Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

14th January 2025

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

1
Surds3 marks
Expand and simplify (6 + sqrt(2))(6 - sqrt(2)).
2
Inverse and Composite Functions3 marks
f(x) = 7x + 2. Work out the inverse function f^-1(x).
3
Velocity Time Graphs2 marks
A train slows steadily from 14 m/s to rest in 4 seconds. Work out its deceleration.
4
The Cosine Rule3 marks
A triangle has sides of 5 cm and 8 cm with an angle of 84° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 5 red, 6 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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