From the diagram above, find the required roots/region of x.
- A. x\(\leq\)-1, x \(\geq\)4
- B. x\(\leq\)4
- C. -1\(\leq\)x\(\leq\)4
- D. x\(\leq\)-1, o\(\leq\)x\(\leq\)4
From the diagram above. Find the fraction of the shaded position?
- A. \(\frac{1}{3}\)
- B. \(\frac{1}{5}\)
- C. \(\frac{1}{4}\)
- D. \(\frac{1}{6}\)
Determine the mean score of the student that took the mathematics test?
- A. 4.5
- B. 4.3
- C. 4.2
- D. 4.6
The bar chart above shows the marks obtained by students in a mathematics test.
How many students in all took the test?
- A. 40
- B. 30
- C. 10
- D. 20
Rationalize \(\frac{\sqrt{6} – \sqrt{4}}{\sqrt{6} + \sqrt{4}}\)
- A. 5 + 2 \(\sqrt{6}\)
- B. 5 - 4 \(\sqrt{6}\)
- C. 5 + 4 \(\sqrt{6}\)
- D. 5 - 2 \(\sqrt{6}\)
OGIVE is constructed using
- A. Third quartile range
- B. Semi-quartile range
- C. Cummulative frequency table
- D. Inter-quartile table
In the cyclic quadrilateral above . Find < PRO
- A. 70o
- B. 20o
- C. 50o
- D. 30o
Find the mean of 10, 8, 5, 11, 12, 9, 6, 3, 15, and 23.
- A. 11.2
- B. 10
- C. 10.2
- D. 11.3
From the cyclic quadrilateral above, find < TSV
- A. 60o
- B. 80o
- C. 70o
- D. 50o
If Q is a factor of 18 and T is prime numbers between 2 and 18. What is Q\(\cap\)T?
- A. (2,3)
- B. (2,3,18)
- C. (2,3,9)
- D. (2,3,6)
Solve for x and y respectively
3x – 5y = 9
6x – 4y = 12
- A. \(\frac{3}{4}\), 1
- B. \(\frac{4}{3}\), 1
- C. \(\frac{3}{4}\), -1
- D. \(\frac{4}{3}\), -1
If N = \(\frac{p}{2}\)(\(\frac{T_1 – T_2}{T_1}\)). Find P when N = 12, T1 = 27 and T2 = 24.
- A. 48
- B. 108
- C. 54
- D. 216
Evaluate \(\int\)(sinx – 5x2)dx
- A. -cosx - 10x + k
- B. cosx - \(\frac{5x^3}{3}\) + k
- C. -cosx - \(\frac{5x^3}{3}\) + k
- D. cosx - 10x + k
Find \(\frac{dy}{dx}\). If y = 3x3 + 2x2 + 3x + 1
- A. 9x2 + 4x + 3
- B. 9x2 - 4x - 3
- C. 9x2 + 4x - 3
- D. 9x2 - 4x + 3
If a car travels 120km on 45 litres of petrol, how much petrol is needed for a journey of 600km?
- A. 720 litres
- B. 160 litres
- C. 225 litres
- D. 960 litres
Simplify 1 – (\(\frac{1}{7}\) x 3 \(\frac{1}{2}\)) \(\div\) \(\frac{3}{4}\)
- A. 2
- B. \(\frac{1}{3}\)
- C. 1
- D. \(\frac{2}{3}\)
The nth term of the sequence 3, 9, 27, 81…..is
- A. 3 x 3n-2
- B. 3 x 3n-1
- C. 3 x 3n+2
- D. 3 x 3n+1
If y = 2x3 + 6x2 + 6x + 1, Find \(\frac{dy}{dx}\)
- A. 6x2 + 12x + 1
- B. 6x2 + 6x + 1
- C. 6x2 + 6x + 6
- D. 6x2 + 12x + 6
Evaluate \(\frac{12.02 \times 20.06}{26.04 \times 60.06}\), correct to three significant figures.
- A. 0.157
- B. 0.154
- C. 0.155
- D. 0.158
An arc of the length 16\(\pi\)cm subtends an angle of 80o at the centre of the circle. Find the radius of the circle.
- A. 24cm
- B. 28cm
- C. 36cm
- D. 32cm