Daily Practice

Higher Plus

28th October 1975

5 questions · 13 marks · Grades 8-9 · 51 question types in this band

1
Surds3 marks
Expand and simplify (3 + sqrt(10))(3 - sqrt(10)).
2
Proof2 marks
In an algebraic proof, how would you write an odd number in terms of an integer n?
3
Velocity Time Graphs2 marks
A train slows steadily from 24 m/s to rest in 8 seconds. Work out its deceleration.
4
The Sine Rule3 marks
In triangle ABC, angle A is 39°, side a is 15 cm and side b is 6 cm. Work out the acute angle B, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 7 red and 3 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?

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 October 1975, including the monthly compilation PDF.