2012 General Mathematics WAEC SSCE (School Candidates) May/June

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Objective Test Questions

1. Express 302.10495 correct to five significant figures.
   1. 302.10
   2. 302.11
   3. 302.105
   4. 302.1049
2. Simplify: Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \tfrac{3\sqrt{5} \times 4\sqrt{6}}{2\sqrt{2} \times 3\sqrt{3}}}
   1. Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \sqrt{2}}
   2. Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \sqrt{5}}
   3. Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 2\sqrt{2}}
   4. Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 2\sqrt{5}}
3. In 1995, the enrolments of two schools X and Y were 1,050 and 1,190 respectively. Find the ratio of the enrolments of X to Y
   1. 50 : 11
   2. 15 :17
   3. 13 : 55
   4. 12 : 11
4. Convert 35₁₉ to a number in base 2
   1. 1011
   2. 10011
   3. 100011
   4. 11001
5. The n^th term of a sequence is T_n = 5 + (n - 1)². Evaluate T₄ - T₆
   1. 30
   2. 16
   3. -16
   4. -30
6. Mr Manu travelled from Accrs to Pamfokrom a distance of 720 km in 8 hours. What will be his speed in m/s?
   1. 25 m/s
   2. 150 m/s
   3. 250 m/s
   4. 500 m/s
7. If ₦2,500.00 amounted to ₦3,500.00 in 4 years at simple interest, find the rate at which the interest was charged.
   1. 5%
   2. 7½%
   3. 8%
   4. 10%
8. Solve for x in the equation: Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \tfrac{1}{x}+\tfrac{2}{3x}=\tfrac{1}{3}}
   1. 5
   2. 4
   3. 3
   4. 1
9. Simplify: Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \tfrac{54k^2 - 6}{3k + 1 }} .
   1. 6(1 − 3k²)
   2. 6(3k² − 1)
   3. 6(3k − 1)
   4. 6(1− 3k)
10. Represent the inequality −7 < 4x + 9 ≤ 13 on a number line
    1. Option a
    2. Option b
    3. Option c
    4. Option d
11. Make p the subject of the relation: q = Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \tfrac{3p}{r}+\tfrac{s}{ 2 }}
    1. p = Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \tfrac{2q-rs}{ 6 }}
    2. p = 2qr − sr − 3
    3. p = Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \tfrac{2qr-s}{ 6 }}
    4. p = Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \tfrac{2qr-rs}{ 6 }}
12. If x + y = 2y – x + 1 = 5, find the value of x
    1. 3
    2. 2
    3. 1
    4. -1
13. The sum of 12 and one third of n is 1 more than twice n. Express the statement in the form of an equation.
    1. 12n – 6 = 0
    2. 3n – 12 = 0
    3. 2n – 35 = 0
    4. 5n – 33 = 0
14. Solve the inequality: Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \tfrac{-m}{2}-\tfrac{5}{4}\leq\tfrac{5m}{12}-\tfrac{7}{ 6 }}
    1. Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle m\geq\tfrac{5}{4}}
    2. Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle m\leq\tfrac{5}{4}}
    3. Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle m\geq-\tfrac{1}{11}}
    4. Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle m\leq-\tfrac{1}{1 1}}
15. The curved surface area of a cylindrical tin is 704 cm². If the radius of its base is 8 cm, find the height. [Take π = Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \tfrac{22}{7}} ]
    1. 14 cm
    2. 9 cm
    3. 8 cm
    4. 7 cm
16. The lengths of the minor and major arcs of a circle are 54 cm and 126 cm respectively. Calculate the angle of the major sector
    1. 306°
    2. 252°
    3. 246°
    4. 234°
17. A sector of a circle which subtends 172° at the centre of the circle has a perimeter of 600 cm. Find, correct to the nearest cm, the radius of the circle. [Take π = Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \tfrac{22}{7}} ]
    1. 120 cm
    2. 116 cm
    3. 107 cm
    4. 100 cm
18. ** In the diagram, |QR| = 10 m, |SR| = 8 m, Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \ang} QPS = 30°, Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \ang} QRP = 90° and |PS| = x. Find x.
    1. 1.32 m
    2. 6.32 m
    3. 9.32 m
    4. 17.32 m
19. In △XYZ, |XY| = 8cm, |YZ| = 10cm and |XZ| = 6cm. Which of these relations is true?
    1. |XY| + |YZ| = |XZ|
    2. |XY| - |YZ| = |XZ|
    3. |XZ|² = |YZ|² – |XY|²
    4. |YZ|² = |XZ|² – |XY|²
20. ** In the diagram, O is the centre of the circle PQRS and Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \ang} PSR = 86°. If Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \ang} PQR = x°, find x.
    1. 274
    2. 172
    3. 129
    4. 86
21. ** The diagram is a circle centre O. If Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \ang} SPR = 2m and Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \ang} SQR = n, express m in terms of n.
    1. Option a
    2. Option b
    3. Option c
    4. Option d
22. Question 22
    1. Option a
    2. Option b
    3. Option c
    4. Option d
23. Question 23
    1. Option a
    2. Option b
    3. Option c
    4. Option d
24. Question 24
    1. Option a
    2. Option b
    3. Option c
    4. Option d
25. Question 25
    1. Option a
    2. Option b
    3. Option c
    4. Option d
26. Question 26
    1. Option a
    2. Option b
    3. Option c
    4. Option d
27. Question 27
    1. Option a
    2. Option b
    3. Option c
    4. Option d
28. Question 28
    1. Option a
    2. Option b
    3. Option c
    4. Option d
29. Question 29
    1. Option a
    2. Option b
    3. Option c
    4. Option d
30. Question 30
    1. Option a
    2. Option b
    3. Option c
    4. Option d
31. Question 31
    1. Option a
    2. Option b
    3. Option c
    4. Option d
32. Question 32
    1. Option a
    2. Option b
    3. Option c
    4. Option d
33. Question 33
    1. Option a
    2. Option b
    3. Option c
    4. Option d
34. Question 34
    1. Option a
    2. Option b
    3. Option c
    4. Option d
35. Question 35
    1. Option a
    2. Option b
    3. Option c
    4. Option d
36. Question 36
    1. Option a
    2. Option b
    3. Option c
    4. Option d
37. Question 37
    1. Option a
    2. Option b
    3. Option c
    4. Option d
38. Question 38
    1. Option a
    2. Option b
    3. Option c
    4. Option d
39. Question 39
    1. Option a
    2. Option b
    3. Option c
    4. Option d
40. Question 40
    1. Option a
    2. Option b
    3. Option c
    4. Option d
41. Question 41
    1. Option a
    2. Option b
    3. Option c
    4. Option d
42. Question 42
    1. Option a
    2. Option b
    3. Option c
    4. Option d
43. Question 43
    1. Option a
    2. Option b
    3. Option c
    4. Option d
44. Question 44
    1. Option a
    2. Option b
    3. Option c
    4. Option d
45. Question 45
    1. Option a
    2. Option b
    3. Option c
    4. Option d
46. Question 46
    1. Option a
    2. Option b
    3. Option c
    4. Option d
47. Question 47
    1. Option a
    2. Option b
    3. Option c
    4. Option d
48. Question 48
    1. Option a
    2. Option b
    3. Option c
    4. Option d
49. Question 49
    1. Option a
    2. Option b
    3. Option c
    4. Option d
50. Question 50
    1. Option a
    2. Option b
    3. Option c
    4. Option d

Theory

Section A

1. Question 1
   1. Sub-question a
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
   2. Sub-question b
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
   3. Sub-question c
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
   4. Sub-question d
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
   5. Sub-question e
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
   6. Sub-question f
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
2. Question 2
   1. Sub-question a
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
   2. Sub-question b
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
   3. Sub-question c
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
   4. Sub-question d
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
   5. Sub-question e
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
   6. Sub-question f
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
3. Question 3
   1. Sub-question a
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
   2. Sub-question b
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
   3. Sub-question c
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
   4. Sub-question d
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
   5. Sub-question e
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
   6. Sub-question f
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
4. Question 4
   1. Sub-question a
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
   2. Sub-question b
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
   3. Sub-question c
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
   4. Sub-question d
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
   5. Sub-question e
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
   6. Sub-question f
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
5. Question 5
   1. Sub-question a
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
   2. Sub-question b
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
   3. Sub-question c
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
   4. Sub-question d
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
   5. Sub-question e
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
   6. Sub-question f
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v

Section B

6. Question 6
   1. Sub-question a
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
   2. Sub-question b
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
   3. Sub-question c
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
   4. Sub-question d
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
   5. Sub-question e
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
   6. Sub-question f
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
7. Question 7
   1. Sub-question a
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
   2. Sub-question b
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
   3. Sub-question c
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
   4. Sub-question d
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
   5. Sub-question e
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
   6. Sub-question f
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
8. Question 8
   1. Sub-question a
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
   2. Sub-question b
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
   3. Sub-question c
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
   4. Sub-question d
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
   5. Sub-question e
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
   6. Sub-question f
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
9. Question 9
   1. Sub-question a
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
   2. Sub-question b
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
   3. Sub-question c
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
   4. Sub-question d
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
   5. Sub-question e
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
   6. Sub-question f
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
10. Question 10
    1. Sub-question a
       1. Sub-question i
       2. Sub-question ii
       3. Sub-question iii
       4. Sub-question iv
       5. Sub-question v
    2. Sub-question b
       1. Sub-question i
       2. Sub-question ii
       3. Sub-question iii
       4. Sub-question iv
       5. Sub-question v
    3. Sub-question c
       1. Sub-question i
       2. Sub-question ii
       3. Sub-question iii
       4. Sub-question iv
       5. Sub-question v
    4. Sub-question d
       1. Sub-question i
       2. Sub-question ii
       3. Sub-question iii
       4. Sub-question iv
       5. Sub-question v
    5. Sub-question e
       1. Sub-question i
       2. Sub-question ii
       3. Sub-question iii
       4. Sub-question iv
       5. Sub-question v
    6. Sub-question f
       1. Sub-question i
       2. Sub-question ii
       3. Sub-question iii
       4. Sub-question iv
       5. Sub-question v
11. Question 11
    1. Sub-question a
       1. Sub-question i
       2. Sub-question ii
       3. Sub-question iii
       4. Sub-question iv
       5. Sub-question v
    2. Sub-question b
       1. Sub-question i
       2. Sub-question ii
       3. Sub-question iii
       4. Sub-question iv
       5. Sub-question v
    3. Sub-question c
       1. Sub-question i
       2. Sub-question ii
       3. Sub-question iii
       4. Sub-question iv
       5. Sub-question v
    4. Sub-question d
       1. Sub-question i
       2. Sub-question ii
       3. Sub-question iii
       4. Sub-question iv
       5. Sub-question v
    5. Sub-question e
       1. Sub-question i
       2. Sub-question ii
       3. Sub-question iii
       4. Sub-question iv
       5. Sub-question v
    6. Sub-question f
       1. Sub-question i
       2. Sub-question ii
       3. Sub-question iii
       4. Sub-question iv
       5. Sub-question v
12. Question 12
    1. Sub-question a
       1. Sub-question i
       2. Sub-question ii
       3. Sub-question iii
       4. Sub-question iv
       5. Sub-question v
    2. Sub-question b
       1. Sub-question i
       2. Sub-question ii
       3. Sub-question iii
       4. Sub-question iv
       5. Sub-question v
    3. Sub-question c
       1. Sub-question i
       2. Sub-question ii
       3. Sub-question iii
       4. Sub-question iv
       5. Sub-question v
    4. Sub-question d
       1. Sub-question i
       2. Sub-question ii
       3. Sub-question iii
       4. Sub-question iv
       5. Sub-question v
    5. Sub-question e
       1. Sub-question i
       2. Sub-question ii
       3. Sub-question iii
       4. Sub-question iv
       5. Sub-question v
    6. Sub-question f
       1. Sub-question i
       2. Sub-question ii
       3. Sub-question iii
       4. Sub-question iv
       5. Sub-question v
13. Question 13
    1. Sub-question a
       1. Sub-question i
       2. Sub-question ii
       3. Sub-question iii
       4. Sub-question iv
       5. Sub-question v
    2. Sub-question b
       1. Sub-question i
       2. Sub-question ii
       3. Sub-question iii
       4. Sub-question iv
       5. Sub-question v
    3. Sub-question c
       1. Sub-question i
       2. Sub-question ii
       3. Sub-question iii
       4. Sub-question iv
       5. Sub-question v
    4. Sub-question d
       1. Sub-question i
       2. Sub-question ii
       3. Sub-question iii
       4. Sub-question iv
       5. Sub-question v
    5. Sub-question e
       1. Sub-question i
       2. Sub-question ii
       3. Sub-question iii
       4. Sub-question iv
       5. Sub-question v
    6. Sub-question f
       1. Sub-question i
       2. Sub-question ii
       3. Sub-question iii
       4. Sub-question iv
       5. Sub-question v