Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

10th December 2025

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

1
Bounds3 marks
A rectangle is 5 cm by 20 cm, each correct to the nearest cm. Work out the upper bound of its area.
2
Transforming Graphs y=f(x)3 marks
The point (1, 5) lies on y = f(x). Write down its image on y = f(x - 1).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 21. Work out y when x = 81.
4
The Cosine Rule3 marks
A triangle has sides of 16 cm and 18 cm with an angle of 146° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 3 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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