Daily Practice · Higher

Daily Practice - Higher

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

25th May 2026

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

1
Probability Trees3 marks
6 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
2
Cumulative Frequency2 marks
A cumulative frequency graph is drawn for 108 values. What cumulative frequency do you read across from to estimate the lower quartile?
3
Fractional and Negative Indices2 marks
Write 3^-3 as a fraction.
4
Factorising Harder Quadratics3 marks
Factorise 4x^2 - 25x + 6.
5
Repeated Percentage Change3 marks
A price rises by 20% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.

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