Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

8th February 2026

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

1
Bounds3 marks
x = 164 and y = 116, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Rearranging Harder Formulae3 marks
Make x the subject of 3x + 6 = y(x + 6).
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 48. Work out y when x = 4.
4
The Cosine Rule3 marks
A triangle has sides of 16 cm and 6 cm with an angle of 114° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 6 red, 6 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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