Mathematics 2024 WAEC Theory Questions and Solutions.

8. The time (t) taken to buy fuel at a filling station varies directly as the number of vehicle (V) in a queue and varies inversely as the number of pumps (P) available at the station. In a station with 5 pumps, it took 10 minutes to fuel 20 vehicles;

(a) Relationship between t, P and V.

(b) Time it takes to fuel 50 vehicles at a station with 2 pumps

Solution

2. A car travelled a distance of (2x+13)km at 67.5km/h and (5x-20)km at 72km/h. If the total time for the entire journey was 90 minutes, find the value of x.

Solution

3. A circular floor of a building is to be tiled with ceramic tiles each of side 40cm by 40cm. If the perimeter of the floor is 66m, calculate correct to the nearest whole number, the number of tiles required to completely tile the floor. [Take π = 22/7]

Solution

1. In the diagram, ABCD is a circle centre O. The quadrilateral OBCD is a rhombus such that <ADO=<OBA=y and <BAD= I. Find:

a) The value of L

b) The value of y

c) <ADC

Solution

5. A basket contains 3 gold-plated numbers, 4 diamond marbles and some silver marbles all of the same size and shape. Two marbles were drawn from the basket at random one after the other without replacement. If the probability that the two marbles were all silver is 1/15 , find the number of the silver marble

Solution;

6. Given that (x+2), (4x+3) and (7x+24) are consecutive terms of a Geometric progression (G.P) find the

a) value of x

b) The common ratio

Solution;

Age	5	6	7	8	9	10
Frequency	2	2x-1	y+2	4	2	y-1

Use the information above to answer question 7

7. The table above shows the ages of 20 children in household. Given that x:y=1:2, find the

a) Values of x and y

b) Mean age of the children.

Solution;

Two observers Abu and Badu, 46m apart, observe a bird on a vertical pole from the same side of the bird. The angles of elevation of the bird from Abu’s and Badu’s eye are 40 and 48 degree repectively. If at the foot of the pole, Abu and Badu are on the same horizontal.

A) Illustrate the information in a diagram

B) Calculate, correct to one decimal place, the height of the pole.

Solution

9. The diameter of a circle centre O is 26cm, if a chord

is drawn such that it is 5cm from O to the centre of the chord, calculate, correct to the nearest whole number, the

a) <POQ

b) Area of the minor segment formed by the chord . [Take π = 22/7]

Solution

10.

a). Find the equation of the line that passes through the origin and the point of intersection of the lines x+2y=7 and x-y=4

b). The ratio of an interior angle to an exterior angle of a regular polygon is 4:1 Find the;

i. Number of sides

ii. Value of the exterior angle

iii. Sum of the interior angles of the polygon.

Solution;

11a. In a man’s will, he gave 2/5 of the total acres of his cocoa farm to the wife and 1/3 of what is left to the family. The rest of the farm was to be shared among his three children in the ratio 3:5:2. Given that, the child who had the least share received 8 acres, calculate the:

i) total acres the man left;

ii) number of acres the wife received.

Solution;

11b. The list price of a Television set is $1,600.00. It can be purchased by a deposit of $400.00 and the rest of the amount paid by monthly installment at 25% per annum simple interest. If the Television set is purchased by installment, find the total cost.