Daily Practice · Higher

Daily Practice - Higher

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

25th February 2020

5 questions · 14 marks · Grades 6-7 · 61 question types in this band

1
Pythagoras2 marks
A right-angled triangle has a hypotenuse of 13 cm and one shorter side of 12 cm. Work out the other shorter side.
2
Venn Diagrams3 marks
In a Venn diagram, 7 are in A only, 11 in B only, 3 in both and 10 in neither. Work out the probability a random one is in both.
3
Capture Recapture3 marks
35 beetles are marked and released. Later 90 are caught, of which 9 are marked. Estimate the population.
4
Reverse Percentages3 marks
A bill is £936 including VAT at 20%. Work out the amount before VAT.
5
Expanding Triple Brackets3 marks
Expand and simplify (x + 2)(x - 5)(x + 2).

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