If in the English alphabet, A = 1, B = 2, C = 3…… and Z = 26, what will be difference in the sum of DOG and CAT?

• A. 26
• B. 24
• C. 2
• D. 1

calculate the simple interest on N7,500 for 8 years at 5% per annum.

• A. N3,000
• B. N600
• C. N300
• D. N150

An interior angle of a regular polygon is 5 times each exterior angle. How many sides has the polygon?

• A. 15
• B. 12
• C. 9
• D. 6

A binary operation ? is defined on the set of real numbers R, by x?y = \(\sqrt{x+y - \frac{xy}{4}}\), where x, yER. Find the value of 4?3

• A. 16
• B. 8
• C. 4
• D. 2

Raial has 7 different posters to be hanged in her bedroom, living room and kitchen. Assuming she has plans to place at least a poster in each of the 3 rooms, how many choices does she have?

• A. 49
• B. 170
• C. 21
• D. 210

(a) The distribution of the lives (in days) of 40 transitor batteries is shown in the table:

(a) Draw a histogram for the distribution.

(b) Use your graph in (a) to determine the mode for the distribution.

(c) Using an assumed mean of 43 days, calculate the mean of the distribution.

(d) What percentage number of batteries will live for less than 31 days or more than 45 days?

(a)

In the diagram, AB // CD and BC // FE. \(\stackrel\frown{CDE} = 75°\) and \(\stackrel\frown{DEF} = 26°\). Find the angles marked x and y.

(b)

The diagram shows a circle ABCD with centre O and radius 7 cm. The reflex angle AOC = 190° and < DAO = 35°. Find :

(i) < ABC ; (ii) < ADC.

(c) Using the diagram in (b) above, calculate, correct to 3 significant figures, the length of : (i) arc ABC ; (ii) the chord AD. [Take \(\pi = 3.142\)].

Find the exterior angle of a 12 sided regular polygon

• A. 12°
• B. 24°
• C. 25°
• D. 30°

A ball is thrown vertically upwards with a velocity of 15\(ms^{-1}\). Calculate the maximum height reached. \([g = 10ms^{-2}]\)

• A. 15.25m
• B. 13.25m
• C. 11.25m
• D. 10.25m

What is the probability that an integer x,(1 ≤ x ≤ 20) chosen at random is divisible by both 2 and 3?

• A. 1/20
• B. 1/3
• C. 3/20
• D. 7/10