Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
- 1Surds2 marks
Write sqrt(27) in the form a sqrt(b), where b is as small as possible.
- 2Simultaneous Equations3 marks
3 teas and 2 cakes cost £11.45. 3 teas and 5 cakes cost £18.95. Find the price of a tea.
- 3Repeated Percentage Change3 marks
A price rises by 10% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 4SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 21 cm and an angle of 61°. Work out the side adjacent to that angle, to 1 decimal place.
- 5Probability Trees3 marks
2 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
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