# WAEC Mathematics Questions 2020

1. A sector of a circle with radius 21 cm has an area of 280 cm2.
(a) Calculate, correct to 1 decimal place, the perimeter of the sector.
(b) If the sector is bent such that its straight edges coincide to form a cone, calculate, correct to the nearest degree, the vertical angle of the cone. [Take π = 22/7 ]

2. (a) Solve the equation:mathematics 2020 question

(b)waec maths 2020

In the diagram, < STQ = m, < TUQ = 800, < UPQ = r, < PQU = n and < RQT = 880. Find the value of (m + n).

3. A = {2, 4, 6, 8}, B = {2, 3, 7, 9} and C = {x: 3 < x < 9} are subsets of the universal-set
U = {2, 3, 4, 5, 6, 7, 8, 9}. Find
(a) A n(B’nC’);
(b) (AuB) n(BuC).

4. (a) The angle of depression of a boat from the mid-point of a vertical cliff is 35°. If the boat is 120 m from the foot of the cliff, calculate the height of the cliff.
(b) Towns P and Q are x km apart. Two motorists set out at the same time from P to Q at steady speeds of 60 km/h and 80 km/h. The faster motorist got to Q 30 minutes earlier than the other. Find the value of x.

5. ssce maths graph

6. In a class of 40 students, 18 passed Mathematics, 19 passed Accounts, 16 passed Economics, 5 passed Mathematics and Accounts only, 6 passed Mathematics only, 9 passed Accounts only, 2 Accounts and Economics only. If each student offered at least one of the subjects,
(a) How many students failed in all the subjects?
(b) Find the percentage number who failed in at least one of Economics and Mathematics.
(c) Calculate the probability that a student selected at random failed in Accounts.

7. (a) Using completing the square method, solve, correct to 2 decimal places, the equation 3y2 – 5y + 2 = 0
(b) Given that M=maths question image

8. (a) P varies directly as Q and inversely as the square of R. If P = 1 when Q = 8 and R = 2, find the value of Q when P = 3 and R = 5.
(b) An aeroplane flies from town A(20oN, 60oE) to town B(20oN, 20oE).
(i) If the journey takes 6 hours, calculate, correct to 3 significant figures, the average speed of the aeroplane.
(ii) If it then flies due north from town B to town C, 420 km away, calculate, correct to the nearest degree, the latitude of town C.
[Take radius of the earth = 6400 km and π = 3.142]

7. Using ruler and a pair of compasses only,
(a) construct a rhombus PQRS of side 7 cm and ÐPQR = 60o;
(b) locate point X such that X lies on the locus of points equidistant from PQ and QR and also equidistant from Q and R;
(c) measure /XR/.

8. (a) In a class of 50 students, 30 offered History, 15 offered History and Geography while 3 did not offer any of the two subjects.
(i) Represent the information on a Venn diagram.
(ii) Find the number of candidates that offered: History only; Geography only.
(b) A trader sold an article at a discount of 8% for N 828.00. If the article was initially marked to gain 25%, find the
(i) cost price of the article;
(ii) discount allowed.

9. The area of a rectangular football field is 7200m2 while its perimeter is 360m. calculate the:
(a) dimensions of the field;
(b) cost of clearing the field at N6.50 per square meter, leaving a margin of 2m wide along the longer sides;
(c) percentage of the part not cleared.

10. Two fair dice are thrown.
M is the event described by “the sum of the scores is 10” and
N is the event described by “the difference between the scores is 3”.
(a) Write out the elements of M and N.
(b) Find the probability of M or N.
(c) Are M and N mutually exclusive? Give reasons.

11. (a) The total surface area of two spheres are in the ratio 9 : 49. If the radius of the smaller sphere is 12 cm, find, correct to the nearest cm3, the volume of the bigger sphere.
(b) A cyclist starts from a point X and rides 3 km due West to a point Y. At Y, he changes direction and rides 5 km North-West to a point Z.
(i) How far is he from the starting point, correct to the nearest km?
(ii) Find the bearing of Z from X, to the nearest degree.

12.waec mathematics expo 2020

13. (a) Ifwaec maths expo, find x in terms of y.

(b) The table shows the distribution of timber production in five Nigerian states in a certain year.

Community

Timber Production (tonnes)

Cross River
Delta
Edo
Ogun
Ondo

600
900
1800
1500
2400

(i) Draw a pie chart to represent the information.
(ii) What percentage of timber produced that year was from Delta?
(iii) If a tonne of timber is sold at N560.00, how much more revenue would Edo state receive than Cross River?

### WAEC Mathematics Objective Questions 2020:

PAPER 1 (Objective)
Answer ALL questions in this section.

1. 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.

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

3. 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

4. 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

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

6. 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

7. 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

8. 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

9. 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

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

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

12. 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

13. The minimum value of y = x2 – 4x – 5 is __
A. 2 B. -2 C.13 D. -13

14. There are 8 boys and 4 girls in a lift. What is the probability that the first person who steps out of the lift will be a boy?
A. 3/4 B. 1/3 C. 2/3 D. 1/4

15. H varies directly as p and inversely as the square of y. If H = 1, p = 8 and y = 2, find H in terms of p and y.
A. H = p /4y^2 B. H = 2p / y^2 C. H = p / 2 y^2 D. H = p / y^2

16. Solve 4x^2 – 16x + 15
A. X = 1 (1/2) or X = -2 (1/2) B. X = 1 (1/2) or X = 2 (1/2) C. X = 1 (1/2) or X = -1 (1/2) D. X = -1 (1/2) or X = -2 (1/2)

17. If (0.25)^y = 32, find the value of y.
A. y = -5/2 B. y = -3/2 B. y = 3/2 D. y = 5/2.

18. Simplify: log 6 – 3log 3 + 2/3log 27.
A. 3log 2 B. Log 2 C. Log 3 D. 2log 3

19. Bala sold an article for 6,900.00 naira and made a profit of 15 percent. Calculate his percentage profit if he had sold for 6600.00.
A. 5 percent B. 10 percent C. 12 percent D. 13 percent

20. If 3P = 4Q and 9P = 8Q-12, find the value of PQ.
A. 12 B. 7 C. -7 D. -12

21. Evaluate 0.42 divided by 2.5 /0.5 x 2.05, leaving the answer in standard form.
A. 1.639 x 10^2 B. 1.639 x 10^1 C. 1.639 x 10^-1 D. 1.639 x 10^-2.

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