Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
4th October 2022
- 1Inverse and Composite Functions3 marks
f(x) = 3x - 9. Work out the inverse function f^-1(x).
- 2Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 54. Work out the positive value of x when y = 96.
- 3Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 5a + 2b and vector RS = 15a + 6b. What does this show about PQ and RS?
- 4Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 20 wins. How many games did they play?
- 5Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 0.4, one 20 units wide with density 0.6. How many values in total?
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