Daily Practice

Higher Plus

25th January 1983

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Surds3 marks
Expand and simplify (3 + sqrt(6))(3 - sqrt(6)).
2
Algebraic Fractions3 marks
Simplify (x^2 - 11x + 28)/(x - 7).
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 75. Work out y when x = 5.
4
The Cosine Rule3 marks
A triangle has sides of 13 cm and 17 cm with an angle of 47° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 6 red, 3 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 January 1983, including the monthly compilation PDF.