Daily Practice · Higher Plus

Daily Practice - Higher Plus

22nd August 1995

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 = 18. Work out y when x = 3.
2
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = p. X is the point dividing AB in the ratio 1 : 3. Write vector OX in terms of q and p.
3
Probability Equation Questions3 marks
The probability of winning a game is 2/5. A player expects 10 wins. How many games did they play?
4
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 2, 0.5, 3, 1. Which class contains the median?
5
Surds3 marks
Expand and simplify (5 + sqrt(2))(5 - sqrt(2)).

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