Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
1st January 2007
- 1Fractional and Negative Indices2 marks
Write 2^-2 as a fraction.
- 2Simultaneous Equations3 marks
5 teas and 3 cakes cost £11.05. 3 teas and 5 cakes cost £12.55. Find the price of a tea.
- 3Repeated Percentage Change3 marks
A price rises by 20% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 4SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 22 cm and an angle of 64°. Work out the side adjacent to that angle, to 1 decimal place.
- 5Probability 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.
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