Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
28th January 2017
- 1Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 63. Work out y when x = 4.
- 2SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 17 cm and an angle of 31°. Work out the side opposite that angle, to 1 decimal place.
- 3Probability Trees3 marks
5 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 4Box Plots2 marks
A box plot has minimum 4, lower quartile 8, median 13, upper quartile 17 and maximum 22. Work out the interquartile range.
- 5Standard Form2 marks
Work out (2 x 10^8) x (6 x 10^6). Give your answer in standard form.
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