Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

29th July 2025

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

1
Probability Equation Questions3 marks
A bag holds 5 counters, r of them red. Two are taken without replacement and P(both red) = 3/10. Work out r.
2
Histograms3 marks
On a histogram the bar for 30 < x <= 40 has a frequency density of 1.2. How many values are in that class?
3
Surds3 marks
Expand and simplify (4 + sqrt(11))(4 - sqrt(11)).
4
Completing the Square3 marks
Write x^2 + 10x - 11 in the form (x + a)^2 + b.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 48. Work out y when x = 3.

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