Daily Practice · Higher

Daily Practice - Higher

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

8th October 2025

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

1
Enlarging with Negative Scale Factors3 marks
The point (-6, -6) is enlarged by scale factor -2 about the centre (-4, 1). Write down the coordinates of the image.
2
Venn Diagrams3 marks
In a Venn diagram, 9 are in A only, 12 in B only, 12 in both and 4 in neither. Work out the probability a random one is in both.
3
Cumulative Frequency2 marks
Four classes in order have frequencies 5, 7, 9, 9. Write down the cumulative frequency at the end of the third class.
4
The Product Rule for Counting3 marks
A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
5
Parallel and Perpendicular Lines3 marks
A line has equation y = -2x + 4. Work out the gradient of any line perpendicular to it.

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