Daily Practice · Higher

Daily Practice - Higher

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

2nd June 2025

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

1
Parallel and Perpendicular Lines3 marks
A line has equation y = 5x + 2. Work out the gradient of any line perpendicular to it.
2
Repeated Percentage Change3 marks
A price rises by 10% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
3
Enlarging with Negative Scale Factors3 marks
The point (-1, 1) is enlarged by scale factor -2 about the centre (2, 1). Write down the coordinates of the image.
4
Venn Diagrams3 marks
In a Venn diagram, 4 are in A only, 18 in B only, 8 in both and 3 in neither. Work out the probability a random one is in both.
5
Cumulative Frequency2 marks
A cumulative frequency graph is drawn for 204 values. What cumulative frequency do you read across from to estimate the lower quartile?

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