Daily Practice · Higher

Daily Practice - Higher

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

9th October 2015

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

1
Capture Recapture2 marks
A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
2
The Product Rule for Counting3 marks
A code is 2 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
3
Expanding Triple Brackets3 marks
Expand and simplify (x + 5)(x + 5)(x + 1).
4
Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 5, y = 45. Work out y when x = 3.
5
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.

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