Mathematics Past Questions And Answers
Given that \(y = x(x + 1)^{2}\), calculate the maximum value of y.
- A. -2
- B. 0
- C. 1
- D. 2
Given that \(AB = \begin{pmatrix} 4 \\ 3 \end{pmatrix}\) and \(AC = \begin{pmatrix} 2 \\ -3 \end{pmatrix}\), find |BC|.
- A. \(4\sqrt{2}\)
- B. \(6\sqrt{2}\)
- C. \(2\sqrt{10}\)
- D. \(4\sqrt{10}\)
The angle of elevation of the top X of a vertical pole from a point P on a level ground is 60°. The distance from P to the foot of the pole is 55m. Without using tables, find the height of the pole.
- A. 50/3m
- B. 50m
- C. 55√3m
- D. 60m
Calculate the standard deviation of 30, 29, 25, 28, 32 and 24.
- A. 2.0
- B. 2.8
- C. 3.0
- D. 3.2
Make p the subject of formula y = a + p/a - p
- A.2a + y/a + y= p
- B.ay - y/y + 1= p
- C.a(y -1)/y + 1= p
- D.ay/y + 1= p
Find the remainder when X3 - 2X2 + 3X - 3 is divided by X2 + 1
- A. 2X - 1
- B. X + 3
- C. 2X + 1
- D. X - 3
4, 5, 7, 11, 19, ?
- (a) 33
- (b) 27
- (c) 37
- (d) 35
Find, correct to two decimal, the mean of 1\(\frac{1}{2}\), 2\(\frac{2}{3}\), 3\(\frac{3}{4}\), 4\(\frac{4}{5}\), and 5\(\frac{5}{6}\).
- A. 3.71
- B. 3.70
- C. 3.69
- D. 3.72
Simplify(0.3 x 105) \(\div\) (0.4 \(\times\) 107), leaving you answer in the standard form.
- A. 7.5 x 10-4
- B. 7.5 x 10-3
- C. 7.5 x 10-2
- D. 7.5 x 10-1
\(\begin{array}{c|c} Score & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 \\ \hline Frequency & 1 & 0 & 7 & 5 & 2 & 3 & 1 & 1 \end{array}\)
The table above shows the scores of 20 students in further mathematics test. What is the range of the distribution?
- A. 7
- B. 6
- C. 3
- D. 10