Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

9th October 2025

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

1
Probability Equation Questions3 marks
A bag holds 5 red and n blue counters. The probability of taking a red is 5/13. Work out n.
2
Histograms3 marks
On a histogram the bar for 60 < x <= 80 has a frequency density of 2.4. How many values are in that class?
3
Surds3 marks
Simplify sqrt(20) + sqrt(20), giving your answer in the form a sqrt(b).
4
Proof3 marks
Prove that the sum of 5 consecutive integers is always a multiple of 5. State the simplified sum you would use.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 108. Work out y when x = 2.

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