Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

5th March 2011

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

1
Bounds3 marks
A car covers 440 m (to the nearest 10 m) in 2 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
2
Inverse and Composite Functions3 marks
f(x) = 6x - 3 and g(x) = 3x - 1. Work out fg(-2).
3
Velocity Time Graphs2 marks
A train slows steadily from 16 m/s to rest in 5 seconds. Work out its deceleration.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 7 cm and 15 cm and an area of 45.47 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 8 counters, r of them red. Two are taken without replacement and P(both red) = 3/14. Work out r.

You are looking at an earlier sheet. Today's sheet is the one that adds a day.

Your run is kept in this browser only, and there is no account.

Every sheet is deterministic: the same date always regenerates the same five questions. All of March 2011, including the monthly compilation PDF.