Daily Practice

Higher Plus

4th September 1984

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

1
Surds3 marks
Expand and simplify (4 + sqrt(5))(4 - sqrt(5)).
2
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 2, 19, 46, 83. 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 = 25, y = 35. Work out y when x = 16.
4
The Cosine Rule3 marks
A triangle has sides 14 cm, 8 cm and 15 cm. Work out the angle opposite the 14 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 8 red and n blue counters. The probability of taking a red is 8/13. Work out n.

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 September 1984, including the monthly compilation PDF.