Daily Practice · Higher

Daily Practice - Higher

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

29th March 2026

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

1
Expanding Triple Brackets3 marks
Expand and simplify (x + 4)(x - 1)(x - 4).
2
Direct and Inverse Proportion3 marks
y is inversely proportional to x. When x = 3, y = 12. Work out y when x = 12.
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, 10 are in A only, 5 in B only, 6 in both and 8 in neither. Work out the probability a random one is in both.
5
Box Plots2 marks
A box plot has a minimum of 12 and a maximum of 53. Work out the range.

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