Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

15th August 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 sqrt(x). When x = 36, y = 36. Work out y when x = 25.
2
The Cosine Rule3 marks
A triangle has sides 13 cm, 14 cm and 10 cm. Work out the angle opposite the 13 cm side, to 1 decimal place.
3
Probability Equation Questions3 marks
A bag holds 8 red and n blue counters. The probability of taking a red is 2/3. Work out n.
4
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 2, 0.5, 1, 3. Which class contains the median?
5
Bounds3 marks
A car covers 700 m (to the nearest 10 m) in 4 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.

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