Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
1st December 2018
- 1Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 63. Work out y when x = 5.
- 2SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 12 cm and an angle of 26°. Work out the side opposite that angle, to 1 decimal place.
- 3Probability Trees3 marks
3 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 1, lower quartile 8, median 17, upper quartile 20 and maximum 29. Work out the interquartile range.
- 5Reverse Percentages3 marks
A bill is £96 including VAT at 20%. Work out the amount before VAT.
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Every sheet is deterministic: the same date always regenerates the same five questions. All of December 2018, including the monthly compilation PDF.