If \(\frac{t}{1}\) = \(\sqrt{(\frac{4\pi^2}{g}})\), what is the value of g when I = 4.5; t = 5 secs
- A. 3.20 ms2
- B. 11.31 ms2
- C. 32.00 ms2
- D. 56.57 ms2
- E. 160.00 ms2
The angle of elevation of the top (T) of a palm tree from a point (R) on the ground is 30°. The distance from R to the base (B) of the palm tree is 120m. What is the distance between T and R?
- A. 60m
- B. 60\(\sqrt{3}\)m
- C. 80\(\sqrt{3}\)m
- D. 120\(\sqrt{3}\)m
- E. 240m
Two parallel chords of a circle are respectively 46cm and 40cm long. If the radius of the circle is 25cm and the centre of the circle lies between the two chords, what is the distance between the chords?
- A. 7cm
- B. 15cm
- C. 22cm
- D. 26cm
- E. 30cm
A petrol attendant recorded the number of vehicles that bought petrol from him for -3 hours and recorded 12 cars and 27 buses. What is the probability that the next vehicle will be a bus?
- A. \(\frac{4}{39}\)
- B. \(\frac{4}{13}\)
- C. \(\frac{5}{13}\)
- D. \(\frac{6}{13}\)
- E. \(\frac{9}{13}\)
If sin 30° = 0.5, what is the cosine of its complement?
- A. -0.866
- B. -0.5
- C. 0.0.5
- D. 0.866
- E. 1
What is the total surface area of a cuboid whose dimensions are 12cm × 8cm × 3cm?
- A. 312cm\(^2\)
- B. 96cm\(^2\)
- C. 36cm\(^2\)
- D. 24cm\(^2\)
- E. 12cm\(^2\)
If , sT = \(\sqrt{\frac{[(a + T)T]}{a}}\) what does T equal?
- A. T = (a2s2 – 1)
- B. T = (a2s2– 1) ÷ a
- C. T = a ÷ (a2 - s2)
- D. T = a ÷ (a2s2 – 1)
- E. T = (as – 1)2
A cone was developed from a sector of a circle with radius10cm and an angle at the centre of 108°. What is the radius of the cone?
- A. 9.0cm
- B. 8.5cm
- C. 7.2cm
- D. 4.3cm
- E. 3.0cm
What is the volume of a cube if the diagonal of one of the sides is \(\sqrt{50}\)cm?
- A. 7.07cm\(^3\)
- B. 50.0cm\(^3\)
- C. 125.0cm\(^3\)
- D. 353.4cm\(^3\)
- E. 625.0cm\(^3\)
Evaluate 1.25 × 10\(^2\) × 0.125 × 10\(^3\) × 12.5 × 10\(^{-4}\) leaving your answer in standard form
- A. 1.995 × 103
- B. 1.95 × 102
- C. 1.95 × 101
- D. 1.95 × 10-2
- E. 1.95 × 10-3
Given that the universal set U={14,15,16,17,18,19,20}, J ={16,19,20} and K= {14,15,18}, find (J’ ∩ K’)1.
- A. {17}
- B. {16, 17, 19, 20}
- C. {1, 4, 15, 17, 18}
- D. {14, 15, 16, 18, 19, 20}
- E. {14, 15, 16, 17, 18, 19, 20}