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

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Objective Test Questions

Express 0.0000407 correct to 2 significant figures
1. 0.0
2. 0.00004
3. 0.000041
4. 0.0000407
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
Evaluate: 3¼ x 1³/
1. 14/15
2. 13/15
3. 4/5
4. 11/15
Fig. 1 and Fig. 2 are the addition and multiplication tables respectively in modulo 5. Use these tables to solve the equation $(n\bigotimes 4)\bigoplus 3=0$ $(n\bigotimes 4)\bigoplus 3=0$ (mod5).
1. 1
2. 2
3. 3
4. 4
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
If M= {x:3 ≤ x < 8} and N= {x:8 < x ≤ 12} , Which of the following is true? 1. $8\in M\cap N$ $8\in M\cap N$ 2. $8\in M\cup N$ $8\in M\cup N$ 3. M $M\cap N=\varnothing$ $M\cap N=\varnothing$
1. 3 only
2. 1 and 2 only
3. 2 and 3 only
4. 1,2 and 3
Question 7
1. Option a
2. Option b
3. Option c
4. Option d
Question 8
1. Option a
2. Option b
3. Option c
4. Option d
Solve the equation:
1. Option a
2. Option b
3. Option c
4. Option d
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
Question 11
1. Option a
2. Option b
3. Option c
4. Option d
Question 12
1. Option a
2. Option b
3. Option c
4. Option d
Simplify: 3x — (p- x) — (r—p)
1. Option a
2. Option b
3. Option c
4. Option d
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
Question 15
1. Option a
2. Option b
3. Option c
4. Option d
Question 16
1. Option a
2. Option b
3. Option c
4. Option d
Question 17
1. Option a
2. Option b
3. Option c
4. Option d
Question 18
1. Option a
2. Option b
3. Option c
4. Option d
Question 19
1. Option a
2. Option b
3. Option c
4. Option d
Question 20
1. Option a
2. Option b
3. Option c
4. Option d
Question 21
1. Option a
2. Option b
3. Option c
4. Option d
Question 22
1. Option a
2. Option b
3. Option c
4. Option d
Question 23
1. Option a
2. Option b
3. Option c
4. Option d
Question 24
1. Option a
2. Option b
3. Option c
4. Option d
Question 25
1. Option a
2. Option b
3. Option c
4. Option d
Question 26
1. Option a
2. Option b
3. Option c
4. Option d
Question 27
1. Option a
2. Option b
3. Option c
4. Option d
Question 28
1. Option a
2. Option b
3. Option c
4. Option d
Question 29
1. Option a
2. Option b
3. Option c
4. Option d
Question 30
1. Option a
2. Option b
3. Option c
4. Option d
Question 31
1. Option a
2. Option b
3. Option c
4. Option d
Question 32
1. Option a
2. Option b
3. Option c
4. Option d
Question 33
1. Option a
2. Option b
3. Option c
4. Option d
Question 34
1. Option a
2. Option b
3. Option c
4. Option d
Question 35
1. Option a
2. Option b
3. Option c
4. Option d
Question 36
1. Option a
2. Option b
3. Option c
4. Option d
Question 37
1. Option a
2. Option b
3. Option c
4. Option d
Question 38
1. Option a
2. Option b
3. Option c
4. Option d
Question 39
1. Option a
2. Option b
3. Option c
4. Option d
Question 40
1. Option a
2. Option b
3. Option c
4. Option d
Question 41
1. Option a
2. Option b
3. Option c
4. Option d
Question 42
1. Option a
2. Option b
3. Option c
4. Option d
Question 43
1. Option a
2. Option b
3. Option c
4. Option d
Question 44
1. Option a
2. Option b
3. Option c
4. Option d
Question 45
1. Option a
2. Option b
3. Option c
4. Option d
Question 46
1. Option a
2. Option b
3. Option c
4. Option d
Question 47
1. Option a
2. Option b
3. Option c
4. Option d
Question 48
1. Option a
2. Option b
3. Option c
4. Option d
Question 49
1. Option a
2. Option b
3. Option c
4. Option d
Question 50
1. Option a
2. Option b
3. Option c
4. Option d

Theory

Section A

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
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).
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.
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.
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

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
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,
‘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.
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
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
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]
1. Using completing the square method, solve, correct to 2 decimal places, the equation 3y"~5y+2=0.
2. Given that M
Question 13
1. The operation (*) is defined on the set of real numbers, R, by .
  1. Sub-question i
2. Sub-question b