Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
14th January 2006
- 1Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 32. Work out y when x = 8.
- 2SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 7 cm and an angle of 24°. Work out the side opposite that angle, to 1 decimal place.
- 3Probability Trees3 marks
6 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 7, lower quartile 14, median 24, upper quartile 31 and maximum 34. Work out the interquartile range.
- 5Fractional and Negative Indices2 marks
Write 9^-3 as a fraction.
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