Daily Practice · Higher

Daily Practice - Higher

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

10th March 2025

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

1
Expanding Triple Brackets3 marks
Expand and simplify (x + 4)(x - 5)(x - 2).
2
Repeated Percentage Change3 marks
A price rises by 25% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
3
Pythagoras2 marks
A right-angled triangle has a hypotenuse of 5 cm and one shorter side of 3 cm. Work out the other shorter side.
4
Venn Diagrams3 marks
In a Venn diagram, 14 are in A only, 8 in B only, 9 in both and 2 in neither. Work out the probability a random one is in both.
5
Cumulative Frequency2 marks
A cumulative frequency graph is drawn for 92 values. What cumulative frequency do you read across from to estimate the lower quartile?

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