Daily Practice · Higher

Daily Practice - Higher

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

6th February 2026

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

1
Probability Trees3 marks
7 of 10 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
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?
4
Simultaneous Equations3 marks
2 teas and 4 cakes cost £14.60. 4 teas and 2 cakes cost £11.80. Find the price of a tea.
5
Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 3, y = 12. Work out y when x = 13.

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