(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 mass of an element is 27 and its atomic number is 13. What is the composition of the nucleus of its atom?

• A. 13 electrons and 14 protons
• B. 13 neutrons and 14 protons
• C. 13 protons and 14 neutrons
• D. 13 electrons and 14 neutrons

Oliver Ltd., a producer of fruit juice sells its products to stores across the country

a) List six advertising media the company could use to create awareness about its products

b) State three benefits the Company would derive from advertising the products

c) State four factors that would influence the company's choice of mode of transporting its products

A.....................is one of the tools for bricklaying.

• (a) Spanner
• (b) Nail
• (c) Trowel
• (d) Scriber

Evaluate \(\int_{-1}^{1} (x + 1)^{2}\mathrm {d} x\).

• A. \(\frac{8}{3}\)
• B. \(\frac{7}{3}\)
• C. \(\frac{5}{3}\)
• D. 2

The circulating capital of a business enterprise is classified into

• A. Cash, work-in-progress and debtors
• B. Cash, Vehicles, land and building
• C. debtors, stocks of raw materials and fitting
• D. Prepayments, debtors and equipment

From the words lettered A to D below each of the following sentences, choose the word that is nearest in meaning to the underlined word.

The chairman observed that Andrew was the mostqualifiedcandidate for the job

• A. suitable
• B. accommodating
• C. responsible
• D. interesting

The Yoruba traditional system of government was

• A. republican
• B. democratic
• C. monarchical
• D. egalitarian

Given matrix M = \(\begin{vmatrix} -2 & 0 & 4 \\ 0 & -1 & 6 \\ 5 & 6 & 3 \end{vmatrix}\), find \(M^{T} + 2M\)

• A. \(\begin{vmatrix} -4 & 2 & 1\\ 6 & 0 & 5 \\ 0 & 6 & 2 \end{vmatrix}\)
• B. \(\begin{vmatrix} -6 & 0 & 13\\ 0 & -3 & 18 \\ 14 & 18 & 9 \end{vmatrix}\)
• C. \(\begin{vmatrix} 5 & 2 & 6 \\ 0 & 1 & 1\\ 3 & 4 & -7 \end{vmatrix}\)
• D. \(\begin{vmatrix} -4 & 0 & 8 \\ 0 & -2 & -16 \\ 10 & 12 & 6 \end{vmatrix}\)

Apart from the miracles at the wedding feast, another miracle of Jesus at Canain Galilee was

• A. feeding the four thousand
• B. healing the noble's son
• C. healing of a man born blind
• D. healing a paralytic man