Daily Practice · Higher

Daily Practice - Higher

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

14th November 2025

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

1
Probability Trees3 marks
7 of 9 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 ladybird population of a garden. State one assumption the method relies on.
3
Standard Form2 marks
Work out (4 x 10^6) x (7 x 10^3). Give your answer in standard form.
4
Factorising Harder Quadratics3 marks
Factorise 15x^2 - 28x + 12.
5
Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 5, y = 35. Work out y when x = 14.

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