Daily Practice · Higher

Daily Practice - Higher

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

20th August 2026

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

1
Expanding Triple Brackets3 marks
Expand and simplify (x + 2)(x + 5)(x + 2).
2
Repeated Percentage Change3 marks
A town's population is 26500 and grows by 6% each year. Work out the population after 5 years, to the nearest whole number.
3
Pythagoras2 marks
A right-angled triangle has a hypotenuse of 5 cm and one shorter side of 4 cm. Work out the other shorter side.
4
Venn Diagrams3 marks
In a Venn diagram, 11 are in A only, 5 in B only, 4 in both and 2 in neither. Work out the probability a random one is in both.
5
Histograms2 marks
A histogram class is 20 units wide and contains 50 values. Work out the frequency density.

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