Factorize 6pq-3rs-3ps+6qr

• A. 3(r - p)(2q + s)
• B. 3(p + r)( 2q - 2q - s)
• C. 3(2q - s)(p + r)
• D. 3(r - p)(s - 2q)

Using ruler and a pair of compasses only,

(a) construct (i) a quadrilateral PQRS with /PS/ = 6 cm, < RSP = 9 cm, /QR/ = 8.4 cm and /PQ/ = 5.4 cm; (ii) the bisectors of < RSP and < SPQ to meet at X ; (iii) the perpendicular XT to meet PS at T.

(b) Measure /XT/.

If x = \(\begin{pmatrix} 1 & 2 \\ 0 & 3 \end{pmatrix}\) and y = \(\begin{pmatrix} 2 & 1 \\ 4 & 3 \end{pmatrix}\). Find xy.

• A. \(\begin{pmatrix} 10 & 7 \\ 12 & 9 \end{pmatrix}\)
• B. \(\begin{pmatrix} 2 & 7 \\ 4 & 17 \end{pmatrix}\)
• C. \(\begin{pmatrix} 10 & 4 \\ 4 & 6 \end{pmatrix}\)
• D. \(\begin{pmatrix} 4 & 3 \\ 10 & 9 \end{pmatrix}\)

In the figure, PQST is a parallelogram and TSR is a straight line. If the area of â–³QRS is 20cm², find the area of the trapezium PQRT.

• A. 35cm²
• B. 65cm²
• C. 70cm²
• D. 140cm²

A man's initial salary is N540.00 a month and increases after each period of six months by N36.00. Find his salary in the eight month of the third year.

• A. N828.00
• B. N756.00
• C. N720.00
• D. N684.00

Calculate the total surface area of a cupboard which measures 12cm by 10cm by 8cm

• A. 1920cm²
• B. 592cm²
• C. 296cm²
• D. 148cm²

The bar chart shows the scores of some students in a test. How many students took the test?

• A. 18
• B. 19
• C. 20
• D. 22

calculate the surface area of a sphere of radius 7cm [Take π = 22/7]

• A. 86cm²
• B. 154cm²
• C. 616cm²
• D. 1434cm²

The table above shows the distribution of marks by some candidates in a test. Find, correct to one decimal place, the mean of the distribution.

• A. 5.5
• B. 5.3
• C. 5.2
• D. 4.7

(a) Simplify : \((\frac{x^{2}}{2} - x + \frac{1}{2})(\frac{1}{x - 1})\)

(b) A point P is 40km from Q on a bearing 061°. Calculate, correct to one decimal place, the distance of P to (i) north of Q ; (ii) east of Q.

(c) A man left N5,720 to be shared among his son and three daughters. Each daughter's share was \(\frac{3}{4}\) of the son's share. How much did the son receive?