Daily Practice · Higher

Daily Practice - Higher

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

16th May 2026

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

1
Expanding Triple Brackets3 marks
Expand and simplify (x + 5)(x - 3)(x + 2).
2
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 175. Work out y when x = 4.
3
Pythagoras2 marks
A right-angled triangle has a hypotenuse of 29 cm and one shorter side of 20 cm. Work out the other shorter side.
4
Venn Diagrams3 marks
In a Venn diagram, 12 are in A only, 17 in B only, 4 in both and 10 in neither. Work out the probability a random one is in both.
5
Box Plots2 marks
A box plot has minimum 1, lower quartile 7, median 9, upper quartile 17 and maximum 25. Work out the interquartile range.

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