Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
- 1Speed and Density2 marks
A block has volume 90 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 6 cm and an angle of 22°. Work out the side adjacent to that angle, to 1 decimal place.
- 3Probability Trees3 marks
3 of 6 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 4, 7, 4, 11. Write down the cumulative frequency at the end of the third class.
- 5The Product Rule for Counting3 marks
A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
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