Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
20th June 1998
- 1Pythagoras2 marks
A right-angled triangle has a hypotenuse of 5 cm and one shorter side of 3 cm. Work out the other shorter side.
- 2Venn Diagrams3 marks
In a Venn diagram, 15 are in A only, 11 in B only, 7 in both and 4 in neither. Work out the probability a random one is in both.
- 3Box Plots2 marks
A box plot has minimum 4, lower quartile 7, median 17, upper quartile 25 and maximum 31. Work out the interquartile range.
- 4Reverse Percentages3 marks
A bill is £408 including VAT at 20%. Work out the amount before VAT.
- 5Expanding Triple Brackets3 marks
Expand and simplify (x - 2)(x - 2)(x + 1).
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 sheets
Every sheet is deterministic: the same date always regenerates the same five questions. All of June 1998, including the monthly compilation PDF.