Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
18th September 2015
- 1Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 25, y = 45. Work out y when x = 36.
- 2The Sine Rule3 marks
In triangle ABC, angle A is 56°, side a is 17 cm and side b is 11 cm. Work out the acute angle B, to 1 decimal place.
- 3Conditional Probability3 marks
A bag holds 8 red and 5 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 4Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 0.5, 3, 2, 1. Which class contains the median?
- 5Surds3 marks
Rationalise the denominator of 12/sqrt(6), giving your answer in its simplest form.
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 September 2015, including the monthly compilation PDF.