Daily Practice · Higher

Daily Practice - Higher

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

21st July 2025

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

1
Repeated Percentage Change3 marks
A price rises by 20% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
2
Vectors3 marks
a is the column vector (-1, -4) and b is (4, -4). Work out 5a - 4b as a column vector.
3
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.
4
Cumulative Frequency2 marks
A cumulative frequency graph is drawn for 124 values. What cumulative frequency do you read across from to estimate the lower quartile?
5
Fractional and Negative Indices2 marks
Write 2^-2 as a fraction.

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