Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

19th April 2007

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

1
Surds3 marks
Simplify sqrt(50) + sqrt(2), giving your answer in the form a sqrt(b).
2
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 19, 40, 71, 112. Work out the second difference, and the coefficient of n^2.
3
Velocity Time Graphs2 marks
A train slows steadily from 12 m/s to rest in 10 seconds. Work out its deceleration.
4
The Cosine Rule3 marks
A triangle has sides of 13 cm and 5 cm with an angle of 26° 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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