Daily Practice · Higher

Daily Practice - Higher

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

4th October 2025

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

1
Box Plots2 marks
A box plot has minimum 15, lower quartile 25, median 27, upper quartile 34 and maximum 39. Work out the interquartile range.
2
Fractional and Negative Indices3 marks
Work out 125^(2/3).
3
Expanding Triple Brackets3 marks
Expand and simplify (x + 5)(x - 4)(x - 5).
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 81. Work out y when x = 9.
5
Pythagoras2 marks
A right-angled triangle has a hypotenuse of 20 cm and one shorter side of 12 cm. Work out the other shorter side.

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