Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
27th September 2025
- 1Probability Trees3 marks
1 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 2Box Plots2 marks
A box plot has minimum 3, lower quartile 7, median 17, upper quartile 19 and maximum 27. Work out the interquartile range.
- 3The Product Rule for Counting3 marks
A code is 2 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 4Factorising Harder Quadratics3 marks
Factorise 4x^2 - 20x + 25.
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 108. Work out y when x = 3.
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