Daily Practice · Higher

Daily Practice - Higher

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

30th October 2020

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

1
Capture Recapture2 marks
A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
2
The Product Rule for Counting3 marks
A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
3
Expanding and Factorising Quadratics3 marks
Factorise x^2 + 2x - 63.
4
Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 5, y = 10. Work out y when x = 4.
5
The Sine Rule3 marks
In triangle ABC, angle A is 73°, angle B is 54° and side a is 6 cm. Use the sine rule to work out side b, to 1 decimal place.

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