Daily Practice · Higher

Daily Practice - Higher

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

8th June 2025

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

1
Drawing Other Graphs: Cubic/Reciprocal2 marks
For the curve y = 12/x, work out y when x = -2, and write down the equation of its vertical asymptote.
2
Direct and Inverse Proportion3 marks
y is inversely proportional to x. When x = 8, y = 48. Work out y when x = 12.
3
Similar Shapes (Area and Volume)3 marks
Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 1536 cm^3. Work out the volume of the smaller.
4
Probability Trees3 marks
A bag holds 8 red and 2 blue counters. Two are taken without replacement. Work out the probability both are red.
5
Box Plots2 marks
A box plot has a minimum of 18 and a maximum of 77. Work out the range.

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