Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

18th November 2025

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 = 2, y = 40. Work out y when x = 5.
2
The Cosine Rule3 marks
A triangle has sides 20 cm, 12 cm and 14 cm. Work out the angle opposite the 20 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 4/5. Work out n.
4
Histograms3 marks
On a histogram the bar for 0 < x <= 10 has a frequency density of 1.5. How many values are in that class?
5
Surds3 marks
Expand and simplify (8 + sqrt(5))(8 - sqrt(5)).

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