WASSCE Maths November 1994 Past Questions (Revision mode with answer feedback – no time limit)
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Categories
 Algebraic Expressions 0%
 Bearings and Vectors 0%
 Factorization 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%
 Perimeter and Area of Plane Figures 0%
 Pie Charts 0%
 Plane Geometry 0%
 Probability 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%
 Transformation and Coordinates 0%
 Variation 0%
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Question 1 of 50
1. Question
Category: Sets and Operations on SetsWhich of the following is illustrated in the shaded portion of the vein diagram above?
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Question 2 of 50
2. Question
Category: IndicesExpress 0.000344 in standard form.
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Question 3 of 50
3. Question
Category: Number BasesIf 57_{eight }= 233_{x }find x
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Question 4 of 50
4. Question
Category: Graphs of Linear and Quadratic FunctionsFind the equation of the line which passes through the points (2, 7) and (2, 3)
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Question 5 of 50
5. Question
Category: VariationP varies directly as the cube root of Q. If P = 4 when Q = 8, find P when Q = 64
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Question 6 of 50
6. Question
Category: Bearings and VectorsThe bearing of a point Q from another point P is 040º. Find the bearing of P from Q.
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Question 7 of 50
7. Question
Category: Algebraic ExpressionsSimplify (4 – x²) / (2x – x²)
where x ≠ 0 and x ≠ 2.
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Question 8 of 50
8. Question
Category: RatesA man bought a car for 01,500,000.00. He later sold it at a profit of 20%. What was his selling price?
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Question 9 of 50
9. Question
Category: Linear InequalitiesFind the truth set of 1/2(3x – 5) < 3x+2
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Question 10 of 50
10. Question
Category: Transformation and CoordinatesThe point P (3, 4) is reflected in the line x + 2 = 0. Find the coordinates of the image of P.
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Question 11 of 50
11. Question
Category: Plane GeometryIn the diagram above, RQ//ST, ST = 4cm, RQ = 10cm and PT = 6cm. Use the above information to answer the following:
Find PR
CorrectIncorrect 
Question 12 of 50
12. Question
Category: Plane GeometryIn the diagram above, RQ//ST, ST = 4cm, RQ = 10cm and PT = 6cm. Use the above information to answer the following:
If the area ∠PRQ is 90cm², find the area of ∠PST
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Question 13 of 50
13. Question
Category: ProbabilityA number is chosen at random from the set {1, 2, 3, 4, 5, 6). What is the probability that it is odd?
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Question 14 of 50
14. Question
Category: IndicesIf 2^{n} =x, find 2^{n}
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Question 15 of 50
15. Question
Category: Substitutions and Change of Subjects1/v – 1/u = 1/f
Find u in terms of f and v.
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Question 16 of 50
16. Question
Category: Relations and MappingsWhich of the following mapping is a function?
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Question 17 of 50
17. Question
Category: Bearings and VectorsThe point P(x, y) is mapped onto P^{1}(6, 8) under a translation by the vector (3) (7),
find the coordinates
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Question 18 of 50
18. Question
Category: StatisticsThe following table gives the ages of pupils in a class.
Ages (yrs.) 14 15 16 17 18 Frequency 10 35 7 5 3 How many pupils are in the class?
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Question 19 of 50
19. Question
Category: StatisticsThe following table gives the ages of pupils in a class.
Ages (yrs.) 14 15 16 17 18 Frequency 10 35 7 5 3 Calculate the mean age of the class
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Question 20 of 50
20. Question
Category: Plane Geometry0 is the centre of the circle PQRS.
Find the value of the angle marked x°
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Question 21 of 50
21. Question
Category: Plane GeometryO is the centre of the circle PQR. PR is the diameter and ∠RPQ = 35°. Find ∠PQR.
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Question 22 of 50
22. Question
Category: Linear InequalitiesWhich of the following is illustrated on the number line?
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Question 23 of 50
23. Question
Category: Graphs of Linear and Quadratic FunctionsThe graph shows the functions
f(x) = 4x – x2 3 and g(x) = 1 – x.
Find the truth set of 4x—x^{2} —3=0
CorrectIncorrect 
Question 24 of 50
24. Question
Category: Graphs of Linear and Quadratic FunctionsThe graph shows the functions
f(x) = 4x – x2 3 and g(x) = 1 – x.
Find the maximum value of f(x).
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Question 25 of 50
25. Question
Category: Graphs of Linear and Quadratic FunctionsThe graph shows the functions
f(x) = 4x – x2 3 and g(x) = 1 – x.
Solve the equation 4x — x^{2} —3 = 1— x
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Question 26 of 50
26. Question
Category: Transformation and CoordinatesFind the coordinates of the points:
Q(3, 7) under rotation through 180° about the origin.
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Question 27 of 50
27. Question
Category: Modular ArithmeticDetermine the least value of y such that 7+y = 3(mod 8)
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Question 28 of 50
28. Question
Category: Bearings and VectorsIf O is the Origin, find OB.
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Question 29 of 50
29. Question
Category: Geometric ConstructionsWhat is ∠PQS in the construction below?
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Question 30 of 50
30. Question
Category: Sets and Operations on SetsP= {1,2}, Q= {1,2,3,4,5,6}. What is P∩Q?
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Question 31 of 50
31. Question
Category: SurdsSimplify 27^{1/2} x 64^{1/3} ÷ 81^{1/4}.
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Question 32 of 50
32. Question
Category: Perimeter and Area of Plane FiguresThe diagram above shows a sector of circle of radius 14 cm. The angle at the centre is 270°. The sector is folded to form a cone.
Find the radius of the cone
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Question 33 of 50
33. Question
Category: Perimeter and Area of Plane FiguresThe diagram above shows a sector of circle of radius 14 cm. The angle at the centre is 270°. The sector is folded to form a cone.
Find the surface area of the cone.
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Question 34 of 50
34. Question
Category: FactorizationFactorise the expression 5x² + 13x − 6.
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Question 35 of 50
35. Question
Category: Plane GeometryThe exterior angle of a regular pentagon is 70°. Find the sum of its interior angles.
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Question 36 of 50
36. Question
Category: Simultaneous EquationsSolve the simultaneous equation y — x = 1 and 2y + 3x = 7
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Question 37 of 50
37. Question
Category: Pie ChartsThe pie chart above shows the value of goods in an electronic shop. The value of radiocassette players is ¢900,000.00.
What is the total value of goods in the shop?
CorrectIncorrect 
Question 38 of 50
38. Question
Category: Pie ChartsThe pie chart above shows the value of goods in an electronic shop. The value of radiocassette players is ¢900,000.00.
What is the angle of the sector that represents television sets?
CorrectIncorrect 
Question 39 of 50
39. Question
Category: SurdsFind y in the expression:
√24 + √96 – √600 = y√6
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Question 40 of 50
40. Question
Category: Algebraic ExpressionsExpand (3x — 2y) (3x + 2y)
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Question 41 of 50
41. Question
Category: StatisticsThe mean of the numbers 15, 21, 17, 26 ,18, 29 is 21. Calculate the standard deviation of the numbers.
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Question 42 of 50
42. Question
Category: Linear EquationsFind the truth set of the equation:
x/3 – x/5 = 4
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Question 43 of 50
43. Question
Category: Perimeter and Area of Plane FiguresIn the diagram above, │PS│ =20 cm,
│PQ│= 6 cm, │QR│ = x cm, ∠SPR =60° and ∠SRP = 90°
Find x
CorrectIncorrect 
Question 44 of 50
44. Question
Category: Perimeter and Area of Plane FiguresIn the diagram above, │PS│ =20 cm,
│PQ│= 6 cm, │QR│ = x cm, ∠SPR =60° and ∠SRP = 90°
Calculate │SR│
CorrectIncorrect 
Question 45 of 50
45. Question
Category: StatisticsFind the median of the numbers 34, 47, 46, 68, 76, 81.
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Question 46 of 50
46. Question
Category: Relations and MappingsWhich of the following is the image of
(4, 7) under the mapping
x y
↓ ↓
x y + 1/2xCorrectIncorrect 
Question 47 of 50
47. Question
Category: Ratio and ProportionThree people shared an ¢300,000.00 in the ratio 1: 2:3. Find the highest amount received.
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Question 48 of 50
48. Question
Category: RatesExpress 13 m, 4 cm in kilometres.
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Question 49 of 50
49. Question
Category: Bearings and VectorsFind to the nearest degree, the bearing of P from Q.
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Question 50 of 50
50. Question
Category: PercentagesThe simple interest on ¢45,000.00 for 4 years is ¢4,500.00. What is the rate of interest per annum?
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