Daily Practice · Higher

Daily Practice - Higher

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

9th August 2026

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

1
Direct and Inverse Proportion3 marks
y is inversely proportional to x. When x = 2, y = 20. Work out y when x = 4.
2
Vectors3 marks
a is the column vector (-2, -5) and b is (1, -6). Work out 5a - 5b as a column vector.
3
Probability Trees3 marks
5 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
4
Box Plots2 marks
A box plot has a minimum of 11 and a maximum of 40. Work out the range.
5
The Product Rule for Counting2 marks
A meal deal has 7 mains, 3 sides and 3 drinks. How many different meals are possible?

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