Daily Practice

Higher Plus

2nd September 1989

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

1
Bounds3 marks
A car covers 740 m (to the nearest 10 m) in 4 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) = 4x + 2 and g(x) = 4x - 9. Work out fg(5).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 4, y = 6. Work out y when x = 25.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = a. N is the point dividing AB in the ratio 3 : 1. Write vector ON in terms of q and a.
5
Probability Equation Questions3 marks
The probability of winning a game is 9/10. A player expects 99 wins. How many games did they play?

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