Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

23rd March 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 = 2, y = 24. Work out y when x = 3.
2
The Cosine Rule3 marks
A triangle has sides 14 cm, 16 cm and 7 cm. Work out the angle opposite the 14 cm side, to 1 decimal place.
3
Probability Equation Questions3 marks
A bag holds 4 red and n blue counters. The probability of taking a red is 2/5. Work out n.
4
Histograms3 marks
On a histogram the bar for 0 < x <= 5 has a frequency density of 0.4. How many values are in that class?
5
Bounds3 marks
x = 141 and y = 17, each correct to the nearest whole number. Work out the upper bound of x - y.

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 March 2025, including the monthly compilation PDF.