Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

18th October 2018

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

1
Surds3 marks
Simplify sqrt(75) + sqrt(48), giving your answer in the form a sqrt(b).
2
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 4x + 8.
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 17 cm and 14 cm with an angle of 87° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 6 red, 3 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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