Daily Practice · Higher

Daily Practice - Higher

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

11th December 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 = 4x + 2. Work out the gradient of any line perpendicular to it.
2
Repeated Percentage Change3 marks
A town's population is 37000 and grows by 5% each year. Work out the population after 5 years, to the nearest whole number.
3
Enlarging with Negative Scale Factors3 marks
The point (5, 1) is enlarged by scale factor -2 about the centre (4, -1). Write down the coordinates of the image.
4
Venn Diagrams3 marks
In a Venn diagram, 17 are in A only, 14 in B only, 2 in both and 3 in neither. Work out the probability a random one is in both.
5
Histograms2 marks
A histogram class is 10 units wide and contains 20 values. Work out the frequency density.

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