Daily Practice

Higher

19th August 1974

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

1
SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has sides 3 cm, 4 cm and 5 cm. Work out the angle opposite the 3 cm side, to 1 decimal place.
2
Probability Trees3 marks
A bag holds 3 red and 7 blue counters. Two are taken without replacement. Work out the probability both are red.
3
Cumulative Frequency2 marks
A cumulative frequency graph is drawn for 140 values. What cumulative frequency do you read across from to estimate the lower quartile?
4
The 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?
5
Parallel and Perpendicular Lines3 marks
Work out the equation of the line parallel to y = -x - 5 that passes through (3, 7).

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