Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

3rd January 2010

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

1
Bounds3 marks
x = 65 and y = 20, each correct to the nearest whole number. Work out the upper bound of x - y.
2
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 4, 9, 18, 31, ...
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 50. Work out y when x = 5.
4
The Cosine Rule3 marks
A triangle has sides of 14 cm and 15 cm with an angle of 60° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 5 red, 6 blue and 2 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 January 2010, including the monthly compilation PDF.