Daily Practice

Higher Plus

9th February 1991

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

1
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 4a + 2b and vector RS = 16a + 8b. What does this show about PQ and RS?
2
Probability Equation Questions3 marks
The probability of winning a game is 3/4. A player expects 12 wins. How many games did they play?
3
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 1.2, one 25 units wide with density 0.8. How many values in total?
4
Bounds3 marks
A car covers 330 m (to the nearest 10 m) in 9 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
5
Inverse and Composite Functions3 marks
f(x) = 4x - 4. Work out the inverse function f^-1(x).

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