Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

9th June 2020

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

1
Surds3 marks
Expand and simplify (7 + sqrt(10))(7 - sqrt(10)).
2
Quadratic Inequalities3 marks
Solve x^2 + 3x > 0.
3
Velocity Time Graphs2 marks
A train slows steadily from 27 m/s to rest in 4 seconds. Work out its deceleration.
4
The Cosine Rule3 marks
A triangle has sides of 12 cm and 11 cm with an angle of 82° 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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