Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
11th January 2026
- 1Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 63. Work out y when x = 16.
- 2Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = b. X is the point dividing AB in the ratio 1 : 2. Write vector OX in terms of q and b.
- 3Probability Equation Questions3 marks
The probability of winning a game is 1/4. A player expects 14 wins. How many games did they play?
- 4Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 1, 2, 0.5, 3. Which class contains the median?
- 5Bounds3 marks
x = 94 and y = 83, each correct to the nearest whole number. Work out the upper bound of x - y.
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