Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
10th August 2017
- 1Probability Equation Questions3 marks
A bag holds 9 counters, r of them red. Two are taken without replacement and P(both red) = 5/12. Work out r.
- 2Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 0.5, 3, 1, 2. Which class contains the median?
- 3Surds3 marks
Simplify sqrt(32) + sqrt(72), giving your answer in the form a sqrt(b).
- 4Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 676 and y = x + 14 simultaneously.
- 5Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 18. 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.
Recent Higher Plus sheets
Every sheet is deterministic: the same date always regenerates the same five questions. All of August 2017, including the monthly compilation PDF.