WAEC - Mathematics (2024)

1
Multiply 3.4 x 10$^{-5}$ by 7.1 x 10$^8$ and leave the answer in standard form.
پاسخ دهید
(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
پاسخ دهید
(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.?
پاسخ دهید
(C)
10
4
Express in index form: log$_a^x$ + log$_a^y$ = 3
پاسخ دهید
(C)
xy = a$^3$
5
Simplify: (2p - q)$^2$ - (p + q)$^2$
پاسخ دهید
(A)
3p(p - 2q)
6
If (3 - 4$\sqrt{2}$)(1 + 3$\sqrt{2}$) = a + b$\sqrt{2}$, find the value of b
پاسخ دهید
(B)
5
7
Find the sum for which $ 1,250.00 will amount to $ 2,031.25 at 12.5% per annum simple interest.
پاسخ دهید
(D)
5 years
8
If log$_3^{2x - 1}$ = 5, find the value of x
پاسخ دهید
(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.
پاسخ دهید
(B)
3,278
10
A trader gave a change of # 540.00 instead of # 570.00 to a customer. Caculate the percentage error.
پاسخ دهید
(A)
5$\frac{5}{19}$%
11
The interior angle of a regular polygon is 168º. Find the number of sides of the polygon.
پاسخ دهید
(B)
30
12
If 3x - 2y = - 5 and x + 2y = 9, find the value of $\frac{x - y}{x + y}$
پاسخ دهید
(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?
پاسخ دهید
(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 = $\frac{22}{7}$)
پاسخ دهید
(C)
4.0 m$^2$
15
Make R the subject of the relation V = πl(R$^2$ - r$^2$)
پاسخ دهید
(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?
پاسخ دهید
(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.
پاسخ دهید
(D)
6
18
Gifty, Justina, and Frank shared 60 oranges in the ratio 5: 3: 7 respectively. How many oranges did Justina receive?
پاسخ دهید
(B)
12
19
Find the quadratic equation whose roots are $\frac{2}{3}$ and - 1
پاسخ دهید
(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.
پاسخ دهید
(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
پاسخ دهید
(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.
پاسخ دهید
(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 |$\overline{OH}$|
پاسخ دهید
(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?
پاسخ دهید
(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?
پاسخ دهید
(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.
پاسخ دهید
(B)
838cm$^2$
27
The number 1621 was subtracted from 6244 in base x. If the result was 4323, find x.
پاسخ دهید
(A)
Seven
28
Factorize completely: 27x$^2$ - 48y$^2$
پاسخ دهید
(A)
3(3x + 4y)(3x - 4y)
29
For what values of x is $\frac{x - 3}{4}$ + $\frac{x + 1}{8}$ $\geq$ 2 ?
پاسخ دهید
(C)
x $\geq$ 7
30

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

In the diagram above, JKL is a tangent to the circle GHIK at K.
پاسخ دهید
(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?
پاسخ دهید
(B)
4: 3
33

Find, correct to the nearest whole number, the value of h in the diagram above.
پاسخ دهید
(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
پاسخ دهید
(C)
-4
35

In the diagram above, $\overline{PQ}$ || $\overline{RS}$, $\angle$WYZ = 44º and $\angle$WXY = 50º. Find $\angle$WTX
پاسخ دهید
(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.
پاسخ دهید
(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.
پاسخ دهید
(D)
150$^O$
38

Find the value of x in the diagram above.
پاسخ دهید
(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.
پاسخ دهید
(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.
پاسخ دهید
(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.
پاسخ دهید
(B)
65
42
A die is tossed once. Find the probability of getting a prime number.
پاسخ دهید
(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 $\pi$ = $\frac{22}{7}$)
پاسخ دهید
(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.
پاسخ دهید
(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
پاسخ دهید
(A)
101º