Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

18th May 2023

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

1
Histograms2 marks
On a histogram, a 10-wide bar and a 20-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
2
Surds3 marks
Simplify sqrt(20) + sqrt(5), giving your answer in the form a sqrt(b).
3
Algebraic Fractions3 marks
Write 7/(x - 4) + 3/(x - 3) as a single fraction.
4
Velocity Time Graphs3 marks
A tram runs at 16 m/s for 10 s, then slows steadily to rest over 6 s. Work out its average speed for the whole journey, to 2 decimal places.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 11 cm by 8 cm by 9 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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 May 2023, including the monthly compilation PDF.