# 2020 WAEC Maths Answers Released – See Waec Mathematics Questions for Objectives & Essay Here.

The Waec mathematics 2020 questions and answers has been released. The West African Examination Council (WAEC) General Mathematics essay and objective paper for SSCE will be written on Saturday 1st February.

The WAEC Maths 2 (Essay) paper will start by 9:30am and will last for 2hrs 30mins while the Waec Mathematics 1 (Objective) exam will commence 3:00pm and will last for 1hr 30mins. In this post, you will be seeing the Waec Maths questions and answers 2019 for candidates that will participate in the examination from past questions.

The questions and answers below on WAEC Mathematics have been provided to assist candidates understand the required standards expected in WAEC Mathematics Examination. ### WAEC Mathematics Question and Answer:

PAPER 2 [Essay]

1. 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).

2. In the diagram above, the points A, B, C and D lie on the circle, centre O. TA and TB are tangents touching the circle at A and B respectively.
AÔB = 132°, AĈD = 59° and AOC is a straight line.

(a) Find ATB.
(b) Find BDA.(c) Find BDC.
(d) Find OBD.

3. (a) The probability that a malaria patient (M) survives when administered with a newly discovered drug is 0.27 and the probability that a thyphoid patient (T) survives when injected with another newly discovered drug is 0.85.  What is the probability that;
i. either of the two patients survives?
ii. of two patients survive?
iii. at least one of the two patients survive?

4. The frequency distribution of the weight of 100 participants in a high jump competition is as
shown below:

(a) Construct the cumulative frequency table.
(b) Draw the cumulative frequency curve.
(c)   From the curve, estimate the:
(i)   median;
(ii) semi-interquartile range;
(iii) probability that a participant chosen at random weighs at least 60 kg.

5. Using ruler and a pair of compasses only:
(a) construct a triangle PQR with /PQ/ = 10cm, ∠QPR = 90° and ∠PQR = 30°;

(b) (i) construct I, the locus of all points equidistant from PR and QR;
(ii) locate M, the point where / intersects with po,

(c) (i) with M as centre and radius MP, draw a circle;
(ii) calculate the area of the circle correct to one decimal place.
[Take Π= 22/7].

6. A sector of angle 135° is removed from a thin circular metal sheet of radius 40cm. It is then folded with the straight edges coinciding to form a right circular cone. Calculate the:
(a) base radius of the cone, correct to two decimal places.
(b) greatest volume of liquid which the cone can hold, leaving your answer correct to the nearest cm3. (Take p = 22/7).

7. (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]

8. 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.

9. (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:
(A) History only;
(B) 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

10. 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.

11. (a) Given the Arithmetic Sequence -6, -2 , 1, …, 71, find the:
(i) common difference;
(ii) number of terms of the sequence
(b) The difference between the third and first terms of a Geometric Progression (G. P.) is 42. If the fourth term is greater than the second term by 168, find the:
(i) first term;
(ii) fourth term of the distribution.

12. The table below shows the distribution of marks scored by students in an examination.

 Class interval Frequency 60 – 6465 – 6970 – 7475 – 7980 – 8485 – 8990 – 9495 – 99 236118721

Calculate, correct to 2 decimal places, the
(a) mean;
(b) standard deviation of the distribution.
ANS: table.

 Class Interval f Class Mid-point x fx fx2 60 – 64 2 62 124 7688 65 – 69 3 67 201 13467 70 – 74 6 72 432 31104 75 – 79 11 77 847 65219 80 – 84 8 82 656 53792 85 – 89 7 87 609 52983 90 – 94 2 92 184 16928 95 – 99 1 97 97 9409 Σf = 40 Σf = 3150 Σfx2 = 250,590

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#### WAEC GCE Mathematics Objective Question:

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)2with 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 = 3x3 + 5x2 – 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

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