Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
19th September 2026
- 1Parallel and Perpendicular Lines3 marks
Work out the equation of the line parallel to y = 3x - 7 that passes through (3, 5).
- 2Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 45. Work out y when x = 4.
- 3SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has sides 8 cm, 15 cm and 17 cm. Work out the angle opposite the 8 cm side, to 1 decimal place.
- 4Probability Trees3 marks
A bag holds 3 red and 4 blue counters. Two are taken without replacement. Work out the probability both are red.
- 5Box Plots2 marks
A box plot has minimum 8, lower quartile 11, median 18, upper quartile 27 and maximum 29. Work out the interquartile range.
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