(a) If \((y - 1)\log_{10}4 = y\log_{10}16\), without using Mathematics tables or calculator, find the value of y. (b) When I walk from my house at 4km/h, I ...

Marks 1 2 3 4 5 Number of students \(m + 2\) \(m - 1\) \(2m - 3\) \(m + 5\) \(3m - 4\) The table shows the distribution of marks scored by some students in a...

(a) Solve the equation : \(\frac{2}{3}(3x - 5) - \frac{3}{5}(2x - 3) = 3\) (b) In the diagram, < STQ = m, < TUQ = 80°, < UPQ = r, < PQU = n and < RQT = 88°. ...

(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) fi...

If the sixth term of an Arithmetic Progression (A.P) is 37 and the sum of the first six terms is 147, find the (a) first term; (b) sum of the first fifteen t...

(a) A manufacturing company requires 3 hours of direct labour to process N87.00 worth of raw materials. If the company uses N30,450.00 worth of raw materials...

(a) The angle of depression of a point P on the ground from the top T of a building is 23.6°. If the distance from P to the foot of the building is 50m, calc...

(a) Copy and complete the table of values for the equation \(y = 2x^{2} - 7x - 9\) for \(-3 \leq x \leq 6\). x -3 -2 -1 0 1 2 3 4 5 6 y 13 -9 -14 -12 6 (b) U...

Out of 120 customers in a shop, 45 bought both bags and shoes. If all the customers bought either bags or shoes and 11 more customers bought shoes than bags:...