Daily Practice · Higher

Daily Practice - Higher

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

8th July 2022

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

1
Pythagoras2 marks
A right-angled triangle has a hypotenuse of 29 cm and one shorter side of 21 cm. Work out the other shorter side.
2
Venn Diagrams3 marks
In a Venn diagram, 8 are in A only, 12 in B only, 8 in both and 1 in neither. Work out the probability a random one is in both.
3
Capture Recapture2 marks
A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
4
The Product Rule for Counting3 marks
A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
5
Expanding Triple Brackets3 marks
Expand and simplify (x - 5)(x - 4)(x - 5).

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