Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
22nd February 2020
- 1Surds2 marks
Write sqrt(98) in the form a sqrt(b), where b is as small as possible.
- 2Simultaneous Equations3 marks
4 teas and 2 cakes cost £12.00. 2 teas and 2 cakes cost £7.40. Find the price of a tea.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 100. Work out y when x = 3.
- 4SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 11 cm and an angle of 38°. Work out the side opposite that angle, to 1 decimal place.
- 5Probability Trees3 marks
4 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
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