Daily Practice

Higher Plus

3rd June 1960

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

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 6 cm by 14 cm by 9 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 4 red and 4 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 1.5, one 10 units wide with density 3.5. How many values in total?
4
Surds3 marks
Rationalise the denominator of 18/sqrt(2), giving your answer in its simplest form.
5
Iteration3 marks
Use the iteration x(n+1) = cube root of (12x(n) + 1) with x(0) = 1. Work out x(1) to 3 decimal places.

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 1960, including the monthly compilation PDF.