Daily Practice

Higher Plus

15th December 1973

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

1
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 32. Work out y when x = 4.
2
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = b. N is the point dividing AB in the ratio 2 : 1. Write vector ON in terms of a and b.
3
Probability Equation Questions3 marks
The probability of winning a game is 4/5. A player expects 16 wins. How many games did they play?
4
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 3, 0.5, 1, 2. Which class contains the median?
5
Bounds3 marks
A car covers 640 m (to the nearest 10 m) in 3 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.

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