Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

16th July 2013

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

1
Surds3 marks
Expand and simplify (9 + sqrt(5))(9 - sqrt(5)).
2
Rearranging Harder Formulae3 marks
Make x the subject of 5x + 2 = y(x + 2).
3
Velocity Time Graphs2 marks
A train slows steadily from 16 m/s to rest in 10 seconds. Work out its deceleration.
4
The Cosine Rule3 marks
A triangle has sides of 13 cm and 6 cm with an angle of 148° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 5 red, 4 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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