Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
5th September 1998
- 1Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 216. Work out y when x = 9.
- 2SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 20 cm and an angle of 59°. Work out the side opposite that angle, to 1 decimal place.
- 3Probability Trees3 marks
1 of 5 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 7, median 11, upper quartile 19 and maximum 26. Work out the interquartile range.
- 5Reverse Percentages3 marks
A bill is £120 including VAT at 20%. Work out the amount before VAT.
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