Daily Practice · Higher

Daily Practice - Higher

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

22nd December 2023

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

1
Parallel and Perpendicular Lines3 marks
A line has equation y = -3x + 7. Work out the gradient of any line perpendicular to it.
2
Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 3, y = 24. Work out y when x = 4.
3
Enlarging with Negative Scale Factors3 marks
The point (-4, 0) is enlarged by scale factor -2 about the centre (-3, 0). Write down the coordinates of the image.
4
Venn Diagrams3 marks
In a Venn diagram, 4 are in A only, 16 in B only, 4 in both and 10 in neither. Work out the probability a random one is in both.
5
Capture Recapture2 marks
A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.

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