Mathematics Past Questions And Answers
In the diagram, a ladder PS leaning against a vertical wall PR makes angle x° with the horizontal floor. The ladder slides down to a point QT such that angle QTR = 30° and SNT = y°. Find the relation between x and y.
- A. \(y = \frac{1}{2}x + 30\)
- B. \(y = \frac{1}{2}x + 30\)
- C. \(y = x + 30\)
- D. \(y = x - 30\)
An arc of a circle of radius 14cm subtends angle 300° at the centre. Find the perimeter of the sector formed by the arc (take π = 22/7)
- A. 14.67cm
- B. 73.33 cm
- C. 101.33cm
- D. 513.33cm
The length of a piece of stick is 1.75 m. A boy measured it as 1.80 m. Find the percentage error
- A. 4\(\frac{4}{7}\)
- B. 2\(\frac{6}{7}\)
- C. 2\(\frac{7}{9}\)
- D. 4\(\frac{7}{9}\)
Given \(\sin \theta = \frac{\sqrt{3}}{2}, 0° \leq \theta \leq 90°\), find \(\tan 2\theta\) in surd form.
- A. \(- \sqrt{3}\)
- B. \(-\frac{\sqrt{3}}{2}\)
- C. \(\frac{\sqrt{3}}{2}\)
- D. \(\sqrt{3}\)
The equation of a circle is \(3x^{2} + 3y^{2} + 6x - 12y + 6 = 0\). Find its radius
- A. 1
- B. \(\sqrt{3}\)
- C. \(\sqrt{11}\)
- D. \(\sqrt{6}\)
Given that sin \(P = \frac{5}{13}\), where p is acute, find the value of cos p - tan p
- A. \(\frac{79}{156}\)
- B. \(\frac{85}{156}\)
- C. \(\frac{7}{13}\)
- D. \(\frac{8}{1}\)
Express 16.54 x 10\(^{-5}\) - 6.76 x 10\(^{-8}\) + 0.23 x 10\(^{-6}\) in standard form
- A. 1.66 x 10\(^{-4}\)
- B. 1.66 x 10\(^{-5}\)
- C. 1.65 x 10\(^{-5}\)
- D. 1.65 x 10\(^{-4}\)
Find the value of a in the equation: cos (a + 14)° = sin (4a + 6)°
View Discussion (0)WAEC 2023 THEORYfactorize m3 - m2 + 2m - 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)
A number is selected at random between 10 and 20, both numbers inclusive. Find the probability that the number is an even number
- A. \(\frac{5}{11}\)
- B. \(\frac{1}{2}\)
- C. \(\frac{6}{11}\)
- D. \(\frac{7}{10}\)