Daily Practice · Higher

Daily Practice - Higher

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

15th September 2025

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

1
Probability Trees3 marks
3 of 7 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 144 values. What cumulative frequency do you read across from to estimate the lower quartile?
3
Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.8484... as a fraction in its simplest form.
4
Simultaneous Equations3 marks
5 teas and 2 cakes cost £9.45. 1 tea and 3 cakes cost £6.70. Find the price of a tea.
5
Repeated Percentage Change3 marks
A price rises by 15% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.

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