WAEC - Mathematics (2013)

1
Multiply 2.7 x 10^-4 by 6.3 x 10⁶ and leave your answers in standard form
Trả lời
(C)
1.701 x 10³
2
If 9^{(2 - x)} = 3, find x
Trả lời
(B)
\(\frac{3}{2}\)
3
In what number base is the addition 465 + 24 + 225 = 1050?
Trả lời
(D)
seven
4
Simplify \(\frac{1\frac{7}{8} \times 2\frac{2}{5}}{6\frac{3}{4} \div \frac{3}{4}}\)
Trả lời
(D)
\(\frac{1}{2}\)
5
If Un = n(n² + 1), evaluate U5 - U4
Trả lời
(C)
62
6
If \(\sqrt{50} - K\sqrt{8} = \frac{2}{\sqrt{2}}\), find K
Trả lời
(D)
2
7
A sales boy gave a change of N68 instead of N72. Calculate his percentage error
Trả lời
(B)
5\(\frac{5}{9}\)%
8
Four oranges sell for Nx and three mangoes sell for Ny. Olu bought 24 oranges and 12 mangoes. How much did he pay in terms of x and y?
Trả lời
(B)
N(6x + 4y)
9
Simplify: \(\frac{x^2 - y^2}{(x + y)^2} \div \frac{(x - y)^2}{(3x + 3y)}\)
Trả lời
(C)
\(\frac{3}{x - y}\)
10
Solve the inequality: \(\frac{2x - 5}{2} < (2 - x)\)
Trả lời
(D)
x < 2\(\frac{1}{4}\)
11
If x = 64 and y = 27, evaluate: \(\frac{x^{\frac{1}{2}} - y^{\frac{1}{3}}}{y - x^{\frac{2}{3}}}\)
Trả lời
(C)
\(\frac{5}{11}\)
12
If \(\frac{1}{2}\)x + 2y = 3 and \(\frac{3}{2}\)x - 2y = 1, find (x + y)
Trả lời
(A)
3
13
Given that \(p^{\frac{1}{3}}\) = \(\frac{\sqrt[3]{q}}{r}\), make q the subject of the equation
Trả lời
(C)
q = pr³
14
A chord is 2cm from the centre of a circle. If the radius of the circle is 5cm, find the length of the chord
Trả lời
(A)
2\(\sqrt{21}\)cm
15
A cube and cuboid have the same base area. The volume of the cube is 64cm\(^3\) while that of the cuboid is 80cm\(^3\). Find the height of the cuboid
Trả lời
(C)
5cm
16
If sin x = \(\frac{5}{13}\) and 0^o \(\leq\) x \(\leq\) 90^o, find the value of (cos x - tan x)
Trả lời
(C)
\(\frac{79}{156}\)
17
An object is 6m away from the base of a mast. The angle of depression of the object from the top pf the mast is 50^o, Find, correct to 2 decimal places, the height of the mast
Trả lời
(C)
7.15m
18
The bearing of Y from X is 060º and the bearing of Z from Y = 060º. Find the bearing of X from Z
Trả lời
(B)
240^o
19
Which of the following is not a probability of Mary scoring 85% in a mathematics test?
Trả lời
(D)
1.01
20
If 2 log x (3\(\frac{3}{8}\)) = 6, find the value of x
Trả lời
(A)
\(\frac{3}{2}\)
21
If p = (y : 2y \(\geq\) 6) and Q = (y : y -3 \(\leq\) 4), where y is an integer, find p\(\cap\)Q
Trả lời
(C)
{3, 4, 5, 6, 7}
22
Find the values of k in the equation 6k² = 5k + 6
Trả lời
(B)
{\(\frac{-2}{3}, \frac{3}{2}\)}
23
If y varies directly as the square root of (x + 1) and y = 6 when x = 3, find x when y = 9
Trả lời
(A)
8
24
The graph of the relation y = x2 + 2x + k passes through the point (2, 0). Find the values of k
Trả lời
(D)
-8
25
What is the locus of the point X which moves relative to two fixed points P and M on a plane such that < PXM = 30^o
Trả lời
(B)
an arc of a circle with PM as a chord
26
When a number is subtracted from 2, the result equals 4 less than one-fifth of the number. Find the number
Trả lời
(C)
5
27
Express \(\frac{2}{x + 3} - \frac{1}{x - 2}\) as a simple fraction
Trả lời
(A)
\(\frac{x - 7}{x^2 + x - 6}\)
28
An interior angle of a regular polygon is 5 times each exterior angle. How many sides has the polygon?
Trả lời
(B)
12
29
Given that P = x² + 4x - 2, Q = 2x - 1 and Q - p = 2, find x
Trả lời
(B)
-1
30
A pyramid has a rectangular base with dimensions 12m by 8m. If its height is 14m, calculate the volume
Trả lời
(B)
448m³
31
The slant height of a cone is 5cm and the radius of its base is 3cm. Find, correct to the nearest whole number, the volume of the cone. ( Take \(\pi = \frac{22}{7}\))
Trả lời
(C)
38cm³
32
The distance between two towns is 50km. It is represented on a map by 5cm. Find the scale used
Trả lời
(A)
1: 1,000,000
33
Given that (x + 2)(x2 - 3x + 2) + 2(x + 2)(x - 1) = (x + 2) M, find M
Trả lời
(D)
x² - x
34
An open cone with base radius 28cm and perpendicular height 96cm was stretched to form sector of a circle. calculate the arc of the sector (Take \(\pi = \frac{22}{7}\))
Trả lời
(A)
8800cm²
35

In the diagram, PRST is a square. If |PQ| = 24cm. |QR| = 10cm and < PQR = 90o, find the perimeter of the polygon PQRST.
Trả lời
(A)
112cm
36
in the diagram, the height of a flagpole |TF| and the length of its shadow |FL| re in the ratio 6:8. Using k as a constant of proportionality, find the shortest distance between T and L
Trả lời
(B)
10K units
37
In the diagrams, |XZ| = |MN|, |ZY| = |MO| and |XY| = |NO|. Which of the following statements is true?
Trả lời
(D)
\(\bigtriangleup\) XYZ= \(\bigtriangleup\) NOM
38

In the diagram, PQRS is a rhombus and < PSQ = 35º. Calculate the size of < PRQ
Trả lời
(B)
55^o
39
Find the value of m in the diagram
Trả lời
(D)
17^o
40

In the diagram, O is the centre of the circle. OM||XZ and < ZOM = 25º. Calculate ∠XYZ
Trả lời
(D)
65^o
41

Using the histogram, estimate the mode of distribution
Trả lời
(C)
53.5
42

Using the histogram, what is the median class?
Trả lời
(C)
40.5 - 50.5
43

The pie chart shows the distribution of 600 mathematics textbooks for Arts, Business, Science and Technical Classes. How many textbooks are for the technical class?
Trả lời
(D)
250
44

The pie chart shows the distribution of 600 mathematics textbooks for Arts, Business, Science and Technical Classes. What percentage of the total number of textbooks belongs to science?
Trả lời
(A)
12\(\frac{1}{2}\)%
45
In the diagram, PQRST is a regular polygon with sides QR and TS produced to meet at V. Find the size of < RVS
Trả lời
(A)
36^o