Daily Practice · Higher

Daily Practice - Higher

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

27th April 2025

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

1
Expanding Triple Brackets3 marks
Expand and simplify (x + 2)(x - 1)(x - 3).
2
Direct and Inverse Proportion3 marks
y is inversely proportional to x. When x = 2, y = 9. Work out y when x = 3.
3
Pythagoras2 marks
A right-angled triangle has a hypotenuse of 13 cm and one shorter side of 5 cm. Work out the other shorter side.
4
Venn Diagrams3 marks
In a Venn diagram, 13 are in A only, 18 in B only, 8 in both and 10 in neither. Work out the probability a random one is in both.
5
Box Plots2 marks
A box plot has a minimum of 17 and a maximum of 70. Work out the range.

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