Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

16th September 2016

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

1
Surds3 marks
Rationalise the denominator of 18/sqrt(6), giving your answer in its simplest form.
2
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence -5, 0, 9, 22, ...
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 100. Work out y when x = 5.
4
The Cosine Rule3 marks
A triangle has sides 27 cm, 13 cm and 16 cm. Work out the angle opposite the 27 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 8 red and n blue counters. The probability of taking a red is 1/2. Work out n.

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.

Every sheet is deterministic: the same date always regenerates the same five questions. All of September 2016, including the monthly compilation PDF.