Daily Practice

Higher Plus

3rd June 1983

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

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 12 cm by 11 cm by 6 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
2
Conditional Probability3 marks
A bag holds 5 red and 3 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
3
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2.5, one 20 units wide with density 3.5. How many values in total?
4
Surds3 marks
Rationalise the denominator of 24/sqrt(2), giving your answer in its simplest form.
5
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 1, 11, 29, 55. Work out the second difference, and the coefficient of n^2.

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 June 1983, including the monthly compilation PDF.