Mathematics Past Questions And Answers
Find the value of x for which the function f(x) = 2x3 - x2 - 4x + 4 has a maximum value
- A. 2/3
- B. 1
- C. - 2/3
- D. - 1
Find the sum of the range and the mode of the set of numbers 10, 9, 10, 9, 8, 7, 7, 10, 8, 10, 8, 4, 6, 9, 10, 9, 7, 10, 6, 5
- A. 16
- B. 14
- C. 12
- D. 10
A sector of a circle of radius 14cm containing an angle 60o is folded to form a cone. Calculate the radius of the base of the cone.
- A. \(5\frac{1}{2}cm\)
- B. \(4\frac{2}{3}cm\)
- C. \(3\frac{1}{2}cm\)
- D. \(2\frac{1}{3}cm\)
In the diagram, O is the centre of the circle and POQ a diameter. If POR = 96°, find the value of ORQ.
- A. 84°
- B. 48°
- C. 45°
- D. 42°
Town P is on bearing 315o from town Q while town R is south of town P and west of town Q. lf town R is 60km away from Q, how far is R from P?
- A. 30km
- B. 42km
- C. 45km
- D. 60km
The equation of the line of best fit for variables x and y is \(y = 19.33 + 0.42x\), where x is the independent variable. Estimate the value of y when x = 15.
- A. 18.91
- B. 19.75
- C. 25.63
- D. 38.23
The bar chart shows the frequency distribution of marks scored by students in a class test. How many students are in the class?
- A. 10
- B. 24
- C. 25
- D. 30
If \(x^{2} - kx + 9 = 0\) has equal roots, find the values of k.
- A. 3, 4
- B. \(\pm3\)
- C. \(\pm5\)
- D. \(\pm6\)
Given that \(P = \begin{pmatrix} -2 & 1 \\ 3 & 4 \end{pmatrix}\) and \(Q = \begin{pmatrix} 5 & -3 \\ 2 & -1 \end{pmatrix}\), find PQ - QP.
- A. \(\begin{pmatrix} 0 & 0 \\ 0 & 0 \end{pmatrix}\)
- B. \(\begin{pmatrix} 27 & 12 \\ 16 & -15 \end{pmatrix}\)
- C. \(\begin{pmatrix} -20 & -6 \\ 12 & -8 \end{pmatrix}\)
- D. \(\begin{pmatrix} 11 & 12 \\ 30 & -11 \end{pmatrix}\)
If the points (-1, t -1), (t, t - 3) and (t - 6, 3) lie on the same straight line, find the values of t.
- A. t = -2 and 3
- B. t = 2 and -3
- C. t = 2 and 3
- D. t = -2 and -3