Daily Practice

Higher Plus

23rd June 1987

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

1
Velocity Time Graphs2 marks
A train slows steadily from 30 m/s to rest in 5 seconds. Work out its deceleration.
2
The Cosine Rule3 marks
A triangle has sides of 7 cm and 8 cm with an angle of 103° between them. Work out the third side, to 1 decimal place.
3
Conditional Probability3 marks
A bag holds 3 red, 7 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
4
Histograms3 marks
On a histogram the bar for 20 < x <= 25 has a frequency density of 0.4. How many values are in that class?
5
Surds3 marks
Expand and simplify (3 + sqrt(3))(3 - sqrt(3)).

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 1987, including the monthly compilation PDF.