Mathematics Past Questions and Answers

(a) Given that \(5 \cos (x + 8.5)° - 1 = 0, 0° \leq x \leq 90°\), calculate, correct to the nearest degree, the value of x.
(b) The bearing of Q from P is 0150° and the bearing of P from R is 015°. If Q and R are 24km and 32km respectively from P : (i) represent this information in a diagram;
(ii) calculate the distance between Q and R, correct to two decimal places ; (iii) find the bearing of R from Q, correct to the nearest degree.

If {X: 2 d- x d- 19; X integer} and 7 + x = 4 (mod 9), find the highest value of x

If {X: 2 d- x d- 19; X integer} and 7 + x = 4 (mod 9), find the highest value of x

The sum 11011₂, 1111₂ and 10_m10_n0₂. Find the value of m and n.

A trader bought an engine for $15,000.00 outside Nigeria. If the exchange rate is $0.075 to N1.00, how much did the engine cost in Naira?