WASSCE Maths November 1993 Past Questions (Revision mode with answer feedback – no time limit)
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Categories
 Bearings and Vectors 0%
 Factorization 0%
 Functions 0%
 Geometric Constructions 0%
 Graphs of Linear and Quadratic Functions 0%
 Indices 0%
 Linear Equations 0%
 Linear Inequalities 0%
 Logarithms 0%
 Logical Reasoning 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%
 Rational Numbers 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%
 Trigonometry 0%
 Variation 0%
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Question 1 of 50
1. Question
Category: Number BasesExpress 25_{ten} as a number in base two.
CorrectIncorrect 
Question 2 of 50
2. Question
Category: Substitutions and Change of SubjectsFind the value of a^{3} + 2ab^{2} + b^{3},
when a = 2 and b = – 1
CorrectIncorrect 
Question 3 of 50
3. Question
Category: Modular ArithmeticUse the addition and multiplication tables for modulo 5 shown below to answer the following:
Find the truth set of
(n ⊗ 4) ⊕ (n ⊗ 4) = 1(mod 5)
CorrectIncorrect 
Question 4 of 50
4. Question
Category: Modular ArithmeticUse the addition and multiplication tables for modulo 5 shown below to answer the following:
What is the truth set of n 0 n = 4(mod5)
CorrectIncorrect 
Question 5 of 50
5. Question
Category: Logical ReasoningConsider the following statement:
If one works hard one must pass his or her examination.
Which of the following is a valid conclusion from the statement?
CorrectIncorrect 
Question 6 of 50
6. Question
Category: Relations and MappingsThe following table shows the mapping
x →y . What is the rule for the mapping?
X 0 2 4 6 8
↓ ↓ ↓ ↓ ↓ ↓
y 5 3 1 1 3CorrectIncorrect 
Question 7 of 50
7. Question
Category: TrigonometryIn the right angle triangle POR shown
below, sin Ȓ equals
CorrectIncorrect 
Question 8 of 50
8. Question
Category: Properties of Natural NumbersExpress 75882 to three significant figures.
CorrectIncorrect 
Question 9 of 50
9. Question
Category: Bearings and VectorsFind the vector which translates the point (2, 4) to the point (5, 3).
CorrectIncorrect 
Question 10 of 50
10. Question
Category: Bearings and VectorsP is equidistant from Q and R. The bearing of Q from P is 70° and the bearing of R from P is 130°. What is the bearing of R from Q?
CorrectIncorrect 
Question 11 of 50
11. Question
Category: Linear InequalitiesIf x is a positive real number, which of the following implication is/are true?
I. 1/x > 1/3 ⇔ x > 3
II. x^{2} > 16 ⇔ x < 5
III. 5 – x < 0 ⇔ x > 5
CorrectIncorrect 
Question 12 of 50
12. Question
Category: SurdsEvaluate without using tables:
√147 – √75 + √27
CorrectIncorrect 
Question 13 of 50
13. Question
Category: LogarithmsIf log3 3 = a and log10 5 = b, find in terms of a and b, the value of log10 75.
CorrectIncorrect 
Question 14 of 50
14. Question
Category: ProbabilityIn a class of 40 students, 30 of them read Chemistry and 20 read Physics. What is the probability that a student chosen at random in the class read both Chemistry and Physics?
CorrectIncorrect 
Question 15 of 50
15. Question
Category: IndicesEvaluate 3√(3^{6 }x 5^{3})^{ }^{ }
Leaving your answer in the prime factors.
CorrectIncorrect 
Question 16 of 50
16. Question
Category: StatisticsThe histogram below shows the marks distribution of a class of 15 pupils. Use it to answer the following:
Calculate the mean mark of the class.
CorrectIncorrect 
Question 17 of 50
17. Question
Category: StatisticsThe histogram below shows the marks distribution of a class of 15 pupils. Use it to answer the following:
Find the median mark for the class.
CorrectIncorrect 
Question 18 of 50
18. Question
Category: IndicesMultiply 6.4 x 10^{2} by 8.5 x l0^{4 }and leave your answer in standard form.
CorrectIncorrect 
Question 19 of 50
19. Question
Category: Substitutions and Change of SubjectsMake h the subject of the relation
V=1/3πr^{2}h
CorrectIncorrect 
Question 20 of 50
20. Question
Category: Transformation and CoordinatesWhen the point (3, 4) is reflected in line I its image is (4, 3). What is the equation of I?
CorrectIncorrect 
Question 21 of 50
21. Question
Category: TrigonometryIn the diagram below, find the sum of x and y.
CorrectIncorrect 
Question 22 of 50
22. Question
Category: Surface Areas and Volume of Solid FiguresWater flows from a tap into an empty cylindrical jar at the rate of 32π cm^{3} ç second. If the radius of the jar is 4cm, find the height of the water in the jar after two seconds.
CorrectIncorrect 
Question 23 of 50
23. Question
Category: RatesA trader gives 5% discount for cash payment. What discount will be allowed on a bill of ¢56,000.00 for cash payment?
CorrectIncorrect 
Question 24 of 50
24. Question
Category: Perimeter and Area of Plane FiguresIn the diagram, O is the centre of a circle of radius 5cm. If the angle POS is 60^{o}, what is the area of the shaded sector?
CorrectIncorrect 
Question 25 of 50
25. Question
Category: Sets and Operations on SetsIf E= {a, b, c, d, e}, P = {a, b, c} and Q = {a, b}. Which of the following statement is/are true?
CorrectIncorrect 
Question 26 of 50
26. Question
Category: Sets and Operations on SetsP, Q and R are sets such that P ⊂ Q and Q ⊂ R. Which of the following is/are correct illustrations of the given information?
CorrectIncorrect 
Question 27 of 50
27. Question
Category: Sets and Operations on SetsP, Q and R are subsets of {2, 3, 4, 5, 6, 7, 8, 9). If P={x: x < 6}, Q={y: 3 < y < 8} and R = {even numbers}. Find P ∩ Q ∩ R
CorrectIncorrect 
Question 28 of 50
28. Question
Category: Transformation and CoordinatesThe points P(2, 4) is rotated about the origin in the coordinate plane through a clockwise angle 270°. Find the image P^{1}
CorrectIncorrect 
Question 29 of 50
29. Question
Category: Bearings and VectorsPQ = (2) (4)
RQ = (1) (5)
Find PR
CorrectIncorrect 
Question 30 of 50
30. Question
Category: Plane GeometryPQ, RS, TU, and GH are straight lines
PQ//RS//TU. What kind of angles are V and W?
CorrectIncorrect 
Question 31 of 50
31. Question
Category: Plane GeometryPQR, SQT, MQN are straight lines.
LPQS = 25° and ZMQT = 85°. Find the value of x.
CorrectIncorrect 
Question 32 of 50
32. Question
Category: FunctionsA function g is defined by g:x (2x1)/x. For what value of x is g undefined?
CorrectIncorrect 
Question 33 of 50
33. Question
Category: Geometric ConstructionsWhat is the size of angle PQT in the construction?
CorrectIncorrect 
Question 34 of 50
34. Question
Category: Number BasesArrange 123 four, 42 six, 28 ten in descending order of magnitude.
CorrectIncorrect 
Question 35 of 50
35. Question
Category: VariationA quantity z varies directly as x and inversely as cube of y. If z = 2, x = 2 and y = 1. Find the relation of z in terms of x and y.
CorrectIncorrect 
Question 36 of 50
36. Question
Category: Rational NumbersWhich of the following is/are rational?
I. P={2, √3, 5}
II. Q={7, 1/6, √9}
III. R={3 ≤ x ≤ 8}
CorrectIncorrect 
Question 37 of 50
37. Question
Category: Substitutions and Change of SubjectsFind the value of (t — s) from the relations:
4s – t + 1=0 and 2t – 5s+1=0
CorrectIncorrect 
Question 38 of 50
38. Question
Category: Substitutions and Change of SubjectsIf 2/a = 1/b – 1/d.
Find an expression for d in terms of a and b.
CorrectIncorrect 
Question 39 of 50
39. Question
Category: FactorizationFactorise completely the expression
(h^{2 }– k^{2}) – p(h – k).
CorrectIncorrect 
Question 40 of 50
40. Question
Category: Sets and Operations on SetsU = {Triangles},
S = {Isosceles triangles),
Q = {Equilateral triangles} and
R = {Right angle triangles).
Which of the Venn diagrams is the correct illustration?
CorrectIncorrect 
Question 41 of 50
41. Question
Category: Graphs of Linear and Quadratic FunctionsThe graph shows the function f(x) = x² – 3x, for the interval 2.5 ≤ x ≤ 5.5. Use it to answer the following:
What is the equation of the axis of symmetry?
CorrectIncorrect 
Question 42 of 50
42. Question
Category: Graphs of Linear and Quadratic FunctionsThe graph shows the function f(x) = x² – 3x, for the interval 2.5 ≤ x ≤ 5.5. Use it to answer the following:
Find the truth set of x²—3x = 10.
CorrectIncorrect 
Question 43 of 50
43. Question
Category: Graphs of Linear and Quadratic FunctionsThe graph shows the function f(x) = x² – 3x, for the interval 2.5 ≤ x ≤ 5.5. Use it to answer the following:
For what values of x is y < 0
CorrectIncorrect 
Question 44 of 50
44. Question
Category: Perimeter and Area of Plane FiguresIn the diagram, PQRS is a circle with centre O. QR = RS and ∠QOR = 70°. Find the value of x.
CorrectIncorrect 
Question 45 of 50
45. Question
Category: Linear InequalitiesFind the truth set of the inequality
2t + 5 < 4t – 5
CorrectIncorrect 
Question 46 of 50
46. Question
Category: Linear InequalitiesWhich of the following illustrates the solution set of {x: 1 ≤ 3x—5 ≤ 7}.
CorrectIncorrect 
Question 47 of 50
47. Question
Category: Linear EquationsFind the truth set of (x—2) (x+ 3)=0
CorrectIncorrect 
Question 48 of 50
48. Question
Category: Sets and Operations on SetsIf P = {2, 4, 6, 8, 10), which of the following adequately defines P.
CorrectIncorrect 
Question 49 of 50
49. Question
Category: Perimeter and Area of Plane FiguresThe diagonal of a rhombus are 8 cm and 6 cm. Calculate the length of the side of the rhombus.
CorrectIncorrect 
Question 50 of 50
50. Question
Category: Linear InequalitiesWhich of the following statements is false?
CorrectIncorrect