WASSCE Maths November 1996 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%
 Geometric Constructions 0%
 Graphs of Linear and Quadratic Functions 0%
 Indices 0%
 Linear Equations 0%
 Linear Inequalities 0%
 Modular Arithmetic 0%
 Number Bases 0%
 Percentages 0%
 Plane Geometry 0%
 Probability 0%
 Properties of Natural Numbers 0%
 Rates 0%
 Ratio and Proportion 0%
 Relations and Mappings 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%
 Trigonometry 0%
 Variation 0%
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Question 1 of 49
1. Question
Category: Sets and Operations on Sets. The shaded portion of the diagram is represented by
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Question 2 of 49
2. Question
Category: Linear EquationsThe equation of the line through the points (4, 2) and (8, 2) is 3y = px + q, where p and q are consonants. Find the value of p.
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Question 3 of 49
3. Question
Category: FractionsExpress 0.315 as a fraction in its lowest term.
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Question 4 of 49
4. Question
Category: Number BasesEvaluate 141 + 233_{six} − 102_{six}
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Question 5 of 49
5. Question
Category: Decimal FractionsWrite 1.02616 correct to 3 significant figures.
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Question 6 of 49
6. Question
Category: Properties of Natural NumbersWhat property of addition does the statement a + (b + c) = (a + b) + c illustrate, where a, b and c are real numbers?
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Question 7 of 49
7. Question
Category: ProbabilityA number is selected at random from the set S = (1, 2, 3, …… 15). What is the probability that the number is even?
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Question 8 of 49
8. Question
Category: IndicesExpress 0.0000816 in standard form.
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Question 9 of 49
9. Question
Category: IndicesIf 3 ^{y} = 243 find the value of y?
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Question 10 of 49
10. Question
Category: Sets and Operations on SetsIf Y contains 6 elements, Z contains 4 elements and Y ∩ Z contains 2 elements, what is the number of elements in Y ∪ 2?
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Question 11 of 49
11. Question
Category: SurdsSimplify 3√500 – 2√125
A. 30√5
B. 20√5
C. 15√5
D. 10√5CorrectIncorrect 
Question 12 of 49
12. Question
Category: TrigonometryIf tanθ = 0.7352, where 0^{o} < θ < 90°, find, correct to one decimal place, the value of θ.
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Question 13 of 49
13. Question
Category: Linear EquationsSolve x^{2 }+ 4x + 3 = 0.
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Question 14 of 49
14. Question
Category: Algebraic ExpressionsSimplify (a − b)/3 + 3a/2
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Question 15 of 49
15. Question
Category: Relations and MappingsWhat is the rule for the mapping below?
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Question 16 of 49
16. Question
Category: Transformation and CoordinatesG’ (4, 6) is the image of G under a translation by the vector
What is the coordinates of G?
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Question 17 of 49
17. Question
Category: Geometric ConstructionsIn the diagram, PQ //RS.
Angles x and y are called ……………
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Question 18 of 49
18. Question
Category: PercentagesThe marked price of a bag was ¢44,980.00. John received 15% discount for a cash purchases of the bag. How much did he pay for it?
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Question 19 of 49
19. Question
Category: ProbabilityA box contains 7 blue, 5 red and 8 white identical balls. If a ball is picked at random from the box, what is the probability that it is white?
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Question 20 of 49
20. Question
Category: Algebraic ExpressionsEvaluate 1001^{2} – 1
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Question 21 of 49
21. Question
Category: Transformation and CoordinatesThe point P (−3, −5) is reflected in the line y =0. Find the image of P.
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Question 22 of 49
22. Question
Category: Bearings and VectorsEvaluate 2p − q + r.
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Question 23 of 49
23. Question
Category: RatesA cyclist covers 900 m in 5 minutes. What is his average speed in km h¹?
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Question 24 of 49
24. Question
Category: Substitutions and Change of SubjectsMake T the subject of the relation l = g(T/2π)²
T = 2π√g/l
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Question 25 of 49
25. Question
Category: Linear InequalitiesWhich of the sets below is represented on the number line?
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Question 26 of 49
26. Question
Category: Relations and MappingsWhich of the following relations defines a function?
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Question 27 of 49
27. Question
Category: Modular ArithmeticEvaluate 893 + 412 (mod 4)
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Question 28 of 49
28. Question
Category: PercentagesThe simple interest on 0144,000.00 for 3 years is 036,000.00. What is the rate per annum?
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Question 29 of 49
29. Question
Category: Graphs of Linear and Quadratic FunctionsThe diagram below shows the graphs of
y=2+6x—x^{2} and y=10—x.
Find the equation of the axis of symmetry of the curve.
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Question 30 of 49
30. Question
Category: Graphs of Linear and Quadratic FunctionsThe diagram below shows the graphs of
y=2+6x—x^{2} and y=10—x.
Find the coordinates of the maximum point of the curve y = 2 + 6x—x²
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Question 31 of 49
31. Question
Category: Graphs of Linear and Quadratic FunctionsThe diagram below shows the graphs of
y=2+6x—x^{2} and y=10—x.
Find the truth set of the equation 2 + 6x – x^{2} = 10 – x; correct to one decimal place.
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Question 32 of 49
32. Question
Category: Plane GeometryIn the triangle XYZ is produced to T, XY = XZ, ∠YXZ = 40° and ∠XZT = (13x – 20)°. Find the value of x.
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Question 33 of 49
33. Question
Category: FactorizationFactorise the expression 36q^{2} — 49p^{2}
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Question 34 of 49
34. Question
Category: VariationThe electrical resistance R, of a wire varies directly as its length, l and inversely as the square of its diameter d. If k is constant, what is the equation connecting R, 1, d and k.
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Question 35 of 49
35. Question
Category: Ratio and ProportionA vertical pole 6m high, cast a shadow 9m long at the same time that a tree cast a shadow 30m long. Find the height of the tree.
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Question 36 of 49
36. Question
Category: Plane GeometryThe length of a side of an equilateral triangle is 10 cm. Find the height of the triangle.
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Question 37 of 49
37. Question
Category: Bearings and VectorsA man starts from a point A and walks 1000 m on a bearing of 025°. How far north is he from his starting point?
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Question 38 of 49
38. Question
Category: Relations and MappingsWhat is the image of (4, 3) under the mapping
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Question 39 of 49
39. Question
Category: Linear EquationsSolve 3x/2 – 5x/3 = 1
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Question 40 of 49
40. Question
Category: Ratio and ProportionIf 6x: 64 = 18: 32 find the value of x.
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Question 41 of 49
41. Question
Category: TrigonometryIn the diagram, ∠PQS = 50°, ∠PRS 30° and │PR│ = 8cm. Find │QS│
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Question 42 of 49
42. Question
Category: FractionsEvaluate
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Question 43 of 49
43. Question
Category: Geometric ConstructionsWhich of the following diagram illustrates the construction of a perpendicular bisector; L of the XY?
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Question 44 of 49
44. Question
Category: Simultaneous EquationsIf 4x + 2y = 16 and 6x − 2y = 4, find the value of (x + y)
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Question 45 of 49
45. Question
Category: StatisticsThe table below shows the distribution of mark scored by 20 students in a test.
What is the modal mark for the distribution?
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Question 46 of 49
46. Question
Category: StatisticsThe table below shows the distribution of mark scored by 20 students in a test.
Calculate the mean mark.
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Question 47 of 49
47. Question
Category: StatisticsThe table below shows the distribution of mark scored by 20 students in a test.
Find the median mark
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Question 48 of 49
48. Question
Category: Plane GeometryIn the diagram F, Q, R and S are points on the circle with centre O. ∠PQR = 104°, find ∠POR.
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Question 49 of 49
49. Question
Category: Surface Areas and Volume of Solid FiguresA right pyramid has a square base of side 10 cm. If the volume is 700 cm³, find its height.
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