Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

13th December 2025

5 questions · 13 marks · Grades 8-9 · 51 question types in this band

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 5 cm by 6 cm by 13 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
2
Probability Equation Questions3 marks
A bag holds 4 red and n blue counters. The probability of taking a red is 4/11. Work out n.
3
Histograms2 marks
On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 3. How many more values are in the wider class?
4
Bounds3 marks
A car covers 170 m (to the nearest 10 m) in 5 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
5
Proof2 marks
In an algebraic proof, how would you write the number two more than an even number in terms of an integer n?

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