Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

16th July 2002

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 = 25. Work out y when x = 5.
2
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = q. X is the point dividing AB in the ratio 3 : 1. Write vector OX in terms of a and q.
3
Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 36 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, 1, 3. Which class contains the median?
5
Surds3 marks
Expand and simplify (3 + sqrt(3))(3 - sqrt(3)).

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