Mathematics 2021 Past Questions | WAEC
Study the following Mathematics past questions and answers for JAMB, WAEC NECO and Post-JAMB. Get prepared with official past questions and answers for upcoming examinations.
- A. 60\(^o\)
- B. 40\(^o\)
- C. 90\(^o\)
- D. 120\(^o\)
Correct Option: Answer is A
In a polygon with n sides, the sum of the angles =
(n – 2)180, where n = the number of sides.
n = k.
So, we have:
(3k – 10)90 = (k – 2)180
270k – 900 = 180k – 360
Simplifying:
90k = 540
k = 6. So, we have a regular hexagon.
Now, each exterior angle = 360/n
We have: 360/6 = 60
17. Make U the subject of the relation:
x = \(\frac{2U-3}{3U+2}\)
- A. \(\frac{2x+3}{3x-2}\)
- B. \(\frac{2x-3}{3x-2}\)
- C. \(\frac{2x+3}{2-3x}\)
- D. \(\frac{2x+3}{3x+2}\)
Correct Option: Answer is A
x = \(\frac{2U-3}{3U+2}\) =
2U-3= 3Ux + 2x
= 3Ux + 2x =2U-3; 3Ux-2U=-3-2x
= -\(\frac{2x+3}{3x-2}\)
18. A trader paid import duty of 38 kobo in the naira on the cost of an engine If a total of N22,800.00 was paid as import duty, calculate the cost of the engine
- A. N60,000.00
- B. N120,000.00
- C. N24,000.00
- D.N18,000.00
Correct Option: Answer is A
Let the cost of the engine = X
So, X x N0.38 =22,800
0.38X =22800
X=22800/0.38; X =60,000
19. The height of an equilateral triangle is 10\(\sqrt{3}\). Calculate its perimeter.
- A. 20cm
- B. 60cm
- C. 40cm
- D. 30cm
Correct Option: Answer is B
equilateral triangle angles are the same as 60
when height is 10√3
10√3 x
so tan60=10√3/(x/2)
√3 = 10√3/(x/2)
x=20
so area is = 1/2 (base) (hight)
= 1/2( 20)(10√3)
= 100√3
perimeter is 20+20+2=60
20. In triangle LMN, |LM|=6cm, angle LMN = 90o , angle LNM =x and sinx=3/5. Find the area of triangle LMN.
- A. 60cm2
- B. 48cm2
- C. 24cm2
- D. 30cm2
Correct Option: Answer is
21. Consider the statements:
P: All students offering Lieutenant (L) also offer History (H);
Q: students offering History (H) do not offer Geography (G). which of the venn diagrams correctly illustrate the two statements?
Correct Option: Answer is D
22. Find the quadratic equation whose roots are -2q and 5q.
- A. x2 +3qx -10q2 =0
- B. x2 +3qx +10q2 =0
- C. x2 -3qx +10q2 =0
- D. x2 -3qx -10q2 =0
Correct Option: Answer is D
Roots are -2q and 5q
So, (x+2q)(x-5q)=0
x2 -5qx +2qx -10q2 =0
x2 -3qx -10q2 =0
23. if tan θ=3/4, 180o<θ<270o , find the value of cos θ.
- A. 4/5
- B. 3/5
- C. -4/5
- D. -3/5
Correct Option: Answer is C
24. If \(\frac{2}{x-3}\) – \(\frac{3}{x-2}\) = \(\frac{P}{x-3}\)\({x-2}\), find P
- A. (5-x)
- B. (x+5)
- C. (13-x)
- D. -(5x-13)
Correct Option: Answer is A
25. The diagonals of a rhombus are 12 cm and 5 cm, calculate its perimeter.
- A. 26cm
- B. 24cm
- C. 17cm
- D. 34cm
Correct Option: Answer is A
Perimeter = 2 +
=2 + = 2 x 13 =26
26.
In the diagram, triangle XYZ is produced to T. if |XY|=|ZY| and angle XYT = 40o , find angle XZT
- A. 110o
- B. 130o
- C. 120o
- D.140o
Correct Option: Answer is A
27. A solid brass cube is melted and recast as a solid cone of height h and base radius If the height of the cube is h. find r in terms of h
- A. r =h
- B. r = \(\frac{\sqrt{3h}}{π}\)
- C. r = πh
- D. r = h\(\frac{\sqrt{3}}{π}\)
28. Which of the following is not an exterior angle of n regular polygon?
- A. 66o
- B. 72o
- C. 24o
- D. 15o
Correct Option: Answer is A
The size of an exterior angle = 360/n
From the options, all options can perfectly divide 360°, except 66°.
29. From a point T a man moves 12 km due West and then moves 12 km due South to another point Q. Calculate the bearing of T from Q.
- A. 225o
- B. 315o
- C. 045o
- D. 135o
Correct Option: Answer is D
30. In the diagram, O is the centre of the circle PQRS, angle PQR=72o and OR//PS, find angle OPS.
- A. 18\(^o\)
- B. 108\(^o\)
- C. 54\(^o\)
- D.36\(^o\)
Correct Option: Answer is A
MATHEMATICS PAST QUESTIONS 2020 THEORY
- (a) If A = {multiples of 2}, B = {multiples of 3} and C = {factors of 6} are subsets of μ= {x:1 ≤x 5 ≤ 10} find A ∩ B ∩ C
(b) Tickets for a movie premiere cost $18.00 each while the bulk purchase price for 5 tickets is $80.00. If 4 gentlemen decide to get a fifth person to join them so that they can share the bulk purchase price equally, how much would each person save?
- Solution & Explanation:
μ = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
A = {2, 4, 6, 8, 10}
C = {1, 2, 3, 6}
A` ={1, 3, 5, 7, 9}
B` = {1, 2, 4, 5, 7, 8, 10}
C` = {4, 5, 7, 8, 9, 10}
a` ∩ B` C` = {} or ∅
1(b) bulk cost $80
1 will cost $80/5 = $16
for 5 gentlemen each cost $18.50
total cost = 18.50 x 5
= $92.50
5 cost for $16 each = 5 x $16
= $80 – 12.00
each will save $12.50/5
= $2.50
52