WAEC - Mathematics (2016)

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