Waec Mathematics Past Questions and Answers

Question 841:

• WAEC 2002

The probabilities that Ade, Kujo and Fati will pass an examination are $\frac{2}{3},\frac{5}{8}$ and $\frac{3}{4}$ respectively. Find the probability that
(a) the three ;
(b) none of them ;
(c) Ade and Kujo only ; will pass the examination.

Question 842:

• WAEC 2002

(a) Simplify : $\frac{1}{2}{\log }_{10}25-2{\log }_{10}3+{\log }_{10}18$
(b) If ${123}_y={83}_{10}$, obtain an equation in y, hence find the value of y.
(c) Solve the equation $\frac{9^{2x-3}}{3^{x+3}}=1$

Question 843:

• WAEC 2002

(a) The first term of an Arithmetic Progression(AP) is 3 and the common difference is 4. Find the sum of the first 28 terms.
(b) Given that $x=\frac{2m}{1-m^2}$ and $y=\frac{2m}{1+m}$, express 2x - y in terms of m in the simplest form.
(c) The angles of pentagon are x°, 2x°, 3x°, 2x° and (3x - 10)°. Find the value of x.

Question 844:

• WAEC 2002

(a) An open rectangular tank is made of a steel plate of area 1440$m^2$. Its length is twice its width . If the depth of the tank is 4m less than its width, find its length.
(b) A man saved N3,000 in a bank P, whose interest rate was x% per annum and N2,000 in another bank Q whose interest rate was y% per annum. His total interest in one year was N640. If he had saved N2,000 in P and N3,000 in Q for the same period, he would have gained N20 as additional interest. Find the values of x and y.

Question 845:

• WAEC 2002

The diagram is a portion of a right circular solid cylinder of radius 7 cm and height 15 cm. The centre of the base of the cylinder is Q, while that of the top is B, where $\stackrel{⌢}{ABC}=\stackrel{⌢}{PQR}=120°$. Calculate, correct to one decimal place:
(a) The volume
(b) the total surface area of the solid. [Take $\pi =\frac{22}{7}$].