Daily Practice · Higher

Daily Practice - Higher

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

7th December 2025

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

1
Pythagoras2 marks
A right-angled triangle has a hypotenuse of 41 cm and one shorter side of 9 cm. Work out the other shorter side.
2
Venn Diagrams3 marks
In a Venn diagram, 15 are in A only, 16 in B only, 3 in both and 7 in neither. Work out the probability a random one is in both.
3
Box Plots2 marks
A box plot has a minimum of 2 and a maximum of 42. Work out the range.
4
Reverse Percentages3 marks
A bill is £168 including VAT at 20%. Work out the amount before VAT.
5
Expanding Triple Brackets3 marks
Expand and simplify (x + 2)(x - 1)(x + 3).

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