Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

11th February 2016

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

1
Conditional Probability3 marks
A bag holds 3 red, 4 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
2
Histograms3 marks
On a histogram the bar for 40 < x <= 45 has a frequency density of 2.4. How many values are in that class?
3
Surds3 marks
Simplify sqrt(80) + sqrt(180), giving your answer in the form a sqrt(b).
4
Algebraic Fractions3 marks
Simplify (x^2 - x)/(x - 1).
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 16. Work out y when x = 4.

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 February 2016, including the monthly compilation PDF.