Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

27th September 2022

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

1
Surds3 marks
Expand and simplify (2 + sqrt(11))(2 - sqrt(11)).
2
Proof2 marks
In an algebraic proof, how would you write the product of two consecutive integers in terms of an integer n?
3
Velocity Time Graphs2 marks
A train slows steadily from 19 m/s to rest in 10 seconds. Work out its deceleration.
4
The Cosine Rule3 marks
A triangle has sides of 11 cm and 14 cm with an angle of 66° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 4 red, 5 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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