Daily Practice · Higher Plus

Daily Practice - Higher Plus

3rd November 1992

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

1
Surds3 marks
Expand and simplify (3 + sqrt(2))(3 - sqrt(2)).
2
Algebraic Fractions3 marks
Simplify (x^2 + 2x - 15)/(x - 3).
3
Velocity Time Graphs2 marks
A train slows steadily from 21 m/s to rest in 5 seconds. Work out its deceleration.
4
The Cosine Rule3 marks
A triangle has sides of 14 cm and 15 cm with an angle of 89° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 5 red, 7 blue and 6 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 November 1992, including the monthly compilation PDF.