Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
26th August 2000
- 1SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has sides 6 cm, 8 cm and 10 cm. Work out the angle opposite the 6 cm side, to 1 decimal place.
- 2Probability Trees3 marks
A bag holds 4 red and 8 blue counters. Two are taken without replacement. Work out the probability both are red.
- 3Box Plots2 marks
A box plot has minimum 4, lower quartile 9, median 19, upper quartile 25 and maximum 31. Work out the interquartile range.
- 4The Product Rule for Counting3 marks
A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 5Parallel and Perpendicular Lines3 marks
Work out the equation of the line parallel to y = -5x + 5 that passes through (4, -32).
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