Daily Practice · Higher

Daily Practice - Higher

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

17th August 2026

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

1
Probability Trees3 marks
5 of 9 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 64 values. What cumulative frequency do you read across from to estimate the lower quartile?
3
Reverse Percentages3 marks
A bill is £696 including VAT at 20%. Work out the amount before VAT.
4
Simultaneous Equations3 marks
4 teas and 1 cake cost £12.60. 2 teas and 5 cakes cost £20.70. Find the price of a tea.
5
Repeated Percentage Change3 marks
A price rises by 10% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.

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