Daily Practice

Higher Plus

20th December 1972

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 = 3, y = 50. Work out y when x = 5.
2
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = q. M is the point dividing AB in the ratio 1 : 2. Write vector OM in terms of b and q.
3
Probability Equation Questions3 marks
The probability of winning a game is 1/10. A player expects 11 wins. How many games did they play?
4
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 3, 0.5, 2, 1. Which class contains the median?
5
Bounds3 marks
A rectangle is 13 cm by 27 cm, each correct to the nearest cm. Work out the upper bound of its area.

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