Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

15th August 2013

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

1
Surds3 marks
Simplify sqrt(80) + sqrt(20), giving your answer in the form a sqrt(b).
2
Iteration3 marks
Use the iteration x(n+1) = cube root of (9x(n) + 5) with x(0) = 1. Work out x(1) to 3 decimal places.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 108. Work out y when x = 6.
4
The Cosine Rule3 marks
A triangle has sides of 13 cm and 18 cm with an angle of 108° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 3 red, 6 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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 August 2013, including the monthly compilation PDF.