Daily Practice · Higher

Daily Practice - Higher

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

20th July 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 + 1. Work out the gradient of any line perpendicular to it.
2
Direct and Inverse Proportion3 marks
y is inversely proportional to x. When x = 7, y = 12. Work out y when x = 4.
3
Enlarging with Negative Scale Factors3 marks
The point (-3, 6) is enlarged by scale factor -2 about the centre (1, 2). Write down the coordinates of the image.
4
Venn Diagrams3 marks
In a Venn diagram, 14 are in A only, 6 in B only, 9 in both and 3 in neither. Work out the probability a random one is in both.
5
Box Plots2 marks
A box plot has a minimum of 9 and a maximum of 58. Work out the range.

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