Daily Practice · Higher

Daily Practice - Higher

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

30th October 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 = 4, and write down the equation of its vertical asymptote.
2
Repeated Percentage Change3 marks
A town's population is 27000 and grows by 3% each year. Work out the population after 4 years, to the nearest whole number.
3
Similar Shapes (Area and Volume)3 marks
Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 832 cm^3. Work out the volume of the smaller.
4
Probability Trees3 marks
A bag holds 7 red and 4 blue counters. Two are taken without replacement. Work out the probability both are red.
5
Histograms2 marks
A histogram class is 5 units wide and contains 10 values. Work out the frequency density.

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