Mathematics 2024 WAEC Objective Questions and Solutions.

1. Multiply by and leave the answer in standard form.

Solution;

2. 1<p<20}, where p is an integer} and R = {r:, where r is a multiple of 4}. Find PnR.

Solution

3. The first term of an Arithmetic progression is 2 and the last term is 29. If the common difference is 3, how many terms are in the A.P?

Solution;

4. Express in index form:

Solution;

5. Simplify;

Solution;

6. If , find the value of b.

Solution

7. Find the time for which will amount to at 12.5% per annum simple interest.

Solution

8. If

Solution;

9. The population of a town increases by 3% every year. In the year 2000, the population was 3,000. Find the population in the year 2003. Find the population in the year 2003.

Solution

10. A trader gave a change of N540 instead of N570 to a customer. Calculate the % error.

Solution

11. An interior angle of a regular polygon is 168 degree. Find the number of sides of the polygon.

Solution

12. If 3x-2y=-5 and x+2y=9, find the value of

Solution

13. A variable W varies partly as M and partly inversely as P. Which of the following correctly represents the relation with k1 and k2 as constants?

Solution

14. A cylindrical metallic barrel of height 2.5m and radius 0.245m is closed at one end. Find, correct to one decimal place, the total surface area of the barrel. [Take π=22/7]

Solution

15. A cylindrical metallic barrel of height 2.5m and radius 0.245m is closed at one end. Find, correct to one decimal place, the total surface area of the barrel. [Take π=22/7]

Solution;

16. Consider the following statements;

M:Edna is respectful

N:Edna is brilliant

If M=>N, which of the following statement is valid?

The answer is option C

17. A number is added to both the numerator and the denominator of the fraction 1/8, if the result is ½, find the number

Solution;

18. Gifty, Justina and Frank shared 60 oranges in the ratio 5:3:7 respectively. How many oranges did Justina receive?

1. 19. Find the quadratic equation whose roots are 2/3 and -1.

Solution;

1. 20. A piece of rod of length 44m is cut to form a rectangular shape such that the ratio of the length to the breadth is 7:4. Find the breadth.

Solution;

22. A ladder is 15m long leans against a vertical pole, making an angle of 72 degree with the horizontal, calculate, correct to one decimal place, the distance between the foot of the ladder and the pole.

Solution

23. In the diagram below, O is the centre of the circle. If line OA=25cm and line AB=40cm, find line OH

Solution

24. Given that P is 25m on a bearing of

from Q, how far south of P is Q?

Solution

1. 25. A car valued at $600,000 depreciates by 10% each year. What will be the value of the car at the end of two years?

26. The length and breadth of a cuboid are 15cm and 8cm respectively, if the volume of the cuboid is 1560

. calculate the total surface area.

27. The number 1621 was subtracted from 6244 in base x. If the result was 4323 find x

28. Factorize completely:

29.

find x

30. In the diagram below, JKL is a tangent to the circle GHIK at K <LKG=38 and <HIK=87. Calculate the value of the angle marked x.

Solution

1. 31. A cone and a cylinder are of equal volume. The base radius of the cone is twice the radius of the cylinder. What is the ratio of the height of the cylinder to that of the cone?

32. Find, correct to the nearest whole number, the value of h in the diagram below;

33. The gradient of the line joining the points P(2,-8) and Q(1,y) is -4. Find the value of y

34. The perimeter of a rectangular garden is 90m. If the width is 7m less than the length, find the length of the garden.

35. Four of the angles of a hexagon sum up to

. If the remaining angles are equal, find the value of each of the angles

36. The following are the masses (in kg) of members in a club; 59,34,53,57,49,40,48 and 50. Use the information to answer question 36 and 37. Question 36; Calculate the mean mass

2. Calculate the variance of the distribution

38) Two opposite sides of rectangle are (5x+3)m and (2x+9)m if an adjacent side is (6x-7)m, find in m square the area of the rectangle.

39. A die is tossed one. Find the probability of getting a prime number.

40. The are of a sector of a circle with radius 7cm is 51.3

. Calculate correct to the nearest whole number the angle of the sector. [Take

41. A cliff on the bank of river is 87m high. A boat on the river id 22m away from the foot of the cliff. Calculate correct to the nearest degree. The angle of depression of the boat from the top of the cliff.

42. The probability that Amaka will pass an examination is 3/7 and that Bala will pass is 4/9. Find the probability that both will pass the examination.