Daily Practice

Higher Plus

21st March 1961

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
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts -4, -2, 4, 14. Work out the second difference, and the coefficient of n^2.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 16, y = 16. Work out y when x = 4.
4
The Cosine Rule3 marks
A triangle has sides of 11 cm and 15 cm with an angle of 78° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 5 red, 7 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 March 1961, including the monthly compilation PDF.