Daily Practice

Higher

4th December 1990

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

1
Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 5 : 8. Write y in terms of x.
2
SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 5 cm and an angle of 57°. Work out the side opposite that angle, to 1 decimal place.
3
Probability Trees3 marks
3 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
4
Capture Recapture3 marks
50 newts are marked and released. Later 44 are caught, of which 4 are marked. Estimate the population.
5
The Product Rule for Counting3 marks
A code is 2 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?

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