Daily Practice · Higher Plus

Daily Practice - Higher Plus

10th February 1997

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

1
Bounds3 marks
A block has mass 730 g (to the nearest 10 g) and volume 13 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
2
Inverse and Composite Functions3 marks
f(x) = 8x - 11. Work out the inverse function f^-1(x).
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 6 cm and 6 cm with an angle of 29° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 3 red, 4 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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.

Any date always gives the same five questions, so a sheet can be set again or shared. All of February 1997, including the monthly compilation PDF.