Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

13th January 2026

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

1
Conditional Probability3 marks
A bag holds 8 red and 3 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
2
Histograms3 marks
On a histogram the bar for 60 < x <= 70 has a frequency density of 2.4. How many values are in that class?
3
Surds3 marks
Expand and simplify (9 + sqrt(5))(9 - sqrt(5)).
4
Transforming Graphs y=f(x)3 marks
The point (-6, 4) lies on y = f(x). Write down its image on y = f(-x).
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 48. Work out y when x = 4.

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 January 2026, including the monthly compilation PDF.