WASSCE Maths November 1998 Past Questions (Practice mode with time limit)
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Categories
 Algebraic Expressions 0%
 Bearings and Vectors 0%
 Fractions 0%
 Functions 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%
 Perimeter and Area of Plane Figures 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%
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Question 1 of 50
1. Question
Category: Sets and Operations on SetsThe sets A = {2, 3) and B = {2, 4) are subsets of the universal set, U = {l, 2, 3, 4).
Find A’ U B’, where A’ and B’ are complements of A and B respectively.CorrectIncorrect 
Question 2 of 50
2. Question
Category: Properties of Natural NumbersExpress 39763, correct to three significant figures.
CorrectIncorrect 
Question 3 of 50
3. Question
Category: SurdsEvaluate √125 – √180 + √45
CorrectIncorrect 
Question 4 of 50
4. Question
Category: Modular ArithmeticDetermine the least value of y for which
5 + y = 2(mod 7)
CorrectIncorrect 
Question 5 of 50
5. Question
Category: Number BasesConvert l203five to a base ten numeral.
CorrectIncorrect 
Question 6 of 50
6. Question
Category: IndicesEvaluate 77 x 93. Give the answer in standard form.
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Question 7 of 50
7. Question
Category: FractionsFind x if x/2 + 2x/3 = 14
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Question 8 of 50
8. Question
Category: IndicesSimplify 288^{1/2 }÷ 64^{1/3}
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Question 9 of 50
9. Question
Category: IndicesIf 2^{n} = x, find 2^{n+1}.
CorrectIncorrect 
Question 10 of 50
10. Question
Category: FunctionsA function f is given by f : x → x/(2x1). For what value of x is f undefined?
CorrectIncorrect 
Question 11 of 50
11. Question
Category: Transformation and CoordinatesWhen the point (4, 5) is reflected in the line 1, its image is (4, —5). What is the equation of the line 1?
CorrectIncorrect 
Question 12 of 50
12. Question
Category: Substitutions and Change of SubjectsIf a = 2/b 1/c, find an expression for c, in terms of a and b.
CorrectIncorrect 
Question 13 of 50
13. Question
Category: Relations and MappingsThe following shows a mapping x → y.
x 0 3 6 9 12
↓ ↓ ↓ ↓ ↓ ↓
y 1 5 11 17 23
What linear equation connects x and y?
CorrectIncorrect 
Question 14 of 50
14. Question
Category: Algebraic ExpressionsSimplify the expression
(2a + b)(a—b) + (2a—b)(a + b).
CorrectIncorrect 
Question 15 of 50
15. Question
Category: Geometric ConstructionsWhat is angle PQR in the construction above?
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Question 16 of 50
16. Question
Category: Sets and Operations on SetsThe sets R = {rhombuses} and T= {rectangles} are subsets of U = {quadrilaterals}. If S = R ∩ T. What is the set S?
CorrectIncorrect 
Question 17 of 50
17. Question
Category: Surface Areas and Volume of Solid FiguresThe minute hand of a wall clock is 10.5 cm long. How far does its tip travel in 24 hours? [Take π = 22/7]
CorrectIncorrect 
Question 18 of 50
18. Question
Category: SurdsSimplify (3 – 2√2)(3 + 2√2)
CorrectIncorrect 
Question 19 of 50
19. Question
Category: Linear InequalitiesSolve 4+3x < 10, if x is positive.
CorrectIncorrect 
Question 20 of 50
20. Question
Category: Surface Areas and Volume of Solid FiguresTwo similar cylindrical shaped cans hold 2 litres and 6.75 litres of liquid. If the diameter of the smaller one is 16 cm, find the diameter of the larger can.
CorrectIncorrect 
Question 21 of 50
21. Question
Category: Plane GeometryThe figure below shows three circles which touch each other. X, Y and Z are centres of the circle. The circles with centres Y and Z have equal radii.
Which of the following statements is necessarily true of triangle XYZ?
CorrectIncorrect 
Question 22 of 50
22. Question
Category: IndicesSolve the equation l6^{y} = 8.
CorrectIncorrect 
Question 23 of 50
23. Question
Category: Ratio and ProportionTwo men invested ¢1,200,000 and ¢1,800,000 in a business. How should they share a profit of ¢300,000, if they agree to share it in proportion to their investments.
CorrectIncorrect 
Question 24 of 50
24. Question
Category: Graphs of Linear and Quadratic FunctionsThe graph shows the function f(x)=x^{2} – 7x+10 for the interval 1≤x≤8.
CorrectIncorrect 
Question 25 of 50
25. Question
Category: Graphs of Linear and Quadratic FunctionsThe graph shows the function f(x)=x^{2} – 7x+10 for the interval 1≤x≤8.
What is the equation of the axis of symmetry?
CorrectIncorrect 
Question 26 of 50
26. Question
Category: Graphs of Linear and Quadratic FunctionsThe graph shows the function f(x)=x^{2} – 7x+10 for the interval 1≤x≤8.
Find the truth set of x² – 7x + 6 = 0
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Question 27 of 50
27. Question
Category: Plane GeometryCalculate, correct to the nearest degree, the value of x in the triangle above.
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Question 28 of 50
28. Question
Category: Linear EquationsWhat is the equation of the line which is parallel to the line y + 3x – 2 = 0 and which passes through the point (1, 2)?
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Question 29 of 50
29. Question
Category: Simultaneous EquationsIf x+6/x=5, find the value of x²+36/x²
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Question 30 of 50
30. Question
Category: Plane GeometryIn the diagram, PQRS is a circle with centre O. QR = RS and ∠ROQ = 50°.
If ∠QPS = x, find x.
CorrectIncorrect 
Question 31 of 50
31. Question
Category: Algebraic ExpressionsAma bought p cups of rice at x cedis per cup and q onions at 5 for ¢200.00. Find the total cost in cedis.
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Question 32 of 50
32. Question
Category: RatesA boy cycles 7.5 kilometres to school in 27 1/2 minutes. Find his average speed in metres per seconds, correct to one decimal place.
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Question 33 of 50
33. Question
Category: Bearings and VectorsFind the vector which translates the point (5, 4) to the point (2, 6).
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Question 34 of 50
34. Question
Category: Linear InequalitiesWhich of the following number lines illustrates the solution set of 3x + 5 ≥ – 1
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Question 35 of 50
35. Question
Category: LogarithmsIf log_{10} 3 = a and log_{10} 7 = b, the value of log_{10}63 is ……………..
CorrectIncorrect 
Question 36 of 50
36. Question
Category: Plane GeometryThe exterior angle of a regular polygon is 40°. Find the sum of its interior angles.
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Question 37 of 50
37. Question
Category: Bearings and VectorsP(2, 1) and Q(1, 2) are points in the plane. Find the bearing of F from Q.
CorrectIncorrect 
Question 38 of 50
38. Question
Category: StatisticsThe table gives the marks of 20 students in an examination.
Marks 1 2 3 4 5 6 7 8 9 10 frequency 2 1 3 3 4 1 3 1 0 2 Calculate the mean mark for the distribution.
CorrectIncorrect 
Question 39 of 50
39. Question
Category: StatisticsThe table gives the marks of 20 students in an examination.
Marks 1 2 3 4 5 6 7 8 9 10 frequency 2 1 3 3 4 1 3 1 0 2 Find the median mark for the distribution.
CorrectIncorrect 
Question 40 of 50
40. Question
Category: StatisticsThe table gives the marks of 20 students in an examination.
Marks 1 2 3 4 5 6 7 8 9 10 frequency 2 1 3 3 4 1 3 1 0 2 If a student is selected at random, find the probability that he obtained at least 7 marks.
CorrectIncorrect 
Question 41 of 50
41. Question
Category: Surface Areas and Volume of Solid FiguresThe volume of a cone of height 10.5cm is 396cm^{3}. Find the radius of the cone? [Take π = 22/7]
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Question 42 of 50
42. Question
Category: StatisticsThe mean of the numbers 3, 5, 3x and 2 is 4. Find x.
CorrectIncorrect 
Question 43 of 50
43. Question
Category: Relations and MappingsWhich of the following is the image of (2, 5) under the mapping
(x) → (2y)
(y) → (y − 2x)CorrectIncorrect 
Question 44 of 50
44. Question
Category: ProbabilityA box contains 40 pens of equal size. 10 of them are green and 18 red. If a pen is chosen at random from the box, what is the probability that it is neither green nor red?
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Question 45 of 50
45. Question
Category: Plane GeometryP and Q are two points, 6 cm apart. A point X moves in the same plane as P and Q, such that ∠ZPXQ = 90°. What is the locus of X?
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Question 46 of 50
46. Question
Category: Perimeter and Area of Plane FiguresThe height of an isosceles triangle is 4 cm. Find the length of the base, if the other sides are 5 cm long.
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Question 47 of 50
47. Question
Category: RatesA litre of petrol cost ¢550.00. The average fuel consumption of a car is 4.55 litres per 30 km. What is the cost of petrol for a journey of 150 km, to the nearest cedi?
CorrectIncorrect 
Question 48 of 50
48. Question
Category: Perimeter and Area of Plane FiguresThe diagram above shows a sector of a circle centre 0 and radius 15 cm. The angle POB of the sector cut off from the circle is 60°. The remaining sector is folded to form a cone. Find the radius of the cone.
CorrectIncorrect 
Question 49 of 50
49. Question
Category: Perimeter and Area of Plane FiguresThe diagram above shows a sector of a circle centre 0 and radius 15 cm. The angle POB of the sector cut off from the circle is 60°. The remaining sector is folded to form a cone.
Find the surface area of the cone.
CorrectIncorrect 
Question 50 of 50
50. Question
Category: ProbabilityIn a class of 48 students, 30 of them offer Physics and 27 offer Biology. Each of the students offer at least one of the subjects. What is the probability that a student chosen at random offers only Biology?
CorrectIncorrect