Mathematics Past Questions And Answers
(a) Find the equation of the line which passes through the points A(-2, 7) and B(2, -3)
(b) Given that \(\frac{5b - a}{8b + 3a} = \frac{1}{5}\) = find, correct to two decimal places, the value \(\frac{a}{b}\)
View Discussion (0)WAEC 2019 THEORYIf N225.00 yields N27.00 in x years simple interest at the rate of 4% per annum, find x
- A. 3
- B. 4
- C. 12
- D. 17
(a) Copy and complete the table of values for \(y = \sin x + 2 \cos x\), correct to one decimal place.
| x | 0° | 30° | 60° | 90° | 120° | 150° | 180° | 210° | 240° |
| y | 2.2 | -1.2 | -2.0 | -1.9 |
(b) Using a scale of 2 cm to 30° on the x- axis and 2 cm to 0.5 units on the y- axis, draw the graph of \(y = \sin x + 2\cos x\) for \(0° \leq x \leq 240°\).
(c) Use your graph to solve the equation : (i) \(\sin x + 2 \cos x = 0\) ; (ii) \(\sin x = 2.1 - 2\cos x\).
(d) From the graph, find y when x = 171°.
View Discussion (0)WAEC 2009 THEORYA frustrum of pyramid with square base has its upper and lower sections as squares of sizes 2m and 5m respectively and the distance between them 6m. Find the height of the pyramid from which the frustrum was obtained.
- A. 8.0 m
- B. 8.4 m
- C. 9.0 m
- D. 10.0 m
If a \(\ast\) b = + \(\sqrt{ab}\), evaluate 2 \(\ast\)(12 \(\ast\) 27)
- A. 12
- B. 9
- C. 6
- D. 2
On a map, 1cm represent 5km. Find the area on the map that represents 100km2.
- A. 2cm2
- B. 4cm2
- C. 8cm2
- D. 8cm2
If X = {all the perfect squares less than 40}
Y = {all the odd numbers fro, 1 to 15}. Find X ∩ Y.
- A. {3, 9}
- B. {9}
- C. {9, 25}
- D. {1, 9}
Evaluate, correct to the nearest whole number \(7\frac{1}{2}-\left(2\frac{1}{2}+3\right)\div\frac{33}{2}\)
- A. 33
- B. 8
- C. 7
- D. 0
The line \(y = mx - 3\) is a tangent to the curve \(y = 1 - 3x + 2x^{3}\) at (1, 0). Find the value of the constant m.
- A. -4
- B. -1
- C. 3
- D. 4
(a)
In the diagram, MN || ST, NP || QT and < STQ = 70°. Find x.
(b)
In the diagram below, AC is a straight line, |BC| = |BD|, \(\stackrel\frown{BCD} = 50°\) and \(\stackrel\frown{BAD} = 55°\). Find \(\stackrel\frown{BDA}\).


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\(< QTR = < TRP = 70°\) (alternate angle)