Daily Practice

Higher Plus

25th April 1988

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 = a - 6b and vector RS = 2a - 12b. What does this show about PQ and RS?
2
Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 70 wins. How many games did they play?
3
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 1.5, one 20 units wide with density 3.5. How many values in total?
4
Bounds3 marks
A block has mass 300 g (to the nearest 10 g) and volume 11 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
5
Inverse and Composite Functions3 marks
f(x) = 3x + 11. Work out the inverse function f^-1(x).

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