Waec Mathematics Past Questions and Answers

Question 1771:

• WAEC 2017

If the sixth term of an Arithmetic Progression (A.P) is 37 and the sum of the first six terms is 147, find the
(a) first term;
(b) sum of the first fifteen terms.

Question 1772:

• WAEC 2017

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:
(a) Illustrate the this information in a diagram;
(b) find the number of customers who bought shoes;
(c) calculate the probability that a customer selected at random bought bags.

Question 1773:

• WAEC 2017

(a) A manufacturing company requires 3 hours of direct labour to process N87.00 worth of raw materials. If the company uses N30,450.00 worth of raw materials, what amount should it budget at N18.25 per hour?
(b) 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 the two banks and the investor received a total of N2,320,000.00 as interest from the two banks after 4 years, calculate the:
(i) values of x and y
(ii) interest paid by the second bank.

Question 1774:

• WAEC 2017

(a) Copy and complete the table of values for the equation \(y = 2x^{2} - 7x - 9\) for \(-3 \leq x \leq 6\).

x	-3	-2	-1	0	1	2	3	4	5	6
y		13		-9	-14		-12		6

(b) Using scales of 2cm to 1 unit on the x- axis and 2cm to 4 units on the y- axis, draw the graphs of \(y = 2x^{2} - 7x - 9\) for \(-3 \leq x \leq 6\).
(c) Use the graph to estimate the :
(i) roots of the equation \(2x^{2} - 7x = 26\);
(ii) coordinates of the minimum point of y;
(iii) range of values for which \(2x^{2} - 7x < 9\).

Question 1775:

• WAEC 2017

Marks	1	2	3	4	5
Number of students	m + 2	m - 1	2m - 3	m + 5	3m - 4

The table shows the distribution of marks scored by some students in a test.
(a) If the mean mark is \(3\frac{6}{23}\), find the value of m.
(b) Find the : (i) interquartile range
(ii) probability of selecting a student who scored at least 4 marks in the test.