Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

4th February 2021

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

1
Surds3 marks
Simplify sqrt(12) + sqrt(3), giving your answer in the form a sqrt(b).
2
Algebraic Fractions3 marks
Write 4/(x - 2) + 3/(x - 1) as a single fraction.
3
Velocity Time Graphs2 marks
A train slows steadily from 39 m/s to rest in 4 seconds. Work out its deceleration.
4
The Cosine Rule3 marks
A triangle has sides of 5 cm and 17 cm with an angle of 77° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 7 red, 7 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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