Daily Practice · Higher

Daily Practice - Higher

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

23rd March 2026

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

1
Drawing Other Graphs: Cubic/Reciprocal2 marks
For the curve y = -30/x, work out y when x = -10, and write down the equation of its vertical asymptote.
2
Repeated Percentage Change3 marks
A price rises by 25% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
3
Similar Shapes (Area and Volume)3 marks
Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 1664 cm^3. Work out the volume of the smaller.
4
Probability Trees3 marks
A bag holds 3 red and 5 blue counters. Two are taken without replacement. Work out the probability both are red.
5
Cumulative Frequency2 marks
A cumulative frequency graph is drawn for 164 values. What cumulative frequency do you read across from to estimate the lower quartile?

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