Daily Practice

Higher

2nd July 1976

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

1
Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 4, y = 32. Work out y when x = 5.
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
7 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
4
Capture Recapture2 marks
A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
5
Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.333... as a fraction in its simplest form.

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