Daily Practice · Higher

Daily Practice - Higher

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

19th February 2026

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

1
Histograms2 marks
A histogram class is 2 units wide and contains 1 values. Work out the frequency density.
2
Surds2 marks
Write sqrt(18) in the form a sqrt(b), where b is as small as possible.
3
Drawing Other Graphs: Cubic/Reciprocal2 marks
For the curve y = -35/x, work out y when x = -5, and write down the equation of its vertical asymptote.
4
Repeated Percentage Change3 marks
A town's population is 11500 and grows by 5% each year. Work out the population after 4 years, to the nearest whole number.
5
Similar Shapes (Area and Volume)3 marks
Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 184 cm^3. Work out the volume of the smaller.

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