Daily Practice

Higher Plus

7th July 1961

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

1
Surds3 marks
Rationalise the denominator of 27/sqrt(3), giving your answer in its simplest form.
2
Quadratic Inequalities3 marks
Solve x^2 + 5x - 6 < 0.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 12. Work out y when x = 2.
4
The Cosine Rule3 marks
A triangle has sides 9 cm, 9 cm and 10 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 7 red and n blue counters. The probability of taking a red is 7/9. 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 July 1961, including the monthly compilation PDF.