Daily Practice · Higher

Daily Practice - Higher

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

21st April 1998

5 questions · 15 marks · Grades 6-7 · 61 question types in this band

1
Enlarging with Negative Scale Factors3 marks
The point (6, -3) is enlarged by scale factor -3 about the centre (-2, -2). Write down the coordinates of the image.
2
Venn Diagrams3 marks
In a Venn diagram, 7 are in A only, 6 in B only, 10 in both and 5 in neither. Work out the probability a random one is in both.
3
Capture Recapture3 marks
10 voles are marked and released. Later 36 are caught, of which 6 are marked. Estimate the population.
4
The Product Rule for Counting3 marks
A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
5
Parallel and Perpendicular Lines3 marks
A line has equation y = 3x + 6. Work out the gradient of any line perpendicular to it.

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