Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

27th February 2025

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

1
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 54. Work out y when x = 5.
2
The Sine Rule3 marks
In triangle ABC, angle A is 44°, side a is 15 cm and side b is 10 cm. Work out the acute angle B, to 1 decimal place.
3
Conditional Probability3 marks
A bag holds 3 red and 6 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
4
Histograms3 marks
On a histogram the bar for 60 < x <= 70 has a frequency density of 1.5. How many values are in that class?
5
Surds3 marks
Simplify sqrt(48) + sqrt(48), giving your answer in the form a sqrt(b).

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 February 2025, including the monthly compilation PDF.