2022 Waec Objective Question And Answers – Free WAEC Mathematics 2022

6. In a school, 180 students offer mathematics or physics or both. If 125  offer mathematics and 105 offer physics. How many students offer mathematics only?
A.75       B. 80       C. 55       D. 125.

7. Find the value of x for which 3(24x + 3) = 96
A. 2       B. -2       C. ½       D. -1/2

8. The cost of renovating a 5m square room is N500. What is the cost of renovating a 10m square room?
A. N1,000       B. N2,500       C. 2,000       D. N10,000

9. Find the rate of change of the total surface area S of a sphere with respect to its radius r when r = 2
A. 8       B. 16       C. 10       D. 14

10. Differentiate (cosӨ + sinӨ)2 with respect to Ө.
A. 2cos2Ө       B. 2sin2Ө       C. -2cos2Ө       D. -2sin2Ө

11. A binary operation * on the set of rational numbers is defined as x * y = 2x + [x3 – y3/x + y]. find -1*2
A. 11       B. -11       C. 8       D. -8

12. A polynomial in x whose zeroes are 2, 1 and -3 is ______
A. x3 – 7x + 6
B. x3 + 7x – 6
C. x3 – 7x –  6
D. x3 + 7x + 6

13. Find the range of values of x for which 7x –  3 > 3x + 4
A. x < 7/4
B. x > 7/4
C. 7x < 4
D. -4x < 7

14. Some red balls were put in a basket containing 12 white balls and 16 blue balls. If the probability of picking a red ball from the basket is 3/7, how many red balls were introduced?
A. 13       B.20       C. 12       D. 21

15. Convert 12314 to a number in base 6.
A. 1056
B. 3016
C. 1036
D. 5016

16. Find the slope of the curve y = 3×3 + 5×2 – 3 at (-1, 5).
A. 1       B. -1       C. 19       D. -19

17. Find the area of the region bounded by y = x2 + x – 2 and x-axis

A. 9/2         B. -39/6         C. 8/3          D. 16/3

18. The minimum value of y = x2 – 4x – 5 is ______

A. 2          B. -2         C.13          D. -13

Waec General Mathematics Theory and Answer Paper 2, WASSCE

1. Copy and complete the table of values for the equation y = 2×2 – 7x – 9 for -3 ≤ x ≤ 6.

X	-3	– 2	-1	0	1	2	3	4	5	6
Y		13		-9	-14		-12		6

1. Using scales of 2 cm to 1 unit on the x-axis and 2 cm to 4 units on the y – axis, draw the graph of y = 2×2 – 7x – 9 for -3 ≤ x ≤ 6.
2. Use the graph to estimate the:
3. roots of the equation  2×2 – 7x = 26;

(ii)       coordinates of the minimum point of y;
(iii)       range of values for which  2×2 – 7x < 9.

A solution to Question 1

The Chief Examiner reported that the majority of the Candidates’ who attempted this question got right the complete table of values for which y = 2×2 – 7x – 9. However, many failed to plot the points on the graph correctly on the graph thereby losing marks. Also, they could not read up values from the graph to answer subsequent questions.
In part (a), the Candidates were expected to complete the table as follows:

X	-3	– 2	-1	0	1	2	3	4	5	6
Y	30	13	0	-9	-14	-15	-12	-5	6	21

2021 Waec mathematics question and answers

In part (b), Candidates would then use this table and the scale provided to draw the graph of the relation y = 2×2 – 7x – 9 and use this graph to answer the questions that followed.

In part (c), from the graph, the roots of the equation 2×2 – 7x = 26 were obtained by drawing a line through y = 17 to meet the curve y = 2×2 – 7x – 9. The required roots are – 2.2 ± 0.1 and 5.8 ± 0.1. The coordinates of the minimum point of y is 1.8 ± 0.1, -15 ± 0.4.                The ranges -10.1<x<4.5

Question 2

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.

1. If the mean mark is, find the value of m.
2. Find the:

(i) inter-quartile range;
(ii) probability of selecting a student who scored at least 4 marks in the test.

The solution to Question 2

x	1	2	3	4	5	Total
f	m+2	m-1	2m-3	m+5	3m-4	8m-1
fx	m+2	2m-2	6m-9	4m+20	15m-20	28m-9

From the table, and, so that and solving yields m = 3.
In part (b) (i), since m has been gotten to be 3, the table then becomes:

x	1	2	3	4	5
f	5	2	3	8	5
Cf	5	7	10	18	23

Therefore, interquartile range = 4 – 2 = 2.
Finally, in part (b) (ii), the probability of selecting a student who scored at least 4 marks is whereas most Candidates’ made use of at most 4 marks to obtain 

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