Daily Practice

Higher

30th September 1960

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

1
Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 9, y = 36. Work out y when x = 6.
2
Perpendicular Lines and the equation of a tangent2 marks
A line has gradient 4. Work out the gradient of a line perpendicular to it.
3
Conditional Probability3 marks
21 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 Recapture2 marks
A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
5
The Product Rule for Counting3 marks
A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?

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