Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
- 1Conditional 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.
- 2Capture Recapture2 marks
A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 3Surds2 marks
Write sqrt(75) in the form a sqrt(b), where b is as small as possible.
- 4Quadratic Formula3 marks
Work out the discriminant of 3x^2 + x + 5 = 0 and say how many real solutions it has.
- 5Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 7, y = 84. Work out y when x = 11.
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