Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

11th June 2025

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

1
Probability Equation Questions3 marks
A bag holds 3 red and n blue counters. The probability of taking a red is 3/10. Work out n.
2
Histograms3 marks
On a histogram the bar for 0 < x <= 5 has a frequency density of 1.2. How many values are in that class?
3
Bounds3 marks
A rectangle is 16 cm by 4 cm, each correct to the nearest cm. Work out the upper bound of its area.
4
Iteration3 marks
Use the iteration x(n+1) = cube root of (11x(n) + 3) with x(0) = 1. Work out x(1) to 3 decimal places.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 135. Work out y when x = 2.

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