Daily Practice

Higher Plus

12th October 1981

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

1
Conditional Probability3 marks
A bag holds 7 red, 7 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
2
Histograms3 marks
On a histogram the bar for 10 < x <= 15 has a frequency density of 0.4. How many values are in that class?
3
Bounds3 marks
A block has mass 760 g (to the nearest 10 g) and volume 17 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
4
Proof2 marks
In an algebraic proof, how would you write three consecutive even numbers in terms of an integer n?
5
Velocity Time Graphs2 marks
A train slows steadily from 12 m/s to rest in 8 seconds. Work out its deceleration.

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 October 1981, including the monthly compilation PDF.