Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
20th December 2015
- 1Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 0.4, one 25 units wide with density 1.4. How many values in total?
- 2Bounds3 marks
x = 126 and y = 110, each correct to the nearest whole number. Work out the upper bound of x - y.
- 3Inverse and Composite Functions3 marks
f(x) = 4x - 8 and g(x) = 4x - 2. Work out fg(6).
- 4Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 72. Work out the positive value of x when y = 162.
- 5Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 2a - 5b and vector RS = 6a - 15b. What does this show about PQ and RS?
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 December 2015, including the monthly compilation PDF.