Daily Practice

Higher

4th March 1983

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 = 7, y = 56. Work out y when x = 14.
2
SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 11 cm and an angle of 31°. Work out the side opposite that angle, to 1 decimal place.
3
Probability Trees3 marks
4 of 7 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 ladybird population of a garden. State one assumption the method relies on.
5
Standard Form3 marks
Work out (36 x 10^6) / (4 x 10^3). Give your answer in standard form.

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