Daily Practice

Higher

5th December 1967

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 = 5 : 7. Write y in terms of x.
2
SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 23 cm and an angle of 68°. Work out the side adjacent to that angle, to 1 decimal place.
3
Probability Trees3 marks
1 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
4
Capture Recapture3 marks
25 beetles are marked and released. Later 108 are caught, of which 9 are marked. Estimate the population.
5
Standard Form2 marks
Work out (8 x 10^7) x (8 x 10^2). Give your answer in standard form.

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Any date always gives the same five questions, so a sheet can be set again or shared. All of December 1967, including the monthly compilation PDF.