Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
25th August 2023
- 1Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 9, y = 108. Work out y when x = 11.
- 2SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 5 cm and an angle of 66°. Work out the side opposite that angle, to 1 decimal place.
- 3Probability Trees3 marks
1 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 4Capture Recapture2 marks
A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 5Standard Form3 marks
Work out (8 x 10^11) / (2 x 10^4). Give your answer in standard form.
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