Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

23rd June 2009

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

1
Probability Equation Questions3 marks
A bag holds 5 counters, r of them red. Two are taken without replacement and P(both red) = 1/10. Work out r.
2
Histograms3 marks
On a histogram the bar for 60 < x <= 65 has a frequency density of 0.4. How many values are in that class?
3
Surds3 marks
Expand and simplify (3 + sqrt(10))(3 - sqrt(10)).
4
Factorising Harder Quadratics3 marks
Solve 4x^2 - 12x + 9 = 0.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 320. Work out y when x = 3.

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 June 2009, including the monthly compilation PDF.