Daily Practice

Higher

22nd September 1978

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

1
Probability Trees3 marks
5 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
2
Capture Recapture2 marks
A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
3
Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.5252... as a fraction in its simplest form.
4
Trigonometric and Exponential Graphs2 marks
The curve y = 3^x is drawn. Work out y when x = 5, and write down where the curve crosses the y-axis.
5
Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 7, y = 14. Work out y when x = 13.

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