Daily Practice

Higher Plus

22nd February 1972

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

1
Surds3 marks
Expand and simplify (5 + sqrt(5))(5 - sqrt(5)).
2
Completing the Square3 marks
Write x^2 + 6x + 9 in the form (x + a)^2 + b.
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 7 cm and 6 cm with an angle of 76° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 6 red, 3 blue and 3 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 1972, including the monthly compilation PDF.