Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

26th January 2000

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

1
Bounds3 marks
A rectangle is 13 cm by 27 cm, each correct to the nearest cm. Work out the upper bound of its area.
2
Completing the Square3 marks
Write x^2 - 10x - 3 in the form (x + a)^2 + b.
3
Velocity Time Graphs2 marks
A train slows steadily from 32 m/s to rest in 4 seconds. Work out its deceleration.
4
The Cosine Rule3 marks
A triangle has sides of 13 cm and 12 cm with an angle of 113° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 7 red, 4 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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