(a) The value of the expression \(2Ax - Kx^{2}\) is 7 when x = 1 and 4 when x = 2. Find the values of the constants A and K. (b) Solve the equation \(x^{2} ...

(a) A radio which a dealer bought for N6,000.00 and marked to give a profit of 30% was reduced in a sales by 10%. Find : (i) the final sales price ; (ii) the...

The third term of a Geometric Progression (G.P) is 360 and the sixth term is 1215. Find the (a) common ratio; (b) first term ; (c) sum of the first four terms.

The area of a rectangular floor is 13.5m\(^{2}\). One side is 1.5m longer than the other. (a) Calculate the dimensions of the floor ; (b) If it costs N250.00...

(a) Given that \(\log_{10} 2 = 0.3010, \log_{10} 7 = 0.8451\) and \(\log_{10} 5 = 0.6990\), evaluate without using logarithm tables: (i) \(\log_{10} 35\); (i...

Using a ruler and a pair of compasses only, construct (a) triangle QRT with |QR| = 8cm, |RT| = 6cm and |QT| = 4.5cm. (b) a quadrilateral QRSP which has a com...

(a) A number is selected at random from each of the sets {2, 3, 4} and {1, 3, 5}. What is the probability that the sum of the two numbers will be less than 7...

A, B and C are subsets of the universal set U such that : \(U = {0, 1, 2, 3,..., 12}; A = {x : 0 \leq x \leq 7}; B = {4, 6, 8, 10, 12}; C = {1 < y < 8}\), wh...

(a) Copy and complete the table of values for the relation \(y = 5 - 7x - 6x^{2}\) for \(-3 \leq x \leq 2\). x -3 -2 -1 -0.5 0 1 2 y -28 6 5 (b) Using a scal...