In how many ways can a six applicant for a job arrange themselves at around the table when they are invited for an interview?

• a) 102 ways
• b) 6 ways
• c) 12 ways
• d) 120 ways

In the diagram, TS is a tangent to the circle at S. |PR| and ∠ PQR = 177°. Calculate ∠ PST.

• A. 54°
• B. 44°
• C. 34°
• D. 27°

Three children shared a basket of mangoes in such a way that the first child took \(\frac{1}{4}\) of the mangoes and the second \(\frac{3}{4}\) of the remainder. What fraction of the mangoes did the third child take?

• A. \(\frac{3}{16}\)
• B. \(\frac{7}{16}\)
• C. \(\frac{9}{16}\)
• D. \(\frac{13}{16}\)

Three children were playing counting their fingers and toes. Talatu added her fingers together 5times, while Binta added one-foot toes 7times with three toes of the other foot. Funmi then added both her toes and fingers of the limb together. Binta answer will be.

• (a) 38
• (b) 73
• (c) 56
• (d) 25

Find the number whose logarithm to base 10 is 2.6025

• A. 400.4
• B. 0.4004
• C. 0.04004
• D. 0.004004

The weight of a day-old chick was measured to be 0.21g. If the actual weight of the chick is 0.18g, what was the percentage error in the measurement?

• A. 15.5%
• B. 18.2%
• C. 14.8%
• D. 16.7%

If x =3, y = 2 and z = 4 what is the value of 3x² -2y+z

• A. 17
• B. 27
• C. 35
• D. 71

(a) The functions \(f : x \to x^{2} + 1\) and \(g : x \to 5 - 3x\) are defined on the set of the real numbers, R.

(i) State the domain of \(f^{-1}\), the inverse of f ; (ii) find \(g^{-1} (2)\).

(b) Evaluate : \(\int \frac{(x + 3)}{x^{2} + 6x + 9} \mathrm {d} x\)

A trader realises 10x - x² Naira profit from the sale of x bags of corn. How many bags will give him the maximum profit?

• A. 7
• B. 6
• C. 5
• D. 4

(a) PQ is a tangent to a circle RST at the point S. PRT is a straight line, < TPS = 34° and < TSQ = 65°.

(i) Illustrate the information in a diagram; (ii) find the value of : (a) < RTS ; (b) < SRP.

(b)

In the diagram, /VZ/ = /YZ/, < YXZ = 20° and < ZVY = 52°. Calculate the size of < WYZ.