Daily Practice · Higher

Daily Practice - Higher

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

25th October 2025

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 = 2, y = 16. Work out y when x = 7.
2
Vectors3 marks
a is the column vector (6, -5) and b is (-2, 0). Work out 3a - 3b as a column vector.
3
Probability Trees3 marks
2 of 5 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 7, lower quartile 15, median 22, upper quartile 29 and maximum 35. Work out the interquartile range.
5
Standard Form3 marks
Work out (36 x 10^9) / (4 x 10^4). Give your answer in standard form.

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