In constructing an angle, Olu draws line OX. With centre O and a convenient radius, he draws an arc intersecting OX at P. With centre P and the same radius, he draws an arc intersecting the first arc at Q and finally joins OQ. What is the size of angle POQ so constructed?

• A. 90°
• B. 75°
• C. 60°
• D. 45°

In the diagram, PQR is straight line, ( m + n) = 120° and ( n + r) = 100°. Find (m + r).

• A. 110°
• B. 120°
• C. 140°
• D. 160°

The angle of a sector of s circle, radius 10.5cm, is 48°, Calculate the perimeter of the sector

• A. 8.8cm
• B. 25.4cm
• C. 25.6cm
• D. 29.8cm

If r varies inversely as the square root of s and t, how does s vary with r and t?

• A. s varies inversely as r and t²
• B. s varies inverely as r² and t
• C. s varies directly as r² and t²
• D. s varies directly as r and t

Simplify \(5\frac{1}{4}\div \left(1\frac{2}{3}- \frac{1}{2}\right)\)

• A. \(1\frac{3}{4}\)
• B. \(3\frac{1}{2}\)
• C. \(4\frac{1}{2}\)
• D. \(8\frac{1}{2}\)

An arc of a circle, radius 14cm, is 18.33cm long. Calculate to the nearest degree, the angle which the arc subtends at the centre of the circle. [π = \(\frac{22}{7}\)]

• A. 11^o
• B. 20^o
• C. 22^o
• D. 75^o

The length a person can jump is inversely proportional to his weight. If a 20 kg person can jump 1.5 m, find the constant of proportionality

• A. 60
• B. 30
• C. 20
• D. 15

Find the total surface area of solid circular cone with base radius 3cm and slant height 4cm. [Take π = 22/7]

• A. 37 5/7cm²
• B. 66cm²
• C. 75 3/7cm²
• D. 78 2/7cm²

The table gives the frequency distribution of marks obtained by a group of students in a test.

If the mean is 5,

(a) Calculate the value of x;

(b) Find the : (i) mode ; (ii) median of the distribution.

(c) If one of the students is selected at random, find the probability that he scored at least 7 marks.

A binary operation, \(\Delta\), is defined on the set of real numbers by \(a \Delta b = a + b + 4\). Find the identity element.

• A. 4
• B. 2
• C. \(\frac{1}{4}\)
• D. -4