Daily Practice · Higher

Daily Practice - Higher

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

11th March 2022

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

1
Probability Trees3 marks
4 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
2
Capture Recapture2 marks
A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
3
Surds2 marks
Write sqrt(20) in the form a sqrt(b), where b is as small as possible.
4
Factorising Harder Quadratics3 marks
Factorise 12x^2 + x - 6.
5
Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 7, y = 84. Work out y when x = 13.

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