1.
Choose the word that best completes the sentence:
The famous singer and composer ________ arrived.
2.
The data below shows the distribution of workers in a certain secondary school.
Teacher 30 Gardeners 15
Typists 9 Cleaners 6
Clerks 12 Messengers 3
If one of the workers is on leave, the probability that he is either a teacher or a gardener is
3.
Two cities London and Lagos are on latitude 60°N and their longitudes are 17°W and 28°E respectively.
If R = 6,370 km and π = 22/7, the distance between London and Lagos, measured along the parallel of latitude is
4.
The surface area of a sphere of radius 3.5 cm is
take (π = 22/7)
5.
Evaluate
110102 - 110112 + 100112
6.
If X% of 240 equals 12, find X
7.
Which of the following lines is perpendicular to the line 5x + 2y = 6?
8.
Tara received a cash gift from her parents on her 10th birthday.
On each succeeding birthday, she received twice the amount received in the previous year.
If she had received a total of £31,500 by the time she was 15, the cash gift for her 12th birthday was
9.
If the mean of the numbers 6, 8, 10, x, 2x - 2 is 14. What is the largest number in the group?
10.
A sum of money invested at a simple interest rate 'Z' increases to 5/3 times the original sum after 5 years.
What is the value of 'Z'?
11.
A bucket in the form of a truncated cone of end radii 14cm and 21cm, and height of 30cm.
What is the capacity of the bucket?
12.
If Sin θ = -0.6 and Tan θ > 0,
then Sec θ is equal to
13.
The prime factors of 1260 are
14.
Four of the interior angles of a pentagon are equal and each is twice the fifth angle.
What is the value of each of the four equal angles?
15.
If the point (m, -n) lies in the second quadrant, which of the following is true?
16.
If two triangles are similar, then
I. the corresponding angles are similar
II. the areas of the triangles are in the same ratio as the lengths of the corresponding sides.
III. the triangles are congruent.
IV. the corresponding sides are proportional.
Which of the above statements are CORRECT?
17.
The ratio of the sides of two similar rectangular blocks is 5 : 3.
If the volume of the smaller block is 324 cm³,
that of the other block is
18.
Two men and six boys can cut a field in 3 hours.
If the men work at 3/2 times that of the boys, how many men are required to cut the field in 2 hours?
20.
When the price of eggs was raised by £2 an egg, the number of eggs which can be bought by Tara for £120 is reduced by 5.
What is the present price that Tara would buy an egg?
21.
Choose the word that best completes the sentence:
He wasn`t particularly good. He was of about ________ ability.
22.
The angle of elevation of the top of a tower from an observer on the ground is 60°.
If the top of the tower is 100 m away from the observer,
how high is the tower?
23.
The variance for the set of numbers 3, 6, 9, 12, 15 is
24.
Correct each of the numbers 38.7152 and 0.05381 to two significant figures and find their product , correct to two significant figures.
25.
If x² - 5x + 6 = (x-a)² + b,
what is the value of b?
26.
Choose the word that best completes the sentence:
The creator and distributor of the software ______ Energesix Ltd.
27.
A box contains purple, green and yellow balls in the ratio 8 : 3 : 2.
There are 10 yellow balls. If 10 green and 10 purple balls are removed from the bag, find the new ratio.
28.
The quantity x varies inversely as y, and y varies directly as the square of z. If z is halved, then the value of x is
29.
The speed of 144 km/hr, expressed in metres per second is
30.
If 45y = 1000012,
the value of y is
31.
Class interval: 10-19 20-29 30-39 40-49
Frequency: 2 4 3 1
What is the modal score?
32.
If X= {1, 2, 3, 4} and
Y = {3, 5, 6},
the elements of (X ∩ Y) ∪ X are
34.
If x/y = 3/5,
then (x-3)/(y-5) is
35.
What is the common factor to the binomial expressions
4x²-9y²,
8x³+27y³ and
(4x+6y)² ?
36.
The first term of an AP is -1 and the common difference is 0.5.
The 6th term is
37.
Two siblings Taiwo and Kehinde went out to lunch at a restaurant.
If Taiwo contributed 40% of the cost and Kehinde contributed the balance, which is £150, the cost of the lunch was?
38.
The baking recipe for a piece of cake is given as 1.5 cups of sugar and 3.5 cups of flour.
If a cake is baked, based on this recipe with a total of 40 cups of sugar and flour, find the number of cups of sugar used.
39.
The standard deviation for the set of numbers
3, 6, 9, 12, 15 is
40.
If P = {positive integers less than 20, and divisible by 3} and
Q = {odd numbers from 1 to 20 inclusive},
then PnQ is
41.
The reciprocal of 1/4 ÷ (1/3 + 3/4) is
42.
Evaluate
3 log√2 + log√3 - log√6
44.
All the vertices of an isosceles triangle lie on a circle and each of the base angles of the triangle is 65°.
The angle subtended at the centre of the circle by the base of the triangle is
