Daily Practice · Higher

Daily Practice - Higher

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

29th August 2026

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

1
Probability Trees3 marks
3 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
2
Box Plots2 marks
A box plot has minimum 14, lower quartile 18, median 22, upper quartile 27 and maximum 36. Work out the interquartile range.
3
Standard Form3 marks
Work out (72 x 10^6) / (9 x 10^3). Give your answer in standard form.
4
Factorising Harder Quadratics3 marks
Factorise 3x^2 + 10x + 3.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 24. Work out y when x = 3.

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