the number line.
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Question 5 of 50
5. Question
Category: FactorizationFactorise the expression 9x^{2} t^{2} 1
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Question 6 of 50
6. Question
Category: Sets and Operations on SetsIn the diagram below, P and Q are subsets of the set of real numbers.
Which of the following represent P υ Q?
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Question 7 of 50
7. Question
Category: Sets and Operations on SetsIn the diagram below, P and Q are subsets of the set of real numbers.
What is P ∩ Q’?
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Question 8 of 50
8. Question
Category: FractionsEvaluate (2 1/2)² – (1 1/2)²
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Question 9 of 50
9. Question
Category: IndicesExpress 0.0098 in the standard form.
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Question 10 of 50
10. Question
Category: IndicesIf 2^{m2} = 32, find the value of m.
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Question 11 of 50
11. Question
Category: LogarithmsSimplify log729/log9
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Question 12 of 50
12. Question
Category: Graphs of Linear and Quadratic FunctionsFind the gradient of the line joining the points P(2, 6) and Q(3, 2).
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Question 13 of 50
13. Question
Category: StatisticsThe marks obtained by 10 candidates in a test are: 8, 6, 2, 2, 4, 8, 9, 4, 9, 3. What is the median mark?
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Question 14 of 50
14. Question
Category: Linear EquationsSolve the equation 12 + 6/x = 9
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Question 15 of 50
15. Question
Category: Bearings and VectorsA translation vector T, takes the point (1, 1) to (3, 4). Find the image of the point (1, 2) under T.
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Question 16 of 50
16. Question
Category: Decimal FractionsEvaluate (0.42 ÷ 2.5)/(0.5 × 2.05) leaving your answer in standard form.
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Question 17 of 50
17. Question
Category: StatisticsFind the mean of numbers 23, 25, 21 and 31.
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Question 18 of 50
18. Question
Category: Substitutions and Change of SubjectsIf p = kq and r = mk/eq, express r in terms of m, p, e and q.
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Question 19 of 50
19. Question
Category: Number BasesEvaluate 1341five – 242 five
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Question 20 of 50
20. Question
Category: SurdsSimplify (√6 + 1)/√6
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Question 21 of 50
21. Question
Category: Algebraic ExpressionsFind the values of x for which the expression x² – 9/(x² 3x + 2) is not defined.
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Question 22 of 50
22. Question
Category: Substitutions and Change of SubjectsIf 2(kx + 6) = 6 + 8x, find the value of k when x = 3.
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Question 23 of 50
23. Question
Category: LogarithmsExpress 2 – 3log_{10} 2 as the logarithm of single number.
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Question 24 of 50
24. Question
Category: Linear EquationsSolve the equation x^{2} – 121 = 0
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Question 25 of 50
25. Question
Category: SurdsSimplify (√3 – 1)(1 + √3)
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Question 26 of 50
26. Question
Category: Transformation and CoordinatesThe point P(5, 1) is rotated about the origin through 180°. Find the coordinates of its image.
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Question 27 of 50
27. Question
Category: Substitutions and Change of SubjectsGiven that a/b = c/d, find an expression for a/(a + b).
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Question 28 of 50
28. Question
Category: Perimeter and Area of Plane FiguresThe radius of a circle is 4 times that of another, what is the relationship between their areas?
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Question 29 of 50
29. Question
Category: Surface Areas and Volume of Solid FiguresThe minute hand of a clock moved from 12 to 4. If the length of the minute hand is 3.5 cm, find the area covered by the minute hand. (Take π = 22/7)
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Question 30 of 50
30. Question
Category: Linear InequalitiesGiven that x – 4 < 4 and x – 4 > 4 which of the following is true?
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Question 31 of 50
31. Question
Category: RatesA tin of rice is consumed by n boys in 8 days. When three more boys joined them, the rice lasts only 6 days. Find n, if the rate of consumption is uniform.
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Question 32 of 50
32. Question
Category: Bearings and VectorsCorrectIncorrect 
Question 33 of 50
33. Question
Category: Ratio and ProportionIf 3x^{2} : 8 = 24 : 16, find the value of x given that x> 0.
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Question 34 of 50
34. Question
Category: PercentagesA dealer made a profit of 22.5% by selling a car for 5.88 million cedis. Find the percentage profit he would have realized if he had sold it for 6.12 million cedis.
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Question 35 of 50
35. Question
Category: StatisticsThe mean mark of a group of 10 boys is 58. If the mean mark of 7 of them is 61, what is the mean mark of the remaining 3 boys?
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Question 36 of 50
36. Question
Category: Graphs of Linear and Quadratic FunctionsFind the point where the lines y + 2x = 3 and 3y – 4x = 4 intersect.
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Question 37 of 50
37. Question
Category: PercentagesA man borrowed ¢1600.00 and paid back ¢1660.00 at the end of 12 months. What annual rate of interest was charged?
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Question 38 of 50
38. Question
Category: Surface Areas and Volume of Solid FiguresA water tank is a cube of side 2 m. The depth of water in it is 60 cm. What is the volume of water in the tank?
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Question 39 of 50
39. Question
Category: Relations and MappingsIf x and y are variables and k is a constant, which of the following relations suggests an inverse relationship between x and y?
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Question 40 of 50
40. Question
Category: Transformation and CoordinatesThe point P (2, 1) is reflected in the line x 3. Find the coordinates of its image.
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Question 41 of 50
41. Question
Category: Surface Areas and Volume of Solid FiguresTwo ball bearings have volumes of 1.6 cm³ and 5.4 cm³. Find the ratio of their surface areas.
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Question 42 of 50
42. Question
Category: PercentagesA grocer sold 45% of his stock of sugar and the quantity that he sold was 96 kg less than the quantity left. How much sugar did he sell?
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Question 43 of 50
43. Question
Category: Graphs of Linear and Quadratic FunctionsThe graph shows a relation between x and y for3 ≤ x ≤ 2.5
What is the maximum value of y in the range 3 ≤ x ≤ 2.5
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Question 44 of 50
44. Question
Category: Graphs of Linear and Quadratic FunctionsThe graph shows a relation between x and y for3 ≤ x ≤ 2.5
For what values of x is y decreasing?
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Question 45 of 50
45. Question
Category: ProbabilityIn a race, 3 students competed from the Green House, 2 from the Red House, 4 from the White House and 1 from the Yellow House. What is the probability that a student from the White House will come first, if there is no tie?
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Question 46 of 50
46. Question
Category: Surface Areas and Volume of Solid FiguresFind the volume of cylindrical drum of diameter 28 cm and height 50 cm. (Take π = 22/7)
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Question 47 of 50
47. Question
Category: FractionsEvaluate
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Question 48 of 50
48. Question
Category: StatisticsThe table below shows the distribution of marks obtained by twenty pupils in a test.
What is the modal mark of the distribution?
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Question 49 of 50
49. Question
Category: StatisticsThe table below shows the distribution of marks obtained by twenty pupils in a test.
Find the median mark.
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Question 50 of 50
50. Question
Category: StatisticsThe table below shows the distribution of marks obtained by twenty pupils in a test.
Find the mean mark for the distribution.
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