Daily Practice · Higher

Daily Practice - Higher

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

5th September 2026

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

1
Box Plots2 marks
A box plot has minimum 12, lower quartile 22, median 32, upper quartile 40 and maximum 47. Work out the interquartile range.
2
Surds2 marks
Write sqrt(18) in the form a sqrt(b), where b is as small as possible.
3
Expanding Triple Brackets3 marks
Expand and simplify (x - 2)(x - 4)(x + 5).
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 125. Work out y when x = 8.
5
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.

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