Daily Practice

Higher Plus

17th September 1985

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

1
Surds3 marks
Expand and simplify (6 + sqrt(7))(6 - sqrt(7)).
2
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 5, 4, 5, 8, ...
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 192. Work out y when x = 2.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 16 cm and 7 cm and an area of 28.00 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 7 counters, r of them red. Two are taken without replacement and P(both red) = 2/7. Work out r.

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 1985, including the monthly compilation PDF.