Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
23rd June 2025
- 1Probability 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.
- 2Cumulative Frequency2 marks
A cumulative frequency graph is drawn for 160 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 3Bounds2 marks
A mass is 29 kg, correct to the nearest whole number. Write down the lower bound.
- 4Factorising Harder Quadratics3 marks
Factorise 3x^2 + 11x + 6.
- 5Repeated Percentage Change3 marks
A price rises by 25% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
You are looking at an earlier sheet. Today's sheet is the one that adds a day.
Your run is kept in this browser only, and there is no account.
Recent Higher sheets
Every sheet is deterministic: the same date always regenerates the same five questions. All of June 2025, including the monthly compilation PDF.