Daily Practice

Higher

16th December 1980

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

1
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.
2
Capture Recapture3 marks
60 beetles are marked and released. Later 44 are caught, of which 4 are marked. Estimate the population.
3
Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.333... as a fraction in its simplest form.
4
Trigonometric and Exponential Graphs2 marks
The curve y = 4^x is drawn. Work out y when x = 5, and write down where the curve crosses the y-axis.
5
Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 5 : 6. Write y in terms of x.

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