Daily Practice · Higher

Daily Practice - Higher

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

7th January 2020

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

1
Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 5 : 8. Write y in terms of x.
2
Perpendicular Lines and the equation of a tangent2 marks
A line has gradient -5. Work out the gradient of a line perpendicular to it.
3
Conditional Probability3 marks
19 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
4
Capture Recapture3 marks
60 fish are marked and released. Later 48 are caught, of which 4 are marked. Estimate the population.
5
The Product Rule for Counting3 marks
A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?

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