Daily Practice · Higher

Daily Practice - Higher

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

30th August 2024

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

1
Expanding Triple Brackets3 marks
Expand and simplify (x + 3)(x - 4)(x + 5).
2
Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 2, y = 10. Work out y when x = 12.
3
Pythagoras2 marks
A right-angled triangle has a hypotenuse of 10 cm and one shorter side of 6 cm. Work out the other shorter side.
4
Venn Diagrams3 marks
In a Venn diagram, 3 are in A only, 13 in B only, 3 in both and 1 in neither. Work out the probability a random one is in both.
5
Capture Recapture2 marks
A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.

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