Higher Plus
23rd February 1973
- 1Inverse and Composite Functions3 marks
f(x) = 4x + 3 and g(x) = 2x - 5. Work out fg(3).
- 2Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 252. Work out the positive value of x when y = 343.
- 3Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 5a + 4b and vector RS = 15a + 12b. What does this show about PQ and RS?
- 4Probability Equation Questions3 marks
The probability of winning a game is 3/5. A player expects 24 wins. How many games did they play?
- 5Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 1.2, one 5 units wide with density 1.4. How many values in total?
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