Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

19th September 2025

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

1
Velocity Time Graphs2 marks
A train slows steadily from 15 m/s to rest in 8 seconds. Work out its deceleration.
2
The Cosine Rule3 marks
A triangle has sides 15 cm, 6 cm and 13 cm. Work out the angle opposite the 15 cm side, to 1 decimal place.
3
Probability Equation Questions3 marks
A bag holds 7 red and n blue counters. The probability of taking a red is 7/10. Work out n.
4
Histograms3 marks
On a histogram the bar for 10 < x <= 20 has a frequency density of 3.5. How many values are in that class?
5
Surds3 marks
Rationalise the denominator of 20/sqrt(2), giving your answer in its simplest form.

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