Daily Practice · Higher

Daily Practice - Higher

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

10th August 2025

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

1
Probability Trees3 marks
6 of 8 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 a minimum of 20 and a maximum of 49. Work out the range.
3
Fractional and Negative Indices3 marks
Work out 36^(3/2).
4
Factorising Harder Quadratics3 marks
Factorise 8x^2 - 22x + 15.
5
Direct and Inverse Proportion3 marks
y is inversely proportional to x. When x = 5, y = 30. Work out y when x = 6.

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