If p : q = \(\frac{2}{3}\) : \(\frac{5}{6}\) and q : r = \(\frac{3}{4}\) : \(\frac{1}{2}\), find p : q : r

• A. 12 : 15 : 10
• B. 12 : 15 : 16
• C. 10 : 15 : 24
• D. 9 : 10 : 15

(a) Two places X and Y on the equator are on longitudes 67°E and 123°E respectively. (i) What is the distance between them along the equator? (ii) How far from the North pole is X? [Take \(\pi = \frac{22}{7}\) and radius of earth = 6400km].

(b) In the diagram, PQR is a circle centre O. N is the mid-point of chord PQ. |PQ| = 8cm, |ON| = 3cm and < ONR = 20°. Calculate the size of < ORN to the nearest degree.

The length of the two parallel sides of trapezium are 6cm and 10cm and the perpendicular distance between them is 5cm. Find the area of the trapezium

• A. 21cm²
• B. 4Ocm²
• C. 8Ocm²
• D. 150cm²

(a) In the diagram, PQSR and SRYZ are parallelograms and PQYZ is a straight line. If /QY/ = 2cm and /RS/ = 3cm, find /PZ/.

(b) P and Q are two towns on the earth's surface on latitude 56°N. Thei longitudes are 25°E and 95°E respectively. Find the distance PQ along their parallel of latitude, correct to the nearest km. [Take radius of the earth as 6400km and \(\pi = \frac{22}{7}\)]

The Secretary-General of the UN occupies a peculiar position because he is

• A. the secretary to all organs of the UN
• B. appointed by General Assembly
• C. a member of the Security Council
• D. responsible to the UN and not to individual government

Which of the following quadratic curves will not intersect with the x- axis?

• A. \(y = 2 - 4x - x^{2}\)
• B. \(y = x^{2} - 5x -1\)
• C. \(y = 2x^{2} - x - 1\)
• D. \(y = 3x^{2} - 2x + 4\)

A sum of N18,100 was shared among 5 boys and 4 girls with each boy taking N20.00 more than each girl. Find a boy's share.

• A. N1,820.00
• B. 2,000.00
• C. N2,020.00
• D. N2,040.00

Fill each of the gap with the appropriate option from the list following the the gap.

Kindly .... me your book because my friends has ..... mine?

• A. borrow /borrowed
• B. borrow /lent
• C. lend / lent
• D. lend / borrowed

Alhaji Shehu Shagari became Nigerian First Executive President

• A. 1st October 1960
• B. 1st October 1961
• C. 1st October 1978
• D. 1st October 1979

Which of the following planets revolves round the sun in clockwise direction?

• A. mercury
• B. jupiter
• C. uranus
• D. pluto