Daily Practice

Higher

18th August 1967

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

1
Expanding Triple Brackets3 marks
Expand and simplify (x + 3)(x + 3)(x - 1).
2
Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 9, y = 54. Work out y when x = 10.
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, 12 are in A only, 5 in B only, 8 in both and 6 in neither. Work out the probability a random one is in both.
5
Capture Recapture2 marks
A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.

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