Daily Practice

Higher Plus

26th November 1988

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

1
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 25, y = 25. Work out y when x = 49.
2
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = b. P is the point dividing AB in the ratio 2 : 1. Write vector OP in terms of p and b.
3
Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 30 wins. How many games did they play?
4
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 1, 0.5, 2, 3. Which class contains the median?
5
Bounds3 marks
A car covers 370 m (to the nearest 10 m) in 5 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.

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