WAEC - Mathematics (2016)

1
If 23_x + 101_x = 130_x, find the value of x
Відповідь
(D)
4
2
Simplify: (\(\frac{3}{4} - \frac{2}{3}\)) x 1\(\frac{1}{5}\)
Відповідь
(C)
\(\frac{1}{10}\)
3
Simplify:(\(\frac{10\sqrt{3}}{\sqrt{5}} - \sqrt{15}\))²
Відповідь
(B)
15.00
4
The distance, d, through which a stone falls from rest varies directly as the square of the time, t, taken. If the stone falls 45cm in 3 seconds, how far will it fall in 6 seconds?
Відповідь
(C)
180cm
5
Which of following is a valid conclusion from the premise. "Nigeria footballers are good footballers"?
Відповідь
(C)
Joseph is a Nigerian footballer therefore he is a good footballer
6
On a map, 1cm represent 5km. Find the area on the map that represents 100km².
Відповідь
(B)
4cm²
7
Simplify; \(\frac{3^{n - 1} \times 27^{n + 1}}{81^{n}}\)
Відповідь
(B)
9
8
What sum of money will amount to D10,400 in 5 years at 6% simple interest?
Відповідь
(A)
D8,000.00
9
The roots of a quadratic equation are \(\frac{4}{3}\) and -\(\frac{3}{7}\). Find the equation
Відповідь
(A)
21x² - 19x - 12 = 0
10
Find the values of y for which the expression \(\frac{y^2 - 9y + 18}{y^2 + 4y - 21}\) is undefined
Відповідь
(C)
3, -7
11
Given that 2x + y = 7 and 3x - 2y = 3, by how much is 7x greater than 10?
Відповідь
(C)
7
12
Simplify; \(\frac{2}{1 - x} - \frac{1}{x}\)
Відповідь
(B)
\(\frac{3x - 1}{ x(1 - x)}\)
13
Make s the subject of the relation: P = S + \(\frac{sm^2}{nr}\)
Відповідь
(D)
s = \(\frac{nrp}{nr + m^2}\)
14
Factorize; (2x + 3y)² - (x - 4y)²
Відповідь
(A)
(3x - y)(x + 7y)
15
The curve surface area of a cylinder, 5cm high is 110cm ². Find the radius of its base. [Take \(\pi = \frac{22}{7}\)]
Відповідь
(B)
3.5cm
16
The volume of a pyramid with height 15cm is 90cm³. If its base is a rectangle with dimension xcm by 6cm, find the value of x
Відповідь
(A)
3
17
A straight line passes through the points P(1,2) and Q(5,8). Calculate the gradient of the line PQ
Відповідь
(C)
\(\frac{3}{2}\)
18
A straight line passes through the point P(1,2) and Q
(5,8). Calculate the length PQ
Відповідь
(D)
\(2\sqrt{13}\)
19
If cos \(\theta\) = x and sin 60^o = x + 0.5 0^o < \(\theta\) < 90^o, find, correct to the nearest degree, the value of \(\theta\)
Відповідь
(D)
69^o
20
\(\begin{array}{c|c}
Age(years) & 13 & 14 & 15 & 16 & 17 \\
\hline
Frequency & 10 & 24 & 8 & 5 & 3
\end{array}\)

The table shows the ages of students in a club. How many students are in the club?
Відповідь
(A)
50
21
\(\begin{array}{c|c}
Age(years) & 13 & 14 & 15 & 16 & 17 \\
\hline
Frequency & 10 & 24 & 8 & 5 & 3
\end{array}\)
Find the median age
Відповідь
(B)
14
22

In the diagram, \(\bar{YW}\) is a tangent to the circle at X, |UV| = |VX| and < VXW = 50º. Find the value of < UXY.
Відповідь
(B)
80^o
23
In the diagram, \(\bar{PF}\), \(\bar{QT}\), \(\bar{RG}\) intersect at S and PG||RG. If < SPQ = 113^o and < RSt = 220, find < PSQ
Відповідь
(B)
45^o
24
In the diagram, O is the centre of the circle, < XOZ = (10cm)^o and < XWZ = m^o. Calculate the value of m.
Відповідь
(A)
30
25
Kweku walked 8m up to slope and was 3m above the ground. If he walks 12m further up the slope, how far above the ground will he be?
Відповідь
(C)
7.5m
26
In the diagram, TS is a tangent to the circle at S. |PR| and < PQR = 177^o. Calculate < PST.
Відповідь
(A)
54^o
27
In the diagram, PR||SV||WY|, TX||QY|, < PQT = 48^o and < TXW = 60^o.Find < TQU.
Відповідь
(C)
72^o
28
In the diagram, TX is perpendicular to UW, |UX| = 1cm and |TX| = |WX| = \(\sqrt{3}\)cm. Find UTW
Відповідь
(C)
75^o
29
The figure is a pie chart which represents the expenditure of a family in a year. If the total income of the family was Le 10,800,000.00, how much was spent on food?
Відповідь
(C)
Le 3,600,000.00
30
A fair die is thrown two times. What is the probability that the sum of the scores is at least 10?
Відповідь
(B)
\(\frac{1}{6}\)
31
The marks of eight students in a test are: 3, 10, 4, 5, 14, 13, 16 and 7. Find the range
Відповідь
(C)
13
32
If log₂(3x - 1) = 5, find x.
Відповідь
(D)
11
33
A sphere of radius rcm has the same volume as cylinder of radius 3cm and height 4cm. Find the value of r
Відповідь
(C)
3
34
Express 1975 correct to 2 significant figures
Відповідь
(D)
2,000
35
The diagram, MOPQ is a trapezium with QP||MO, MQ||NP, NQ||OP, |QP| = 9cm and the height of \(\Delta\) QNP = 6cm, calculate the area of the trapezium.
Відповідь
(C)
81cm²
36
The perimeter of a sector of a circle of radius 21cm is 64cm. Find the angle of the sector [Take \(\pi = \frac{22}{7}\)]
Відповідь
(B)
60^o
37
Examine M' \(\cap\) N from the venn diagram
Відповідь
(A)
{f, g}
38
If 20(mod 9) is equivalent to y(mod 6), find y.
Відповідь
(B)
2
39
Simplify \(\frac{(p - r)^2 - r^2}{2p^2 - 4pr}\)
Відповідь
(A)
\(\frac{1}{2}\)
40
In the diagram, O is the centre of the circle, < QPS = 100^o, < PSQ = 60^o and < QSR. Calculate < SQR
Відповідь
(A)
20^o
41
A bag contains 5 red and 4 blue identical balls. Id two balls are selected at random from the bag, one after the other, with replacement, find the probability that the first is red and the second is blue
Відповідь
(C)
\(\frac{20}{81}\)
42
The relation y = x² + 2x + k passes through the point (2,0). Find the value of k
Відповідь
(A)
- 8
43
Find the next three terms of the sequence; 0, 1, 1, 2, 3, 5, 8...
Відповідь
(D)
13, 21, 34
44
Find the lower quartile of the distribution illustrated by the cumulative frequency curve
Відповідь
(B)
19.0
45
The ratio of the exterior angle to the interior angle of a regular polygon is 1:11. How many sides has the polygon?
Відповідь
(B)
24