WAEC - Mathematics (2010)

1
Simplify 0.000215 x 0.000028 and express your answer in standard form
Хариулт
(D)
6.02 x 10^-9
2
Factorize: x + y - ax = ay
Хариулт
(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?
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(D)
200km
4
Correct 0.002473 to 3 significant figure
Хариулт
(C)
0.00247
5
Simplify 1\(\frac{1}{2} + 2\frac{1}{3} \times \frac{3}{4} - \frac{1}{2}\)
Хариулт
(D)
2\(\frac{3}{4}\)
6
The sum of 2 consecutive whole numbers is \(\frac{5}{6}\) of their product, find the numbers
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(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?
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(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)
Хариулт
(A)
5
9
The sum of 6 and one-third of x is one more than twice x, find x
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(C)
x = 3
10
Given that = {x: -2 < x \(\leq\) 9}, where x is an integer what is n(T)?
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(C)
11
11
Solve the inequality: 3(x + 1) \(\leq\) 5(x + 2) + 15
Хариулт
(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
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(A)
6.0cm
13
Given that \(\frac{5^{n +3}}{25^{2n -3}}\) = 5º, find n
Хариулт
(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?
Хариулт
(C)
\(\frac{3}{5}\)
15
Simplify 2\(\sqrt{3}\) - \(\frac{6}{\sqrt{3}} + \frac{3}{\sqrt{27}}\)
Хариулт
(B)
\(\frac{1}{3}\sqrt{3}\)
16
If sin 3y = cos 2y and 0^o \(\leq\) 90^o, find the value of y
Хариулт
(A)
18^o
17
A rectangle has length xcm and width (x - 1)cm. If the perimeter is 16cm. Find the value of x
Хариулт
(C)
4\(\frac{1}{2}\)cm
18
Given that tan x = 1, where 0^o \(\geq\) x 90^o, evaluate \(\frac{1 - \sin^2 x}{\cos x}\)
Хариулт
(C)
\(\frac{\sqrt{2}}{2}\)
19
What is the length of a rectangular garden whose perimeter is 32cm and area 39cm²?
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(C)
13cm
20
Simplify \(\frac{2}{2 + x} + \frac{2}{2 - x}\)
Хариулт
(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
Хариулт
(A)
6
22
If y = \(\frac{(2\sqrt{x^2 + m})}{3N}\), make x the subject of the formular
Хариулт
(B)
\(\frac{\sqrt{9y^2 N^2 - 4m}}{2}\)
23
The nth term of the sequence -2, 4, -8, 16.... is given by
Хариулт
(B)
T_n = (-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?
Хариулт
(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
Хариулт
(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
Хариулт
(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?
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(D)
y = \(\frac{1}{2}x + 1\)
28
What is the value of x when y = 5?

y = \(\frac{1}{2}\) x + 1
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(A)
8
29
The subtraction below is in base seven. Find the missing number.
5 1 6 2_seven
-2 6 4 4_seven
--------
2 * 1 5
--------
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(A)
2
30
If the sum of the roots of the equation (x - p)(2x + 1) = 0 is 1, find the value of x
Хариулт
(A)
1\(\frac{1}{2}\)
31
If x2 + kx + \(\frac{16}{9}\) is a perfect square, find the value of k
Хариулт
(A)
\(\frac{8}{3}\)
32
If x km/h = y m/s, then y =
Хариулт
(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
Хариулт
(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?
Хариулт
(D)
\(\frac{5}{16}\)
35
In the diagram, < PSR = 220^o, < SPQ = 58^o and < PQR = 41^o. Calculate the obtuse angle QRS.
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(C)
121^o
36
The bar chart shows the marks distribution in am English test. If 50% is the pass mark, how many students passed the test?
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(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?
Хариулт
(D)
66\(\frac{2}{3}\)%
38
What is the value of m in the diagram?
Хариулт
(B)
30^o
39
In the diagram, QR//ST, /PQ/ = /PR/ and < PST = 75^o. Find the value of y
Хариулт
(A)
105^o
40
In the diagram, triangles HKL and HIJ are similar. Which of the following ratios is equal to \(\frac{LH}{JH}\)
Хариулт
(A)
\(\frac{KL}{JI}\)
41
In the diagram, < ROS = 66^o and < POQ = 3x. some construction lines are shown. Calculate the value of x.
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(B)
11^o
42
In the diagram, the tangent MN makes an angle of 55^o with the chord PS. IF O is the centre of the circle, find < RPS
Хариулт
(C)
35^o
43
In the diagram, O is the centre of the circle, < SQR = 60^o, < SPR = y and < SOR = 3x. Find the value of (x + y)
Хариулт
(B)
100^o
44
The shaded portion in the diagram is the solution of
Хариулт
(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
Хариулт
(B)
72^o