2017 General Mathematics WAEC SSCE (School Candidates) May/June

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Objective Test Questions

1. Express 0.0000407 correct to 2 significant figures
   1. 0.0
   2. 0.00004
   3. 0.000041
   4. 0.0000407
2. If x varies inversely as y and y varies directly as z. What is the relationship between x and z?
   1. x α z
   2. x α 1/z
   3. x α z
   4. x α 1/z²
3. Evaluate: 3¼ x 1³/
   1. 14/15
   2. 13/15
   3. 4/5
   4. 11/15
4. Fig. 1 and Fig. 2 are the addition and multiplication tables respectively in modulo 5. Use these tables to solve the equation$(n\bigotimes 4)\bigoplus 3=0$ (mod5).
   1. 1
   2. 2
   3. 3
   4. 4
5. The ages of Tunde and Ola are in the ratio 1:2. If the, ratio of Ola’s age to Musa’s age is 4:5, what is the ratio of Tunde’s age to Musa’s age?
   1. 1:4
   2. 1:5
   3. 2:5
   4. 5:2
6. If M= {x:3 ≤ x < 8} and N= {x:8 < x ≤ 12} , Which of the following is true? 1. $8\in M\cap N$ 2. $8\in M\cup N$ 3. M $M\cap N=\varnothing$
   1. 3 only
   2. 1 and 2 only
   3. 2 and 3 only
   4. 1,2 and 3
7. Question 7
   1. Option a
   2. Option b
   3. Option c
   4. Option d
8. Question 8
   1. Option a
   2. Option b
   3. Option c
   4. Option d
9. Solve the equation:
   1. Option a
   2. Option b
   3. Option c
   4. Option d
10. A sum of N18,100.00 was shared among 5 boys and 4 girls with each boy taking N20.00 more than each girl. Find a boy's share.
    1. N 1,820.00
    2. N 2,000.00
    3. N 2,020.00
    4. N 2040.00
11. Question 11
    1. Option a
    2. Option b
    3. Option c
    4. Option d
12. Question 12
    1. Option a
    2. Option b
    3. Option c
    4. Option d
13. Simplify: 3x — (p- x) — (r—p)
    1. Option a
    2. Option b
    3. Option c
    4. Option d
14. An arc of a circle of radius 7.5 cm is 7.5 cm long. Find, correct to the nearest degree, the angle which the is arc subtends at the centre of the circle.
    1. Option a
    2. Option b
    3. Option c
    4. Option d
15. Question 15
    1. Option a
    2. Option b
    3. Option c
    4. Option d
16. Question 16
    1. Option a
    2. Option b
    3. Option c
    4. Option d
17. Question 17
    1. Option a
    2. Option b
    3. Option c
    4. Option d
18. Question 18
    1. Option a
    2. Option b
    3. Option c
    4. Option d
19. Question 19
    1. Option a
    2. Option b
    3. Option c
    4. Option d
20. Question 20
    1. Option a
    2. Option b
    3. Option c
    4. Option d
21. Question 21
    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. 2. When I walk from my house at 4 Km/h, I will get to the office 30 minutes later than when I walk at 5 Km/h. Calculate the distance between my house and office
2. 1. Solve the equation:
   2. In the diagram, STQ =m, TUO =80°.UPO =r, PQU =n and ROT =88°. Find the value of (m+n).
3. 1. The angle of depression of a point P on the ground from the top T of a building is 23.6°. If the distance from P to the foot of the building is 50 m. calculate, - correct to the nearest meter, the Height of the building .
   2. In the diagram. "PT//SU.QS//TR, /SR/ =6cm and /RU/ =10cm. If the area of TRU -, = 45cin, calculate the Area of trapezium QTUS.
4. If the sixth term of an Arithmetic Progression (A. P.)« is 37. and the sum of the first six terms is 147, find the:
   1. first term;
   2. sum of the first fifteen terms.
5. Out of 120 customers in a shop, 45 bought both bags and shoes. If all the customers bought either bags or shoes and 11 more customers bought shoes than bags;
   1. illustrate this information in a diagram;
   2. find the number of customers who bought shoes;
   3. calculate the probability that a customer selected at random bought bags.

Section B

6. 1. A manufacturing company: requires 3 hours of direct labour to process every 87.00 worth of raw materials. If the company uses $30,450.00 worth of raw materials, what amount should it budget for direct labour at $18.25 per hour?
   2. An investor invested Nx in bank M at the rate of 6% simple interest per annum and Ny in bank N at the rate of 8% simple interest per annum. If a total of N8,000,000.00 was invested in two banks and the investors received N2,320,000.00 as interest from two banks after 4 years. Calculate the
      1. values of x and y
      2. interest paid by the second bank
7. 1. Copy and complete the table of values for the equation y = 2x"-7x-9 for -3<x<6.
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
   2. Sub-question b
   3. Use the graph to estimate the:
      1. roots of equation
      2. coordinates of the minimum point of v
      3. range of Values for which 2x"-7x<9,
8. ‘The table shows the distribution of marks scored by some students in a test.
   1. If the mean mark is . find the value of m.
   2. Sub-question b
      1. interquartile range:
      2. probability of selecting a student who scored at least 4 marks in the test.
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
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. It takes 8 students two-thirds of an hour to fill 12 tanks with water. How many tanks of water will 4 students fill in one-third of an hour at the same rate?
    2. A chord, 20 cm long, is 12cm from the centre of circle. Calculate, correct to one decimal place, the:
       1. angle subtended by the chord at the centre of the circle;
       2. perimeter of minor segment cut off by the chord. [Take 7=3.142]
12. 1. Using completing the square method, solve, correct to 2 decimal places, the equation 3y"~5y+2=0.
    2. Given that M
13. Question 13
    1. The operation (*) is defined on the set of real numbers, R, by .
       1. Sub-question i
    2. Sub-question b