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WAEC - Mathematics (2010)

1
Simplify 0.000215 x 0.000028 and express your answer in standard form
Answer
(D)
6.02 x 10-9
2
Factorize: x + y - ax = ay
Answer
(C)
(x + y)(1 - a)
3
A car uses one litre of petrol for every 14km. If one of petrol cost N63.00, how far can the car go with N900.00 worth of petrol?
Answer
(D)
200km
4
Correct 0.002473 to 3 significant figure
Answer
(C)
0.00247
5
Simplify 1\(\frac{1}{2} + 2\frac{1}{3} \times \frac{3}{4} - \frac{1}{2}\)
Answer
(D)
2\(\frac{3}{4}\)
6
The sum of 2 consecutive whole numbers is \(\frac{5}{6}\) of their product, find the numbers
Answer
(C)
2, 3
7
A casting is made up of Copper and Zinc. If 65% of the casting is Zinc and there are 147g of Copper. What is the mass of the casting?
Answer
(B)
420g
8
Given that P = {x : 1 \(\leq x \leq 6\)}, and Q = {x : 2 \(\leq x \leq 10\)} where x is an integer. Find n(P \(\cap\) Q)
Answer
(A)
5
9
The sum of 6 and one-third of x is one more than twice x, find x
Answer
(C)
x = 3
10
Given that = {x: -2 < x \(\leq\) 9}, where x is an integer what is n(T)?
Answer
(C)
11
11
Solve the inequality: 3(x + 1) \(\leq\) 5(x + 2) + 15
Answer
(C)
x \(\geq\) -11
12
An empty rectangular tank is 250cm long and 120cm wide. If 180 litres of water is poured into the tank. Calculate the height of the water
Answer
(A)
6.0cm
13
Given that \(\frac{5^{n +3}}{25^{2n -3}}\) = 5º, find n
Answer
(C)
n = 3
14
\(\begin{array}{c|c} \text{No. of pets} & 0 & 1 & 2 & 3 & 4 \\ \hline \text{No. of students} & 8 & 4 & 5 & 10 & 3\end{array}\) The table shows the number of pets kept by 30 students in a class. If a student is picked at random ftom the class. What is the probability that he/she kept more than one pet?
Answer
(C)
\(\frac{3}{5}\)
15
Simplify 2\(\sqrt{3}\) - \(\frac{6}{\sqrt{3}} + \frac{3}{\sqrt{27}}\)
Answer
(B)
\(\frac{1}{3}\sqrt{3}\)
16
If sin 3y = cos 2y and 0o \(\leq\) 90o, find the value of y
Answer
(A)
18o
17
A rectangle has length xcm and width (x - 1)cm. If the perimeter is 16cm. Find the value of x
Answer
(C)
4\(\frac{1}{2}\)cm
18
Given that tan x = 1, where 0o \(\geq\) x 90o, evaluate \(\frac{1 - \sin^2 x}{\cos x}\)
Answer
(C)
\(\frac{\sqrt{2}}{2}\)
19
What is the length of a rectangular garden whose perimeter is 32cm and area 39cm2?
Answer
(C)
13cm
20
Simplify \(\frac{2}{2 + x} + \frac{2}{2 - x}\)
Answer
(B)
\(\frac{8}{4 - x^2}\)
21
The sum of the exterior of an n-sided convex polygon is half the sum of its interior angle. find n
Answer
(A)
6
22
If y = \(\frac{(2\sqrt{x^2 + m})}{3N}\), make x the subject of the formular
Answer
(B)
\(\frac{\sqrt{9y^2 N^2 - 4m}}{2}\)
23
The nth term of the sequence -2, 4, -8, 16.... is given by
Answer
(B)
Tn = (-2)n
24
How many times, correct to the nearest whole number, will a man run round circular track of diameter 100m to cover a distance of 1000m?
Answer
(A)
3
25
Bola sold an article for N6,900.00 and made a profit of 15%. If he sold it for N6,600.00 he would make a
Answer
(C)
loss of 10%
26
The mean age of R men in a club is 50 years, Two men aged 55 and 63, left the club and the mean age reduced by 1 year. Find the value of R
Answer
(B)
20
27
\(\begin{array}{c|c} x & 0 & 2 & 4 & 6\\ \hline y & 1 & 2 & 3 & 4\end{array}\).
The table is for the relation y = mx + c where m and c are constants. What is the equation of the line described in the tablet?
Answer
(D)
y = \(\frac{1}{2}x + 1\)
28

What is the value of x when y = 5?

y = \(\frac{1}{2}\) x + 1

Answer
(A)
8
29
The subtraction below is in base seven. Find the missing number.
5 1 6 2seven
-2 6 4 4seven
--------
2 * 1 5
--------
Answer
(A)
2
30
If the sum of the roots of the equation (x - p)(2x + 1) = 0 is 1, find the value of x
Answer
(A)
1\(\frac{1}{2}\)
31
If x2 + kx + \(\frac{16}{9}\) is a perfect square, find the value of k
Answer
(A)
\(\frac{8}{3}\)
32
If x km/h = y m/s, then y =
Answer
(D)
\(\frac{5}{18}\)x
33
The mean of the numbers 2, 5, 2x and 7 is less than or equal to 5. Find the range of the values of x
Answer
(A)
x \(\leq\) 3
34
In an athletic composition, the probability that an athlete wins a 100m race is \(\frac{1}{8}\) and the probability that he wins in high jump is \(\frac{1}{4}\). What is the probability that he wins only one of the events?
Answer
(D)
\(\frac{5}{16}\)
35
In the diagram, < PSR = 220o, < SPQ = 58o and < PQR = 41o. Calculate the obtuse angle QRS.
Answer
(C)
121o
36
The bar chart shows the marks distribution in am English test. If 50% is the pass mark, how many students passed the test?
Answer
(B)
85
37
The bar chart shows the marks distribution in am English test. What percentage of the students had marks ranging from 35 to 50?
Answer
(D)
66\(\frac{2}{3}\)%
38
What is the value of m in the diagram?
Answer
(B)
30o
39
In the diagram, QR//ST, /PQ/ = /PR/ and < PST = 75o. Find the value of y
Answer
(A)
105o
40
In the diagram, triangles HKL and HIJ are similar. Which of the following ratios is equal to \(\frac{LH}{JH}\)
Answer
(A)
\(\frac{KL}{JI}\)
41
In the diagram, < ROS = 66o and < POQ = 3x. some construction lines are shown. Calculate the value of x.
Answer
(B)
11o
42
In the diagram, the tangent MN makes an angle of 55o with the chord PS. IF O is the centre of the circle, find < RPS
Answer
(C)
35o
43
In the diagram, O is the centre of the circle, < SQR = 60o, < SPR = y and < SOR = 3x. Find the value of (x + y)
Answer
(B)
100o
44
The shaded portion in the diagram is the solution of
Answer
(B)
x + y < 3
45
In the diagram, GI is a tangent to the circle at H. If EF//GI, calculate the size of < EHF
Answer
(B)
72o