Daily Practice

Higher Plus

22nd August 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 = 2, y = 108. Work out y when x = 6.
2
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = c. M is the point dividing AB in the ratio 2 : 1. Write vector OM in terms of a and c.
3
Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 60 wins. How many games did they play?
4
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 0.5, 1, 3, 2. Which class contains the median?
5
Surds3 marks
Expand and simplify (9 + sqrt(7))(9 - sqrt(7)).

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