Daily Practice · Higher

Daily Practice - Higher

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

28th January 2026

5 questions · 13 marks · Grades 6-7 · 61 question types in this band

1
Parallel and Perpendicular Lines3 marks
A line has equation y = 5x + 9. Work out the gradient of any line perpendicular to it.
2
Speed and Density2 marks
A block has volume 160 cm^3 and density 7.5 g/cm^3. Work out its mass.
3
Enlarging with Negative Scale Factors3 marks
The point (3, 2) is enlarged by scale factor -2 about the centre (-1, 3). Write down the coordinates of the image.
4
Venn Diagrams3 marks
In a Venn diagram, 13 are in A only, 13 in B only, 4 in both and 2 in neither. Work out the probability a random one is in both.
5
Cumulative Frequency2 marks
Four classes in order have frequencies 6, 5, 12, 7. Write down the cumulative frequency at the end of the third class.

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