Daily Practice · Higher

Daily Practice - Higher

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

1st December 2025

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 : 2. The larger has a volume of 184 cm^3. Work out the volume of the smaller.
2
Probability Trees3 marks
A bag holds 3 red and 4 blue counters. Two are taken without replacement. Work out the probability both are red.
3
Cumulative Frequency2 marks
A cumulative frequency graph is drawn for 200 values. What cumulative frequency do you read across from to estimate the lower quartile?
4
Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.7272... as a fraction in its simplest form.
5
Drawing Other Graphs: Cubic/Reciprocal2 marks
For the curve y = -28/x, work out y when x = -4, and write down the equation of its vertical asymptote.

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