Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

3rd March 2026

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Histograms2 marks
On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 2. How many more values are in the wider class?
2
Surds3 marks
Expand and simplify (2 + sqrt(5))(2 - sqrt(5)).
3
Algebraic Fractions3 marks
Write 2/(x + 2) + 4/(x - 2) as a single fraction.
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 7 m/s to 22 m/s over 8 seconds. Use the area under the velocity-time graph to find the distance travelled.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 13 cm by 13 cm by 3 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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