Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
- 1Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 72. Work out y when x = 5.
- 2SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 13 cm and an angle of 31°. Work out the side opposite that angle, to 1 decimal place.
- 3Probability Trees3 marks
5 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 3, lower quartile 13, median 17, upper quartile 19 and maximum 23. Work out the interquartile range.
- 5Surds2 marks
Write sqrt(27) in the form a sqrt(b), where b is as small as possible.
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