Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

25th February 2026

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

1
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2, one 20 units wide with density 1.4. How many values in total?
2
Bounds3 marks
A rectangle is 18 cm by 18 cm, each correct to the nearest cm. Work out the upper bound of its area.
3
Rearranging Harder Formulae3 marks
Make x the subject of 3x + 2 = y(x + 2).
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 96. Work out the positive value of x when y = 96.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 6a - 6b and vector RS = 30a - 30b. What does this show about PQ and RS?

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