Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
23rd June 2012
- 1Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 28. Work out y when x = 9.
- 2SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 8 cm and an angle of 59°. Work out the side opposite that angle, to 1 decimal place.
- 3Probability Trees3 marks
7 of 9 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 6, lower quartile 15, median 25, upper quartile 31 and maximum 40. Work out the interquartile range.
- 5Fractional and Negative Indices3 marks
Work out 64^(2/3).
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