Daily Practice · Higher

Daily Practice - Higher

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

26th September 2026

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

1
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 48. Work out y when x = 7.
2
Vectors3 marks
a is the column vector (3, 2) and b is (4, -3). Work out 2a - 5b as a column vector.
3
Probability Trees3 marks
2 of 6 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 minimum 14, lower quartile 18, median 23, upper quartile 27 and maximum 36. Work out the interquartile range.
5
Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.777... as a fraction in its simplest form.

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