Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
7th September 2025
- 1Direct and Inverse Proportion3 marks
y is inversely proportional to x. When x = 8, y = 12. Work out y when x = 12.
- 2Vectors3 marks
a is the column vector (-5, 5) and b is (5, 2). Work out 3a - 3b as a column vector.
- 3Probability Trees3 marks
2 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 4Box Plots2 marks
A box plot has a minimum of 11 and a maximum of 51. Work out the range.
- 5Surds2 marks
Write sqrt(32) in the form a sqrt(b), where b is as small as possible.
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