Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
5th January 2026
- 1Repeated Percentage Change3 marks
A price rises by 15% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 2SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 7 cm and an angle of 30°. Work out the side opposite that angle, to 1 decimal place.
- 3Probability Trees3 marks
4 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 4Cumulative Frequency2 marks
A cumulative frequency graph is drawn for 68 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 5Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.333... as a fraction in its simplest form.
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