FURTHER MATHEMATICS Past Questions And Answers
The ages, in years, of 5 boys are 5, 6, 6, 8 and 10. Calculate, correct to one decimal place, the standard deviation of their ages.
- A. 3.2 years
- B. 2.6 years
- C. 1.9 years
- D. 1.8 years
In how many ways can the letters of the word 'ELECTIVE' be arranged?
- A. 336
- B. 1680
- C. 6720
- D. 20160
Given that \(\alpha\) and \(\beta\) are the roots of an equation such that \(\alpha + \beta = 3\) and \(\alpha \beta = 2\), find the equation.
- A. \(x^{2} - 3x + 2 = 0\)
- B. \(x^{2} - 2x + 3 = 0\)
- C. \(x^{2} - 3x - 2 = 0\)
- D. \(x^{2} - 2x - 3 = 0\)
Find the number of different arrangements of the word IKOTITINA.
- A. 30240
- B. 60840
- C. 120960
- D. 362880
Express \(\frac{13}{4}\pi\) radians in degrees.
- A. 495°
- B. 225°
- C. 585°
- D. 135°
If ( 1- 2x)\(^4\) = 1 + px + qx\(^2\) - 32x\(^3\) + 16\(^4\), find the value of (q - p)
- A. -32
- B. -16
- C. 16
- D. 32
A straight line 2x+3y=6, passes through the point (-1,2). Find the equation of the line.
- A. 2x-3y=2
- B. 2x-3y=-2
- C. 2x+3y=-4
- D. 2x+3y=4
A car is moving at 120\(kmh^{-1}\). Find its speed in \(ms^{-1}\).
- A. 33.3\(ms^{-1}\)
- B. 66.6\(ms^{-1}\)
- C. 99.9\(ms^{-1}\)
- D. 120.0\(ms^{-1}\)
The functions f:x → 2x\(^2\) + 3x -7 and g:x →5x\(^2\) + 7x - 6 are defined on the set of real numbers, R. Find the values of x for which 3f(x) = g(x).
- A. x = -3 or -5
- B. x = -3 or 5
- C. x = 3 or -5
- D. x = 3 or 5
\(P = {x : 1 \leq x \leq 6}\) and \(Q = {x : 2 < x < 9}\) where \(x \in R\), find \(P \cap Q\).
- A. \({x : 2 \leq x \leq 6}\)
- B. \({x : 2 \leq x< 6}\)
- C. \({x : 2< x< 6}\)
- D. \({x : 2< x \leq 6}\)