Daily Practice

Higher Plus

19th October 1981

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

1
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 1.2, one 20 units wide with density 3.5. How many values in total?
2
Bounds3 marks
A block has mass 760 g (to the nearest 10 g) and volume 23 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
3
Inverse and Composite Functions3 marks
f(x) = 5x - 9. Work out the inverse function f^-1(x).
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 81. Work out the positive value of x when y = 144.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 3a - 5b and vector RS = 6a - 10b. 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.

Any date always gives the same five questions, so a sheet can be set again or shared. All of October 1981, including the monthly compilation PDF.