WASSCE Maths November 1999 Past Questions (Revision mode with answer feedback)
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Categories
 Bearings and Vectors 0%
 Capacity, Mass, Time and Money 0%
 Enlargements and Similarities 0%
 Factorization 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%
 Plane Geometry 0%
 Probability 0%
 Properties of Natural Numbers 0%
 Rates 0%
 Relations and Mappings 0%
 Sets and Operations on Sets 0%
 Simultaneous Equations 0%
 Statistics 0%
 Substitutions and Change of Subjects 0%
 Surds 0%
 The RightAngled Triangle 0%
 Transformation and Coordinates 0%
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Question 1 of 50
1. Question
Category: Sets and Operations on SetsP={x: x < 5}, Q = {x:2<x<5} and R = {odd numbers} are subsets of, μ= {2,3,4,5,6,7,8,9}. Find P ∩ Q ∩ R’.
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Question 2 of 50
2. Question
Category: Sets and Operations on SetsP={x: x < 5}, Q = {x:2<x<5} and R = {odd numbers} are subsets of, μ= {2,3,4,5,6,7,8,9}. Find P ∩ Q ∩ R’. Find (P U Q) ∩ R’.
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Question 3 of 50
3. Question
Category: Properties of Natural NumbersWrite 57774, correct to three significant figures.
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Question 4 of 50
4. Question
Category: Sets and Operations on SetsIn a class, 24 students read Physics, 21 read Mathematics and 9 read both Physics and Mathematics. If each student reads at least one of the two subjects, find the number of students in the class,
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Question 5 of 50
5. Question
Category: IndicesEvaluate
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Question 6 of 50
6. Question
Category: SurdsSimplify √450 – √200
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Question 7 of 50
7. Question
Category: FractionsEvaluate
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Question 8 of 50
8. Question
Category: Number BasesArrange 11011_{two}, l30_{ two}, 26_{ten} in ascending order of magnitude.
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Question 9 of 50
9. Question
Category: Substitutions and Change of SubjectsMake m the subject of the relation
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Question 10 of 50
10. Question
Category: FunctionsA function is defined by f😡 → x/(2x+1). For what value of x is f undefined.
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Question 11 of 50
11. Question
Category: LogarithmsIf log_{10} 2 = m and log_{10} 3 = n, find the value of log_{10} 24 in terms of m and n.
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Question 12 of 50
12. Question
Category: Substitutions and Change of SubjectsIf 1/a = b – 1/c. Find an expression for c in terms of a and b.
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Question 13 of 50
13. Question
Category: IndicesMultiply 5.8×10‾² by 9.5 x 10³ and leave your answer in standard form.
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Question 14 of 50
14. Question
Category: Modular ArithmeticIn addition and multiplication tables for modulo 5 are as follows.
Find the truth set of 4 ⊗ (n ⊕ 4) = 3
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Question 15 of 50
15. Question
Category: Modular ArithmeticIn addition and multiplication tables for modulo 5 are as follows.
Find the truth set of (n ⊕ 1) ⊗ (n ⊕ 1) = 4
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Question 16 of 50
16. Question
Category: IndicesExpress 0.0000163 in standard form.
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Question 17 of 50
17. Question
Category: IndicesFind the truth set of the equation
2^{9x3 }= 8^{3x}
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Question 18 of 50
18. Question
Category: Linear InequalitiesSolve the inequality 3x – 4 < 5x +4
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Question 19 of 50
19. Question
Category: Bearings and VectorsFind the vector which translates the point (1, 3) to the point (3, 2).
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Question 20 of 50
20. Question
Category: Relations and MappingsThe following shows the mapping x → y.
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Question 21 of 50
21. Question
Category: Transformation and CoordinatesWhen the point (4, 5) is rotated through an angle in the anticlockwise direction about the origin, its image is (5, 4). What is the angle of rotation?
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Question 22 of 50
22. Question
Category: Number BasesExpress 23ten in the binary system.
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Question 23 of 50
23. Question
Category: RatesKwame borrowed ¢300,000.00 from a finance company. He repaid the loan in six equal instalments of ¢55,000.00. How much interest did he pay?
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Question 24 of 50
24. Question
Category: StatisticsThe pie chart shows how Mr. Ade spent his housing loan.
What percentage of the loan was used to purchase materials and land?
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Question 25 of 50
25. Question
Category: StatisticsThe pie chart shows how Mr. Ade spent his housing loan
Find the angle representing labour.
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Question 26 of 50
26. Question
Category: Bearings and VectorsFind the length of the vector
(4)
(2)CorrectIncorrect 
Question 27 of 50
27. Question
Category: Linear EquationsSolve (2x+ 1)(2—x)=0
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Question 28 of 50
28. Question
Category: Simultaneous EquationsIf x – y = 1 and 5x – 2y= 1, find the value of x + y.
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Question 29 of 50
29. Question
Category: Sets and Operations on SetsIf S = {1, 9, 25, 49, 81 }. Which of the following adequately defines S?
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Question 30 of 50
30. Question
Category: Linear InequalitiesWhich of the following illustrates the solution set of 4 — 3x ≥ —5?
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Question 31 of 50
31. Question
Category: FactorizationFactorise completely the expression
(h + 2k)^{2} + 4k^{2} h^{2}
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Question 32 of 50
32. Question
Category: Relations and MappingsA quantity z varies directly as the square root of x and inversely as the cube of y. If z = 8 when x = 4 and y= 4, find the relation for z in terms of x and y.
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Question 33 of 50
33. Question
Category: Plane GeometryIn the diagram PQRS and PUT are straight lines. ∠RUT = 90° and ∠PQU = 130°.
If PQ= QU, find the value of x.
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Question 34 of 50
34. Question
Category: Geometric ConstructionsWhat is the size of the angle ∠SQR in the above construction?
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Question 35 of 50
35. Question
Category: ProbabilityA number is chosen at random from the set A = {1, 2, 3, …, 10). What is the probability that it is either a factor of 24 or a multiple of 5?
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Question 36 of 50
36. Question
Category: RatesAn amount of ¢2,500,000 invested for 5 years yielded simple interest of ¢375,000.
Find the rate of interest per annum.
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Question 37 of 50
37. Question
Category: Capacity, Mass, Time and MoneyWhat is the time, in minutes, taken to cover 8.1 km at an average speed of 5 ms‾¹?
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Question 38 of 50
38. Question
Category: Bearings and VectorsP(2, 1) and Q(1, 2) are two points. Find →PQ
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Question 39 of 50
39. Question
Category: StatisticsThe table shows the masses of 100 students in a polytechnic.
What percentage of the students have a mass of 73 kg?
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Question 40 of 50
40. Question
Category: StatisticsThe table shows the masses of 100 students in a polytechnic.
Find the modal mass of the students.
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Question 41 of 50
41. Question
Category: StatisticsThe table shows the masses of 100 students in a polytechnic.
Calculate the mean mass of the students.
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Question 42 of 50
42. Question
Category: StatisticsThe table shows the masses of 100 students in a polytechnic.
Find the median mass of the students.
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Question 43 of 50
43. Question
Category: Graphs of Linear and Quadratic FunctionsThe diagram shows the graphs of y= 3 + 2x—x and y=x + 2.
Find the coordinates of the maximum point of the curve of y = 3 + 2x – x².
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Question 44 of 50
44. Question
Category: Graphs of Linear and Quadratic FunctionsThe diagram shows the graphs of y= 3 + 2x—x and y=x + 2.
Solve the equation 3 + 2x + x² = 2 + x.
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Question 45 of 50
45. Question
Category: Graphs of Linear and Quadratic FunctionsThe diagram shows the graphs of y= 3 + 2x—x and y=x + 2.
Which of the following is/are true of the curve y=3 +2x—x^{2}?
I. 3+2x—x2>0 for—1<x<3
II. 3+2x—x2>0 for—l>x<3
III. 3+2x—x2<0 for—1<x<3
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Question 46 of 50
46. Question
Category: Bearings and VectorsThe bearing of Q from P is 040° and the bearing of R from P is 130°. If PQ r and PR = 2r, find QR
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Question 47 of 50
47. Question
Category: The RightAngled TriangleIn the diagram above, ∠PQR = ∠PRS = 90°, PS= 10 cm, PQ =3 cm and QR=4cm Find RS.
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Question 48 of 50
48. Question
Category: Bearings and VectorsFind 3a – b.
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Question 49 of 50
49. Question
Category: Enlargements and SimilaritiesTriangle QRS is an enlargement of triangle ABC with scale factor 3. If the area of triangle QRS is 72 cm^{2}, find the area of triangle ABC.
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Question 50 of 50
50. Question
Category: Plane GeometryIn the diagram above, FLQ, GRM, PQRS and KLMN are straight lines. ∠FLM = 123° ∠LMR= 85°, ∠GRS=93°and ∠LQR=x°. Find x.
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