Daily Practice · Higher

Daily Practice - Higher

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

7th March 2026

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

1
Similar Shapes (Area and Volume)3 marks
Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 297 cm^3. Work out the volume of the smaller.
2
Probability Trees3 marks
A bag holds 6 red and 6 blue counters. Two are taken without replacement. Work out the probability both are red.
3
Box Plots2 marks
A box plot has minimum 15, lower quartile 24, median 30, upper quartile 40 and maximum 46. Work out the interquartile range.
4
Fractional and Negative Indices3 marks
Work out 36^(3/2).
5
Drawing Other Graphs: Cubic/Reciprocal2 marks
For the curve y = 110/x, work out y when x = -10, and write down the equation of its vertical asymptote.

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