Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
21st April 2018
- 1Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.333... as a fraction in its simplest form.
- 2Simultaneous Equations3 marks
4 teas and 2 cakes cost £11.70. 2 teas and 5 cakes cost £17.25. Find the price of a tea.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 27. Work out y when x = 5.
- 4SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 21 cm and an angle of 20°. Work out the side adjacent to that angle, to 1 decimal place.
- 5Probability Trees3 marks
1 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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