Daily Practice

Higher Plus

27th September 1988

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 = 100. Work out y when x = 5.
2
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = a. M is the midpoint. Write vector OM in terms of q and a.
3
Probability Equation Questions3 marks
The probability of winning a game is 1/4. A player expects 4 wins. How many games did they play?
4
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 1, 0.5, 3, 2. Which class contains the median?
5
Surds3 marks
Expand and simplify (2 + sqrt(5))(2 - sqrt(5)).

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