Daily Practice

Higher

2nd June 1989

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

1
Conditional Probability3 marks
30 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
2
Capture Recapture2 marks
A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
3
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?
4
Quadratic Formula3 marks
Use the quadratic formula to solve 2x^2 - 10x - 8 = 0, to 2 decimal places.
5
Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 9, y = 72. Work out y when x = 6.

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