Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
20th September 2024
- 1Probability Trees3 marks
7 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 2Capture Recapture2 marks
A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 3Surds2 marks
Write sqrt(45) in the form a sqrt(b), where b is as small as possible.
- 4Trigonometric and Exponential Graphs2 marks
The curve y = 3^x is drawn. Work out y when x = 3, and write down where the curve crosses the y-axis.
- 5Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 3, y = 27. Work out y when x = 7.
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