Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

1st December 2021

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

1
Bounds3 marks
A rectangle is 27 cm by 7 cm, each correct to the nearest cm. Work out the upper bound of its area.
2
Rearranging Harder Formulae3 marks
Make x the subject of 6x + 3 = y(x + 3).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 40. Work out y when x = 4.
4
The Cosine Rule3 marks
A triangle has sides of 11 cm and 7 cm with an angle of 28° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 7 red, 6 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

You are looking at an earlier sheet. Today's sheet is the one that adds a day.

Your run is kept in this browser only, and there is no account.

Every sheet is deterministic: the same date always regenerates the same five questions. All of December 2021, including the monthly compilation PDF.