Mathematics Past Questions And Answers
(a) Given that \(\frac{5y - x}{8y + 3x} = \frac{1}{5}\), find the value of \(\frac{x}{y}\) to two decimal places.
(b) If 3 is a root of the quadratic equation \(x^{2} + bx - 15 = 0\), determine the value of b. Find the other root.
View Discussion (0)WAEC 1997 THEORYSimplify \(\sqrt{(\frac{-1}{64})^{\frac{-2}{3}}}\).
- A. -4
- B. \(-\frac{1}{4}\)
- C. \(\frac{1}{8}\)
- D. 4
Two men P and Q set off from a base camp R, prospecting for oil. P moves 20km on a bearing of 205° and Q moves 15km on a bearing of 060°. Calculate the:
(a) distance of Q from P ;
(b) bearing of Q from P.
(Give your answer in each case to the nearest whole number)
View Discussion (0)WAEC 1996 THEORY_LI.jpg)
Two functions f and g are defined on the set R of real numbers by \(f : x \to 2x - 1\) and \(g : x \to x^{2} + 1\). Find the value of \(f^{-1} \circ g(3)\).
- A. 12
- B. 11
- C. \(\frac{11}{2}\)
- D. \(\frac{9}{2}\)
Simplify \(\frac{^{n}P_{4}}{^{n}C_{4}}\)
- A. 24
- B. 18
- C. 12
- D. 6
An arc of the length 16Ï€cm subtends an angle of 80° at the centre of the circle. Find the radius of the circle.
- A. 24cm
- B. 28cm
- C. 36cm
- D. 32cm
How many numbers greater than 150 can be formed from the digits 1, 2, 3, 4, 5 without repetition?
- A. 91
- B. 191
- C. 291
- D. 391
Factorize m3 - 2m2 - m + 2
- A. (m2 + 1)(m - 2)
- B. (m - 1)(m + 1)(m + 2)
- C. (m - 2)(m + 1)(m - 1)
- D. (m2 + 2)(m - 1)
\(\begin{array}{c|c}
Marks & 2 & 3 & 4 \\
\hline
Frequency & 4 & 4 & y
\end{array}\)
The table above shows the frequency distribution of marks obtained by a group of students. If the total mark is 48, find the value of y
- A. 6
- B. 8
- C. 7
- D. 5
Given that \(\sqrt{2} = 1.414\), find without using tables, the value of \(\frac{1}{\sqrt{2}}\)
- A. 0.141
- B. 0.301
- C. 0.667
- D. 0.707