Daily Practice

Higher

25th October 1986

5 questions · 13 marks · Grades 6-7 · 61 question types in this band

1
Expanding Triple Brackets3 marks
Expand and simplify (x + 1)(x + 4)(x - 4).
2
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 200. Work out y when x = 7.
3
Pythagoras2 marks
A right-angled triangle has a hypotenuse of 41 cm and one shorter side of 40 cm. Work out the other shorter side.
4
Venn Diagrams3 marks
In a Venn diagram, 3 are in A only, 7 in B only, 10 in both and 4 in neither. Work out the probability a random one is in both.
5
Box Plots2 marks
A box plot has minimum 10, lower quartile 17, median 21, upper quartile 30 and maximum 39. Work out the interquartile range.

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 1986, including the monthly compilation PDF.