Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
26th January 2022
- 1Speed and Density2 marks
A block has volume 110 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 2SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 24 cm and an angle of 45°. Work out the side adjacent to that angle, to 1 decimal place.
- 3Probability Trees3 marks
1 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 4Cumulative Frequency2 marks
Four classes in order have frequencies 10, 5, 6, 9. Write down the cumulative frequency at the end of the third class.
- 5Surds2 marks
Write sqrt(75) in the form a sqrt(b), where b is as small as possible.
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