Daily Practice · Higher

Daily Practice - Higher

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

12th December 2025

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

1
Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 9, y = 90. Work out y when x = 4.
2
Vectors3 marks
a is the column vector (-3, 3) and b is (-4, 6). Work out 3a - 2b as a column vector.
3
Probability Trees3 marks
3 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
4
Capture Recapture2 marks
A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
5
Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.4242... as a fraction in its simplest form.

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