Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
20th June 2014
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 14 cm by 4 cm by 8 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 2Conditional Probability3 marks
A bag holds 9 red and 4 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 3Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 2.5, one 25 units wide with density 0.6. How many values in total?
- 4Surds3 marks
Rationalise the denominator of 18/sqrt(3), giving your answer in its simplest form.
- 5Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 6x + 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.
Recent Higher Plus sheets
Every sheet is deterministic: the same date always regenerates the same five questions. All of June 2014, including the monthly compilation PDF.