Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

18th March 2025

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

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 14 cm by 13 cm by 6 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
2
Probability Equation Questions3 marks
A bag holds 6 red and n blue counters. The probability of taking a red is 3/4. Work out n.
3
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 0.4, one 20 units wide with density 1.4. How many values in total?
4
Surds3 marks
Expand and simplify (5 + sqrt(10))(5 - sqrt(10)).
5
Iteration3 marks
Use the iteration x(n+1) = cube root of (8x(n) + 1) with x(0) = 4. Work out x(1) to 3 decimal places.

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