WASSCE Maths November 1995 Past Questions (Revision mode with answer feedback)
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Categories
 Algebraic Expressions 0%
 Bearings and Vectors 0%
 Factorization 0%
 Fractions 0%
 Geometric Constructions 0%
 Graphs of Linear and Quadratic Functions 0%
 Indices 0%
 Linear Equations 0%
 Linear Inequalities 0%
 Number Bases 0%
 Percentages 0%
 Perimeter and Area of Plane Figures 0%
 Pie Charts 0%
 Plane Geometry 0%
 Probability 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%
 Surface Areas and Volume of Solid Figures 0%
 Transformation and Coordinates 0%
 Trigonometry 0%
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Question 1 of 49
1. Question
Category: Sets and Operations on Sets1f P = {3, 4, 5, 6}, Q = {5, 6, 7, 8} and R = {2, 3, 7, 9). Which of the following represents the set P ∩ (Q U R)
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Question 2 of 49
2. Question
Category: Number BasesSimplify 21_{three} x 21_{three}
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Question 3 of 49
3. Question
Category: Sets and Operations on SetsIf x is prime number, which of the following is a null set?
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Question 4 of 49
4. Question
Category: Algebraic ExpressionsSimplify
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Question 5 of 49
5. Question
Category: IndicesCalculate 83 x 98, giving the answer in the standard form.
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Question 6 of 49
6. Question
Category: FactorizationFactorise 12x^{2} — 3y^{2} completely.
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Question 7 of 49
7. Question
Category: Substitutions and Change of SubjectsGiven that v = πh^{2}(r − h/5)
Express r in terms of v, h and π.
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Question 8 of 49
8. Question
Category: Relations and MappingsWhat is the rule of the mapping x → y in the table below?
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Question 9 of 49
9. Question
Category: Geometric ConstructionsPQRST is a regular pentagon with centre O. The pentagon is given an anticlockwise rotation about O taking P to T. Find the angle of rotation.
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Question 10 of 49
10. Question
Category: Linear InequalitiesWhich of the following represents the truth set of the inequality 1/3 (x +2) > 2x—1?
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Question 11 of 49
11. Question
Category: ProbabilityThere are 100 cars in a car park, 28 of them are blue and 34 red. If a car is selected at random from the car park, what is the probability that it is neither blue nor red?
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Question 12 of 49
12. Question
Category: Graphs of Linear and Quadratic FunctionsThe graph below shows a relation between x and y.
What is the least value of y for the curve?
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Question 13 of 49
13. Question
Category: Graphs of Linear and Quadratic Functionshe graph below shows a relation between x and y.
What is the set of value of x for which y = 0
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Question 14 of 49
14. Question
Category: Graphs of Linear and Quadratic Functionshe graph below shows a relation between x and y.
Find the value of y when x = −3.
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Question 15 of 49
15. Question
Category: Bearings and VectorsWhich of the following vector is parallel to the vector:
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Question 16 of 49
16. Question
Category: Pie ChartsThe pie chart shows the programme analysis of a television station. The station telecast 6 hours each day.
What is the size of the angle for VARIETY?
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Question 17 of 49
17. Question
Category: Pie ChartsThe pie chart shows the programme analysis of a television station. The station telecast 6 hours each day.
How many hours in a day does the station telecast DOCUMENTARY?
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Question 18 of 49
18. Question
Category: Simultaneous EquationsIf 3x −7y = 2 and x − 2y = 4, what is the value of y?
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Question 19 of 49
19. Question
Category: Surface Areas and Volume of Solid FiguresThe volume of a cone with base radius 6 cm, is 132 cm^{3}. Calculate the height of the cone. Take π = 22/7.
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Question 20 of 49
20. Question
Category: Bearings and VectorsThe bearing of P from Q is 045°. What is the bearing of Q from P?
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Question 21 of 49
21. Question
Category: Linear EquationsFind the truth set of 1/5(3x + 4) = 2
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Question 22 of 49
22. Question
Category: IndicesIf 2025 = 3^{4} x 5^{2}, find the square root of 2025
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Question 23 of 49
23. Question
Category: Transformation and CoordinatesUnder a translation, the image of the point (5, 4) is (7, 1). What is the image of the point (1, 4) under the same translation?
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Question 24 of 49
24. Question
Category: Plane GeometryIn the diagram, ∠PRQ= 58°, ∠PQR= 80° and │SR│ = │RQ│. Calculate ∠QVT
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Question 25 of 49
25. Question
Category: Plane GeometryS (4, 6) and R (12, 6) are points in the Cartesian plane. A point P (x, y) moves in the plane such that PS = PR. Find the locus of P.
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Question 26 of 49
26. Question
Category: IndicesIf (3 x 10^4)/(8 x 10^2) = 3.75 X 10^n. What is the value of n?
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Question 27 of 49
27. Question
Category: Ratio and ProportionA pole and a stick stand vertically on a level ground. The stick is 25 cm long and casts a shadow of length 20 cm. If the pole casts a shadow of length 5 m, what is the height of the pole?
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Question 28 of 49
28. Question
Category: Surface Areas and Volume of Solid FiguresThe volume of a cylindrical tank is 1,100 m. If the diameter of its base is 10 m, find its height. Take π = 22/7.
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Question 29 of 49
29. Question
Category: Plane GeometryIn the diagram, POQ, MON and OL are straight lines. ∠QOL = 60°. Calculate the value of x.
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Question 30 of 49
30. Question
Category: Transformation and CoordinatesA point, P. moves in space such that it is always at a constant distance from a fixed point Q. What is the locus of P?
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Question 31 of 49
31. Question
Category: Plane GeometryThe diagram shows a circle with centre O. The angles a, b and c are as shown. Which of the following is/are true?
I. a = b
II. a = c
III. 2b = a
IV. b = a + c
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Question 32 of 49
32. Question
Category: FractionsExpress
in its simplest form.
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Question 33 of 49
33. Question
Category: PercentagesA house agent’s commission on the sale of a house is 7½ %. Calculate his commission on a house sold for ¢14,000,000.00.
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Question 34 of 49
34. Question
Category: StatisticsThe mean of the numbers 5, 2x, 4 and 3 is 5. Find x.
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Question 35 of 49
35. Question
Category: Number BasesConvert 1120_{five} to base ten numeral.
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Question 36 of 49
36. Question
Category: ProbabilityA number is selected at random from the set of whole numbers 1 to 9 inclusive. What is the probability that the number is even?
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Question 37 of 49
37. Question
Category: Plane GeometryIn the diagram, PQRS is a circle with a centre O and ∠RQS = 40°. Calculate ∠PRS.
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Question 38 of 49
38. Question
Category: PercentagesThe marked price of a dress is 09,500.00. A discount of 10% is allowed for cash payment. How much does one save by paying cash for the dress?
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Question 39 of 49
39. Question
Category: Graphs of Linear and Quadratic FunctionsFrom the graph below, find the equation of the line PQ.
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Question 40 of 49
40. Question
Category: Bearings and VectorsCorrectIncorrect 
Question 41 of 49
41. Question
Category: Plane GeometryIn the diagram, PQR is a triangle with ST//PQ, ∠RPQ = 80° and ∠QRP = 70°. Calculate RST.
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Question 42 of 49
42. Question
Category: TrigonometryIf sin x = 1/q which of the following is q equal to tan x.
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Question 43 of 49
43. Question
Category: StatisticsThe table below shows the distribution of ages of students in a class.
Calculate the mean age of the students.
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Question 44 of 49
44. Question
Category: StatisticsThe table below shows the distribution of ages of students in a class.
What is the modal age?
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Question 45 of 49
45. Question
Category: Perimeter and Area of Plane FiguresA sector of a circle of radius 14 cm subtends an angle of 54° at the centre. Calculate the area of the sector.
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Question 46 of 49
46. Question
Category: Plane GeometryIn the diagram, PQ//RS, ∠QPT = 70° ∠PTR=30° and ∠TRS =x°. Find the value of x.
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Question 47 of 49
47. Question
Category: Plane GeometryThe point M is on the same level ground as the foot of a vertical pole. The angle of elevation of the top of the pole from M is 55°. If M is 10 m from the foot of the pole, calculate correct to the nearest metre, the height of the pole.
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Question 48 of 49
48. Question
Category: StatisticsFind the median of the numbers 3, 3, 4, 5, 6, 7.
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Question 49 of 49
49. Question
Category: Perimeter and Area of Plane Figuresp
The diagram above represents a compound which is made up of a rectangle portion, 7m by 10m and a semicircle portion. Calculate the perimeter of the compound.
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