Addition Rule for Probability · CSEC Additional Mathematics
59 past-paper questions on Addition Rule for Probability, part of Probability Theory, from every CSEC Additional Mathematics paper on Quelpr.
- 1(a)2 marks· Additional Mathematics Q1 1(a)Find the value of g(f(2)).
- 1(a)(i)2 marks· Additional Mathematics Q1 1(a)(i)Determine the inverse of f(x).
- 1(a)(i)1 mark· Additional Mathematics Q1 1(a)(i)Show that f is NOT one-to-one.
- 1(a)(i)2 marks· Additional Mathematics Q1 1(a)(i)Determine the range of the function.
- 1(a)(ii)1 mark· Additional Mathematics Q1 1(a)(ii)Find f⁻¹(x).
- 1(a)(ii)1 mark· Additional Mathematics Q1 1(a)(ii)If f⁻¹(8) = 5, find the value of p.
- 1(a)(ii)a)2 marks· Additional Mathematics Q1 1(a)(ii)a)Find fg(x), and clearly state its domain.
- 1(a)(ii)b)3 marks· Additional Mathematics Q1 1(a)(ii)b)Determine the inverse, g⁻¹, of g and sketch on the same pair of axes, the graphs of g and g⁻¹.
- 1(a)(iii)2 marks· Additional Mathematics Q1 1(a)(iii)Sketch the graphs of f(x) and f⁻¹(x) on the same axes.
- 1(a)(iv)1 mark· Additional Mathematics Q1 1(a)(iv)Comment on the relationship between the two graphs.
- 1(b)3 marks· Additional Mathematics Q1 1(b)Determine the inverse of h(x).
- 1(b)(i)3 marks· Additional Mathematics Q1 1(b)(i)Find an expression for the inverse function f⁻¹(x).
- 1(b)(ii)2 marks· Additional Mathematics Q1 1(b)(ii)Write an expression for the composite function, fg(x). Simplify your answer.
- 1(c)(i)2 marks· Additional Mathematics Q1 1(c)(i)Given that T = kp^(b/c), make c the subject of the formula.
- 4(i)2 marks· Additional Mathematics Q4 4(i)Find the number of different selections she can make.
- 4(i)3 marks· Additional Mathematics Q4 4(i)Sketch, on the same diagram, the graphs of y = |x - 3| and y = |2x - 9|.
- 4(ii)2 marks· Additional Mathematics Q4 4(ii)Solve the equation |2x - 9| = |x - 3|.
- 4(ii)3 marks· Additional Mathematics Q4 4(ii)In how many of these selections will there be more watercolour paintings than oil paintings?
- 5(i)2 marks· Additional Mathematics Q5 5(i)Find the coefficient of x³ in the expansion of (1 + 3x)⁸.
- 5(ii)3 marks· Additional Mathematics Q5 5(ii)Find the coefficient of x³ in the expansion of (1 - 4x)(1 + 3x)⁸.
- 7(a)(ii)4 marks· Additional Mathematics Q7 7(a)(ii)Find the probability that the motorist has to stop at AT LEAST TWO traffic lights.
- 7(b)(i)2 marks· Additional Mathematics Q7 7(b)(i)Determine P(A∩B).
- 7(i)3 marks· Additional Mathematics Q7 7(i)Find the matrix X such that X = A² + 2B.
- 7(ii)4 marks· Additional Mathematics Q7 7(ii)Find the matrix Y such that YA = B.
- 9(i)2 marks· Additional Mathematics Q9 9(i)Calculate AB.
- 9(ii)2 marks· Additional Mathematics Q9 9(ii)Calculate BC.
- 9(iii)4 marks· Additional Mathematics Q9 9(iii)Find the matrix X such that AX = B.
- 10(i)3 marks· Additional Mathematics Q10 10(i)Obtain expressions for f⁻¹ and g⁻¹.
- 10(ii)3 marks· Additional Mathematics Q10 10(ii)Determine the value of a for which f⁻¹g(4) = 2.
- 10(iii)3 marks· Additional Mathematics Q10 10(iii)If a = 9, show that there is only one value of x for which g(x) = g⁻¹(x).
- 11(ii)1 mark· Additional Mathematics Q11 11(ii)Find f²(1).
- 11(iii)3 marks· Additional Mathematics Q11 11(iii)Find an expression for f⁻¹(x).
- 11(iv)2 marks· Additional Mathematics Q11 11(iv)Find g⁻¹(2).
- 11(v)4 marks· Additional Mathematics Q11 11(v)Find the value of x for which fg(x) = 38.
- Q71 mark · multiple choice· CSEC Additional Mathematics · 2013 · Paper 1The set of values of
xfor which3x + 2 > x - 2is - Q81 mark · multiple choice· CSEC Additional Mathematics · 2013 · Paper 1If
f(x) = 3x - 4andfg(x) = x, theng(x)is - Q91 mark · multiple choice· CSEC Additional Mathematics · 2013 · Paper 1Which one of the graphs below is a function?
- Q101 mark · multiple choice· CSEC Additional Mathematics · 2013 · Paper 1A function
his defined byh : x \rightarrow 5x + 2. What ish(2a + 3)? - Q111 mark · multiple choice· CSEC Additional Mathematics · 2013 · Paper 1A function is defined by
f : x \rightarrow \frac{2}{x - 3},\ x \neq 3The value off^{-1}(1)is - Q71 mark · multiple choice· CSEC Additional Mathematics · 2014 · Paper 1The set of values of
xfor which3x + 2 > x - 2is - Q81 mark · multiple choice· CSEC Additional Mathematics · 2014 · Paper 1If
f(x) = 3x - 4andfg(x) = x, theng(x)is - Q91 mark · multiple choice· CSEC Additional Mathematics · 2014 · Paper 1The value of
g^{-1}[f(3)]is - Q101 mark · multiple choice· CSEC Additional Mathematics · 2014 · Paper 1Which of the graphs below is a function?
- Q111 mark · multiple choice· CSEC Additional Mathematics · 2014 · Paper 1A function is defined by
f: x \to \frac{1}{x + 1},x \neq -1. The value off^{-1}(1)is - Q81 mark · multiple choice· CSEC Additional Mathematics · 2015 · Paper 1Functions
fandgare defined byf : x \rightarrow 2x - 5 \text{ and } g : x \rightarrow 4 + \frac{3}{x}, x \neq 0.The composite functiongfis defined by - Q101 mark · multiple choice· CSEC Additional Mathematics · 2015 · Paper 1If function
m : x \rightarrow 5 + 2x, thenm(4 - 2a)is - Q111 mark · multiple choice· CSEC Additional Mathematics · 2015 · Paper 1If
f : x \rightarrow 2\left(\frac{x}{3} + 5\right), thenf^{-1}(x)is equal to - Q81 mark · multiple choice· CSEC Additional Mathematics · 2016 · Paper 1If
f(x) = \frac{1}{8}x^3,x \in \mathbb{R}and-2 \le x \le 4, then - Q91 mark · multiple choice· CSEC Additional Mathematics · 2016 · Paper 1The functions
fandgare defined byf: x \to 2x - 5andg: x \to 4 + \frac{3}{x},x \ne 0. The composite functiongfis defined by - Q101 mark · multiple choice· CSEC Additional Mathematics · 2016 · Paper 1Which of the following graphs is a function?
- Q111 mark · multiple choice· CSEC Additional Mathematics · 2016 · Paper 1A function is defined by
f: x \to \frac{1}{x + 1},x \ne -1. The value off^{-1}(1)is - Q81 mark · multiple choice· CSEC Additional Mathematics · 2018 · Paper 1If
f(x) = \frac{1}{8}x^3,x \in \mathbb{R}and-2 \le x \le 4, then - Q91 mark · multiple choice· CSEC Additional Mathematics · 2018 · Paper 1If
f : x \to 2\left(\frac{x}{3} + 5\right), thenf^{-1}(x)is equal to - Q101 mark · multiple choice· CSEC Additional Mathematics · 2018 · Paper 1If
f(x) = \frac{4x + 1}{x - 2},x \ne 2,x \in \mathbb{R}, thenff(x) = - Q111 mark · multiple choice· CSEC Additional Mathematics · 2018 · Paper 1Which of the following graphs depicts a function?
- Q71 mark · multiple choice· CSEC Additional Mathematics · May/June 2017 · Paper 1The set of values of
xfor which3x + 2 > x - 2is - Q91 mark · multiple choice· CSEC Additional Mathematics · May/June 2017 · Paper 1The functions
fandgare defined as follows:f : x \to \frac{x+1}{x-1}, \quad x \ne 1, x \in \mathbb{R}g : x \to 2x + 1, \quad x \ne \frac{1}{2}, x \in \mathbb{R}The functionfg(x)is given by - Q101 mark · multiple choice· CSEC Additional Mathematics · May/June 2017 · Paper 1If function
m : x \to 5 + 2x, thenm(4 - 2a)is - Q111 mark · multiple choice· CSEC Additional Mathematics · May/June 2017 · Paper 1If
f^{-1} : x \to x^2 - 1,x \ge 0, then