Daily Practice

Higher

6th January 1987

5 questions · 13 marks · Grades 6-7 · 61 question types in this band

1
Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 4 : 5. Write y in terms of x.
2
Spheres and Cones3 marks
A sphere has radius 15 cm. Work out its volume, leaving your answer in terms of pi.
3
Probability Trees3 marks
3 of 8 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 32 are caught, of which 4 are marked. Estimate the population.
5
Surds2 marks
Write sqrt(75) in the form a sqrt(b), where b is as small as possible.

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