Daily Practice · Higher

Daily Practice - Higher

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

24th January 2026

5 questions · 12 marks · Grades 6-7 · 61 question types in this band

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
Venn Diagrams3 marks
In a Venn diagram, 10 are in A only, 15 in B only, 10 in both and 7 in neither. Work out the probability a random one is in both.
3
Box Plots2 marks
A box plot has minimum 14, lower quartile 24, median 33, upper quartile 41 and maximum 51. Work out the interquartile range.
4
Fractional and Negative Indices2 marks
Write 9^-2 as a fraction.
5
Expanding Triple Brackets3 marks
Expand and simplify (x - 1)(x - 5)(x - 3).

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