Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
15th July 2025
- 1Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 18. Work out y when x = 3.
- 2Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = m. P is the point dividing AB in the ratio 2 : 1. Write vector OP in terms of p and m.
- 3Probability Equation Questions3 marks
The probability of winning a game is 3/8. A player expects 30 wins. How many games did they play?
- 4Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 3, 2, 0.5, 1. Which class contains the median?
- 5Surds3 marks
Expand and simplify (9 + sqrt(2))(9 - sqrt(2)).
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