Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

23rd March 2026

5 questions · 13 marks · Grades 8-9 · 51 question types in this band

1
Trigonometric and Exponential Graphs2 marks
The curve y = cos x° is drawn for 0 <= x <= 360. Write down the value of y when x = 270.
2
Velocity Time Graphs3 marks
A tram runs at 17 m/s for 20 s, then slows steadily to rest over 10 s. Work out its average speed for the whole journey, to 2 decimal places.
3
3d Pythagoras and Trigonometry3 marks
A cuboid measures 11 cm by 13 cm by 8 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
4
Probability Equation Questions3 marks
A bag holds 6 red and n blue counters. The probability of taking a red is 3/5. Work out n.
5
Histograms2 marks
On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 2.5. How many more values are in the wider class?

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