Daily Practice

Higher Plus

30th June 1978

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

1
Conditional Probability3 marks
A bag holds 6 red, 6 blue and 6 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 60 < x <= 70 has a frequency density of 0.4. How many values are in that class?
3
Surds3 marks
Rationalise the denominator of 6/sqrt(2), giving your answer in its simplest form.
4
Inverse and Composite Functions3 marks
f(x) = 3x + 12. Work out the inverse function f^-1(x).
5
Velocity Time Graphs2 marks
A train slows steadily from 18 m/s to rest in 10 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 June 1978, including the monthly compilation PDF.