Daily Practice · Higher

Daily Practice - Higher

Grades 6-7 - Higher-tier method and manipulation.

← All tiers

20th June 1998

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

  1. 1
    Pythagoras2 marks

    A right-angled triangle has a hypotenuse of 5 cm and one shorter side of 3 cm. Work out the other shorter side.

  2. 2
    Venn 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.

  3. 3
    Box Plots2 marks

    A box plot has minimum 4, lower quartile 7, median 17, upper quartile 25 and maximum 31. Work out the interquartile range.

  4. 4
    Reverse Percentages3 marks

    A bill is £408 including VAT at 20%. Work out the amount before VAT.

  5. 5
    Expanding 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.