Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

14th September 2025

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

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 13 cm by 14 cm by 12 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
2
Probability Equation Questions3 marks
A bag holds 3 red and n blue counters. The probability of taking a red is 3/7. Work out n.
3
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 1.2, one 10 units wide with density 1.4. How many values in total?
4
Bounds3 marks
x = 99 and y = 45, each correct to the nearest whole number. Work out the upper bound of x - y.
5
Algebraic Fractions3 marks
Write 3/(x + 6) + 2/(x - 6) as a single fraction.

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