Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

3rd November 2015

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Surds3 marks
Expand and simplify (9 + sqrt(10))(9 - sqrt(10)).
2
Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 225 and y = x + 3 simultaneously.
3
Velocity Time Graphs2 marks
A train slows steadily from 38 m/s to rest in 8 seconds. Work out its deceleration.
4
The Cosine Rule3 marks
A triangle has sides of 5 cm and 13 cm with an angle of 119° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 6 red, 7 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 November 2015, including the monthly compilation PDF.