Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
20th March 2026
- 1Conditional Probability3 marks
13 students study Spanish and 4 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 beetle population of a woodland. State one assumption the method relies on.
- 3Fractional and Negative Indices2 marks
Write 2^-1 as a fraction.
- 4Quadratic Formula3 marks
Use the quadratic formula to solve 4x^2 + 7x - 9 = 0, to 2 decimal places.
- 5Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 7, y = 42. Work out y when x = 3.
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