Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

7th February 2025

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

1
Surds3 marks
Rationalise the denominator of 18/sqrt(3), giving your answer in its simplest form.
2
Transforming Graphs y=f(x)3 marks
The point (-4, 4) lies on y = f(x). Write down its image on y = f(x + 3).
3
Velocity Time Graphs2 marks
A train slows steadily from 19 m/s to rest in 5 seconds. Work out its deceleration.
4
The Sine Rule3 marks
In triangle ABC, angle A is 56°, side a is 15 cm and side b is 10 cm. Work out the acute angle B, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 6 red and 3 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?

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