Daily Practice

Higher

14th July 1990

5 questions · 14 marks · Grades 6-7 · 61 question types in this band

1
SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has sides 5 cm, 12 cm and 13 cm. Work out the angle opposite the 5 cm side, to 1 decimal place.
2
Probability Trees3 marks
A bag holds 6 red and 2 blue counters. Two are taken without replacement. Work out the probability both are red.
3
Box Plots2 marks
A box plot has minimum 13, lower quartile 21, median 30, upper quartile 40 and maximum 45. Work out the interquartile range.
4
The Product Rule for Counting3 marks
A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
5
Parallel and Perpendicular Lines3 marks
Work out the equation of the line parallel to y = -3x - 3 that passes through (4, -18).

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