Daily Practice · Higher

Daily Practice - Higher

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

9th February 2026

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

1
Expanding Triple Brackets3 marks
Expand and simplify (x - 4)(x - 4)(x + 3).
2
Repeated Percentage Change3 marks
A price rises by 15% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
3
Pythagoras2 marks
A right-angled triangle has a hypotenuse of 17 cm and one shorter side of 8 cm. Work out the other shorter side.
4
Venn Diagrams3 marks
In a Venn diagram, 10 are in A only, 10 in B only, 9 in both and 3 in neither. Work out the probability a random one is in both.
5
Cumulative Frequency2 marks
A cumulative frequency graph is drawn for 120 values. What cumulative frequency do you read across from to estimate the lower quartile?

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