WAEC - Mathematics (2016)

1
If 23_x + 101_x = 130_x, find the value of x
คำตอบ
(D)
4
2
Simplify: (\(\frac{3}{4} - \frac{2}{3}\)) x 1\(\frac{1}{5}\)
คำตอบ
(C)
\(\frac{1}{10}\)
3
Simplify:(\(\frac{10\sqrt{3}}{\sqrt{5}} - \sqrt{15}\))²
คำตอบ
(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?
คำตอบ
(C)
180cm
5
Which of following is a valid conclusion from the premise. "Nigeria footballers are good footballers"?
คำตอบ
(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.
คำตอบ
(B)
4cm²
7
Simplify; \(\frac{3^{n - 1} \times 27^{n + 1}}{81^{n}}\)
คำตอบ
(B)
9
8
What sum of money will amount to D10,400 in 5 years at 6% simple interest?
คำตอบ
(A)
D8,000.00
9
The roots of a quadratic equation are \(\frac{4}{3}\) and -\(\frac{3}{7}\). Find the equation
คำตอบ
(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
คำตอบ
(C)
3, -7
11
Given that 2x + y = 7 and 3x - 2y = 3, by how much is 7x greater than 10?
คำตอบ
(C)
7
12
Simplify; \(\frac{2}{1 - x} - \frac{1}{x}\)
คำตอบ
(B)
\(\frac{3x - 1}{ x(1 - x)}\)
13
Make s the subject of the relation: P = S + \(\frac{sm^2}{nr}\)
คำตอบ
(D)
s = \(\frac{nrp}{nr + m^2}\)
14
Factorize; (2x + 3y)² - (x - 4y)²
คำตอบ
(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 \(\pi = \frac{22}{7}\)]
คำตอบ
(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
คำตอบ
(A)
3
17
A straight line passes through the points P(1,2) and Q(5,8). Calculate the gradient of the line PQ
คำตอบ
(C)
\(\frac{3}{2}\)
18
A straight line passes through the point P(1,2) and Q
(5,8). Calculate the length PQ
คำตอบ
(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 \(\theta\)
คำตอบ
(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?
คำตอบ
(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
คำตอบ
(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.
คำตอบ
(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
คำตอบ
(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.
คำตอบ
(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?
คำตอบ
(C)
7.5m
26
In the diagram, TS is a tangent to the circle at S. |PR| and < PQR = 177^o. Calculate < PST.
คำตอบ
(A)
54^o
27
In the diagram, PR||SV||WY|, TX||QY|, < PQT = 48^o and < TXW = 60^o.Find < TQU.
คำตอบ
(C)
72^o
28
In the diagram, TX is perpendicular to UW, |UX| = 1cm and |TX| = |WX| = \(\sqrt{3}\)cm. Find UTW
คำตอบ
(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?
คำตอบ
(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?
คำตอบ
(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
คำตอบ
(C)
13
32
If log₂(3x - 1) = 5, find x.
คำตอบ
(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
คำตอบ
(C)
3
34
Express 1975 correct to 2 significant figures
คำตอบ
(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.
คำตอบ
(C)
81cm²
36
The perimeter of a sector of a circle of radius 21cm is 64cm. Find the angle of the sector [Take \(\pi = \frac{22}{7}\)]
คำตอบ
(B)
60^o
37
Examine M' \(\cap\) N from the venn diagram
คำตอบ
(A)
{f, g}
38
If 20(mod 9) is equivalent to y(mod 6), find y.
คำตอบ
(B)
2
39
Simplify \(\frac{(p - r)^2 - r^2}{2p^2 - 4pr}\)
คำตอบ
(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
คำตอบ
(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
คำตอบ
(C)
\(\frac{20}{81}\)
42
The relation y = x² + 2x + k passes through the point (2,0). Find the value of k
คำตอบ
(A)
- 8
43
Find the next three terms of the sequence; 0, 1, 1, 2, 3, 5, 8...
คำตอบ
(D)
13, 21, 34
44
Find the lower quartile of the distribution illustrated by the cumulative frequency curve
คำตอบ
(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?
คำตอบ
(B)
24