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:
   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. Given that a = log 7 and b = log 2, express lqg 35 in terms qf a and b.
   1. a + b + 1
   2. ab - 1
   3. a - b + 1
   4. b -a + 1
8. If x= 2/3 and y = -6, evaluate xy-y/x.
   1. 0
   2. 5
   3. 8
   4. 9
9. Solve the equation: 1/5x + 1/x = 3
   1. 1/5
   2. 2/5
   3. 3/5
   4. 4/5
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. One factor of
    1. 7x + 5
    2. x - 2
    3. 7x - 2
    4. x - 5
12. Solve: -1/4 < 3/4{3x-2} < 1/2
    1. 5// < x < 8//
    2. -8// < x <7//
    3. -8// < x < 5//
    4. -7// < x < 8//
13. Simplify: 3x — (p- x) — (r—p)
    1. 2x-r
    2. 2x+r
    3. 4x-r
    4. 2x-2p-r
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 center of the circle.
    1. 2/°
    2. 57°
    3. 65°
    4. 115°
15. Water flows out of a pipe at a rate of 40 pi cm3 per second into an empty cylindrical container of base radius 4cm. Find the height of water in the container after 4 seconds.
    1. 10cm
    2. 14cm
    3. 16cm
    4. 20cm
16. The dimensions of a water tank are 13cm, 10cm and 70 cm. If it is half-filled with water, calculate the volume of water in litres.
    1. 4.55 litres
    2. 7.50 litres
    3. 8.10 litres
    4. /.55 litres
17. If the total surface area of a solid hemisphere is equal to its volume. find the radius.
    1. 3.0 cm
    2. 4.5cm
    3. 5.0cm
    4. /.0cm
18. Which of the following is true about parallelograms?
    1. Opposite angles are supplementary.
    2. Opposite angles are complementary
    3. Opposite angles are equal
    4. Opposite angles are reflex angles
19. The diagram shows a circle centre O. If STR = 29° and RST = 46°. Calculate the value of STO.
    1. 12°
    2. 15°
    3. 29°
    4. 34°
20. In the diagram, XY is a straight line, POX = POQ and ROY = QOR. Find the value of POO + ROY.
    1. 60°
    2. 90°
    3. 100°
    4. 120°
21. The diagram shows a circle centre O. If ZZYW = 33°, find ZWX
    1. 33°
    2. 57°
    3. 90°
    4. 100°
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. Find the 6th term of the sequence. 2/3, 7/15, 4/15...
    1. -1/3
    2. -1/5
    3. 1/15
    4. 1/5
39. The diagonal of a square Is 60 cm. Calculate its perimeter.
    2. Option b
    3. Option c
    4. Option d
40. The roots of a quadratic equation are : 1/2 and 2/3. Find the equation.
    1. Option a
    2. Option b
    3. Option c
    4. Option d
41. Make x the subject of the relation
    1. Option a
    2. Option b
    3. Option c
    4. Option d
42. Consider the statements: p: it is hot. q: it is raining, Which ‘of the following symbols correctly represents the statement “It is raining if and only if it is cold”?
    2. Option b
    3. Option c
    4. Option d
43. Given that t = 2XX, find 2XX in terms of t.
    1. Option a
    2. Option b
    3. Option c
    4. Option d
44. Find the value of m in the diagram.
    1. 72°
    2. 68°
    3. 44°
    4. 34°
45. Two bottles are drawn with replacement from a crate containing 8 coke,12 Fanta and 4 sprite bottles. What is the probability that the first is coke and the second is not coke?
    1. Option a
    2. 1/6
    3. 2/x
    4. 3/8
46. If the simple interest on a certain amount of money saved in a bank for 5 years at 21% per annum is N500.00, calculate the total amount due after 6 years at the same rate.
    1. N2500.00
    2. N2600.00
    3. N4500.00
    4. N4600.00
47. Calculate, the variance of,2, 3, 3, 4, 5, 5,5 7, 7 and 9
    1. 2.2
    2. 3.4
    3. 4.0
    4. 4.2
48. A circular pond of radius 4m has a path of width 2.5 m round it. Find, correct to two decimal places, the area of the path. Take XXXX
    1. 7.83mx
    2. 32.2x
    3. 50.2x
    4. 82.50mx
49. The graph of XXXX Is shown in the diagram.; Find the minimum value of y.
    1. -2.0
    2. -2.1
    3. -2.3
    4. -2.5
50. In the diagram, RP is a diameter of circle RSP. RP Is produced to T and TS i a tangent to the circle as S. If PRS = 24°, calculate the value of STR.
    1. 74°
    2. 42°
    3. 48°
    4. 66°

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