Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

11th April 2026

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 135. Work out y when x = 5.
2
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = q. X is the point dividing AB in the ratio 2 : 1. Write vector OX in terms of c and q.
3
Probability Equation Questions3 marks
The probability of winning a game is 7/10. A player expects 14 wins. How many games did they play?
4
Histograms3 marks
On a histogram the bar for 50 < x <= 55 has a frequency density of 2.4. How many values are in that class?
5
Bounds3 marks
A car covers 740 m (to the nearest 10 m) in 7 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.

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