Daily Practice

Higher Plus

18th July 1967

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

1
Surds3 marks
Expand and simplify (2 + sqrt(6))(2 - sqrt(6)).
2
Iteration3 marks
Use the iteration x(n+1) = cube root of (5x(n) + 6) with x(0) = 1. Work out x(1) to 3 decimal places.
3
Velocity Time Graphs2 marks
A train slows steadily from 24 m/s to rest in 4 seconds. Work out its deceleration.
4
The Cosine Rule3 marks
A triangle has sides of 11 cm and 12 cm with an angle of 84° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 5 red, 6 blue and 2 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 July 1967, including the monthly compilation PDF.