# Mathematics 2021 Past Questions | WAEC

Study the following Mathematics past questions and answers for JAMBWAEC  NECO and Post-JAMB. Get prepared with official past questions and answers for upcoming examinations.

16. The sum of the interior angles of a regular polygon with k sides is (3k – 10) right angles. Find the size of the exterior
• A. 60$$^o$$
• B. 40$$^o$$
• C. 90$$^o$$
• D. 120$$^o$$

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. $$\frac{2x+3}{3x+2}$$

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

19.  The height of an equilateral triangle is 10$$\sqrt{3}$$. Calculate its perimeter.

• A. 20cm
• B. 60cm
• C. 40cm
• D. 30cm

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

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?

• A. {-1<x<1}
• B. {-3<x<1}
• C. {-1<x<1}
• D. {-1<x<1}

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

23.  if tan θ=1/4, 180o<θ<270o , find the value of cos θ.

• A. 4/5
• B. 3/5
• C. -4/5
• D. -3/5

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)

25. The diagonals of a rhombus are 12 cm and 5 cm, calculate its perimeter.

• A. 26cm
• B. 24cm
• C. 17cm
• D. 34cm

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

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

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

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$$^o$$

### MATHEMATICS PAST QUESTIONS 2020 THEORY

1. (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?

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