Daily Practice

Higher Plus

9th December 1975

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

1
Surds3 marks
Expand and simplify (2 + sqrt(10))(2 - sqrt(10)).
2
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 0, 11, 28, 51, ...
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 42. Work out y when x = 25.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 16 cm and 14 cm and an area of 79.20 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 11 counters, r of them red. Two are taken without replacement and P(both red) = 3/55. 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 December 1975, including the monthly compilation PDF.