WAEC - Mathematics (2024)

1
Multiply 3.4 x 10$^{-5}$ by 7.1 x 10$^8$ and leave the answer in standard form.
Відповідь
(C)
2.414 x 10$^4$
2
Given that P = {p: 1< p < 20}, where p is an integer and R = {r : 0 $\leq$ r $\leq$ 25, where r is a multiple of 4}. Find P ∩ R
Відповідь
(B)
{4, 8, 12, 16}
3
The first term of an Arithmetic Progression (A.P) is 2 and the last term is 29. If the common difference is 3, how many terms are in the A.P.?
Відповідь
(C)
10
4
Express in index form: log$_a^x$ + log$_a^y$ = 3
Відповідь
(C)
xy = a$^3$
5
Simplify: (2p - q)$^2$ - (p + q)$^2$
Відповідь
(A)
3p(p - 2q)
6
If (3 - 4$\sqrt{2}$)(1 + 3$\sqrt{2}$) = a + b$\sqrt{2}$, find the value of b
Відповідь
(B)
5
7
Find the sum for which $ 1,250.00 will amount to $ 2,031.25 at 12.5% per annum simple interest.
Відповідь
(D)
5 years
8
If log$_3^{2x - 1}$ = 5, find the value of x
Відповідь
(D)
122
9
The population of a town increases by 3% every year. In the year 2000, the population was 3000. Find the population in the year 2003.
Відповідь
(B)
3,278
10
A trader gave a change of # 540.00 instead of # 570.00 to a customer. Caculate the percentage error.
Відповідь
(A)
5$\frac{5}{19}$%
11
The interior angle of a regular polygon is 168º. Find the number of sides of the polygon.
Відповідь
(B)
30
12
If 3x - 2y = - 5 and x + 2y = 9, find the value of $\frac{x - y}{x + y}$
Відповідь
(C)
$\frac{-3}{5}$
13
A variable W varies partly as M and Partly inversely as P. Which of the following correctly represents the relation with k$_1$ and k$_2$ constants?
Відповідь
(C)
W = k$_1$M + $\frac{k_2}{P}$
14
A cylindrical metallic barrel of height 2.5m and radius 0.245 is closed at one end. Find, correct to one decimal place, the total surface area of the barrel (Take π = $\frac{22}{7}$)
Відповідь
(C)
4.0 m$^2$
15
Make R the subject of the relation V = πl(R$^2$ - r$^2$)
Відповідь
(A)
R = $\sqrt{\frac{V}{πl} + r^2}$
16
Consider the following statements:

m = Edna is respectful

n = Edna is brilliant,

If m ⇒ n, which of the following is valid?
Відповідь
(A)
¬n ⇒ ¬m.
17
A number is added to both the numerator and the denominator of the fraction $\frac{1}{8}$ if the result is $\frac{1}{2}$, find the number.
Відповідь
(D)
6
18
Gifty, Justina, and Frank shared 60 oranges in the ratio 5: 3: 7 respectively. How many oranges did Justina receive?
Відповідь
(B)
12
19
Find the quadratic equation whose roots are $\frac{2}{3}$ and - 1
Відповідь
(C)
3x$^2$ + x - 2 = 0
20
A piece of rod of length 44 m is cut to form a rectangular shape such that the ratio of the length to the breadth is 7: 4. Find the breath.
Відповідь
(A)
8m
21

In the diagram above, $\overline{MN} || \overline{KL}$, $\overline{ML}$ and $\overline{KN}$ intersect at X. |$\overline{MN}$| = 12cm, |$\overline{MX}$| = 10cm and |$\overline{MN}$| = 9cm. If the area of $\triangle$ MXN is 16cm$^2$, calculate the area of $\triangle$ LXK
Відповідь
(A)
9cm$^2$
22
A ladder 15 m long leans against a vertical pole, making an angle of 72º with the horizontal. Calculate, correct to one decimal place, the distance between the foot of the ladder and the pole.
Відповідь
(D)
4.6 m
23

In the diagram above, O is the centre of the circle. If | $\overline{OA}$ = 25 cm and |$\overline{AB}$ = 40 cm, find |$\overline{OH}$|
Відповідь
(A)
15 cm
24
A car valued at $ 600,000.00 depreciates by 10% each year. What will be the value of the car at the end of two years?
Відповідь
(C)
$ 486,000.00
25
Given that P is 25 m on a bearing of 330º from Q, how far south of P is Q?
Відповідь
(B)
21.7 m
26
The length and breadth of a cuboid are 15 cm and 8 cm respectively. If the volume of the cuboid is 1560 cm$^3$, calculate the total surface area.
Відповідь
(B)
838cm$^2$
27
The number 1621 was subtracted from 6244 in base x. If the result was 4323, find x.
Відповідь
(A)
Seven
28
Factorize completely: 27x$^2$ - 48y$^2$
Відповідь
(A)
3(3x + 4y)(3x - 4y)
29
For what values of x is $\frac{x - 3}{4}$ + $\frac{x + 1}{8}$ $\geq$ 2 ?
Відповідь
(C)
x $\geq$ 7
30

In the diagram above, < SQR = 52º and < PRT = 16º. Find the value of the angle marked y
Відповідь
(C)
112$^0$
31

In the diagram above, JKL is a tangent to the circle GHIK at K.
Відповідь
(B)
55º
32
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?
Відповідь
(B)
4: 3
33

Find, correct to the nearest whole number, the value of h in the diagram above.
Відповідь
(C)
23 m
34
The gradient of the line joining the points P(2, -8) and Q(1, y) is -4. Find the value of y
Відповідь
(C)
-4
35

In the diagram above, $\overline{PQ}$ || $\overline{RS}$, $\angle$WYZ = 44º and $\angle$WXY = 50º. Find $\angle$WTX
Відповідь
(C)
86º
36
The perimeter of a rectangular garden is 90 m. If the width is 7 m less than the length, find the length of the garden.
Відповідь
(D)
26 m
37
Four of the angles of a hexagon sum up to 420º. If the remaining angles are equal, find the value of each of the angles.
Відповідь
(D)
150$^O$
38

Find the value of x in the diagram above.
Відповідь
(A)
120º
39
The following are the masses (in kg) of members in a club: 59, 44, 53, 49, 57, 40, 48, and 50. Calculate the mean mass.
Відповідь
(B)
50 kg
40
The following are the masses (in kg) of members in a club: 59, 44, 53, 49, 57, 40, 48, and 50. Calculate the variance of the distribution.
Відповідь
(A)
35
41
Two opposite sides of a rectangle are (5x + 3) m and (2x + 9) m. If an adjacent side is (6x - 7) m, find in m$^2$, the area of the rectangle.
Відповідь
(B)
65
42
A die is tossed once. Find the probability of getting a prime number.
Відповідь
(A)
$\frac{1}{2}$
43
The area of a sector of a circle with radius 7cm is 51.3 cm$^2$. Calculate, correct to the nearest whole number, the angle of the sector. (Take $\pi$ = $\frac{22}{7}$)
Відповідь
(B)
120$^0$
44
A cliff on the bank of a river 87 m high. A boat on the river is 22 m away from the cliff. Calculate, correct to the nearest degree, the angle of depression of the boat from the top of the cliff.
Відповідь
(A)
76$^o$
45

In the diagram $\overline{TU}$ is a tangent to the circle SPQR at P. If $\angle$PTS = 44º, $\angle$SQP = 35º, find $\angle$PST
Відповідь
(A)
101º