Daily Practice

Higher Plus

22nd March 1986

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

1
Bounds3 marks
A car covers 680 m (to the nearest 10 m) in 7 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
2
Inverse and Composite Functions3 marks
f(x) = 5x + 11. Work out the inverse function f^-1(x).
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 108. Work out y when x = 6.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = p. N is the point dividing AB in the ratio 2 : 1. Write vector ON in terms of a and p.
5
Probability Equation Questions3 marks
The probability of winning a game is 4/5. A player expects 60 wins. How many games did they play?

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