Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
9th August 2026
- 1Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 128. Work out y when x = 2.
- 2Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = q. M is the point dividing AB in the ratio 2 : 1. Write vector OM in terms of b and q.
- 3Probability Equation Questions3 marks
The probability of winning a game is 2/5. A player expects 12 wins. How many games did they play?
- 4Histograms3 marks
On a histogram the bar for 50 < x <= 70 has a frequency density of 0.4. How many values are in that class?
- 5Bounds3 marks
x = 146 and y = 13, each correct to the nearest whole number. Work out the upper bound of x - y.
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