Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

23rd October 2017

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

1
Bounds3 marks
A block has mass 590 g (to the nearest 10 g) and volume 20 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
2
Iteration3 marks
Use the iteration x(n+1) = cube root of (5x(n) + 5) with x(0) = 2. Work out x(1) to 3 decimal places.
3
Velocity Time Graphs2 marks
A train slows steadily from 22 m/s to rest in 5 seconds. Work out its deceleration.
4
The Cosine Rule3 marks
A triangle has sides of 16 cm and 9 cm with an angle of 71° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 7 red, 3 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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