Daily Practice

Higher Plus

31st March 1989

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Inverse and Composite Functions3 marks
f(x) = 6x - 5. Work out the inverse function f^-1(x).
2
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 128. Work out the positive value of x when y = 648.
3
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 5a + 5b and vector RS = 25a + 25b. What does this show about PQ and RS?
4
Probability Equation Questions3 marks
The probability of winning a game is 1/4. A player expects 8 wins. How many games did they play?
5
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 0.4, one 5 units wide with density 3. How many values in total?

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