Daily Practice · Higher

February 1966 5-a-day

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February 1966

28 sheets · 140 questions · Grades 6-7

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Every sheet in February 1966

The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.

  1. 1st February 1966x : y = 3 : 8. Write y in terms of x.
  2. 2nd February 1966A right-angled triangle has sides 6 cm, 8 cm and 10 cm. Work out the angle opposite the 6 cm side, to 1 decimal place.
  3. 3rd February 196627 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
  4. 4th February 1966A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
  5. 5th February 1966Work out 49^(3/2).
  6. 6th February 1966A region is defined by y <= 4x - 6. Should the boundary line be solid or dashed, and why?
  7. 7th February 1966A price rises by 20% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
  8. 8th February 1966The point (-6, -3) is enlarged by scale factor -2 about the centre (-3, 4). Write down the coordinates of the image.
  9. 9th February 19661 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
  10. 10th February 1966A histogram class is 2 units wide and contains 3 values. Work out the frequency density.
  11. 11th February 1966Write sqrt(98) in the form a sqrt(b), where b is as small as possible.
  12. 12th February 1966Factorise x^2 - 7x - 18.
  13. 13th February 1966y is inversely proportional to x. When x = 9, y = 30. Work out y when x = 5.
  14. 14th February 1966Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 432 cm^3. Work out the volume of the smaller.
  15. 15th February 196615 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
  16. 16th February 1966Four classes in order have frequencies 8, 3, 11, 4. Write down the cumulative frequency at the end of the third class.
  17. 17th February 1966A meal deal has 8 mains, 8 sides and 4 drinks. How many different meals are possible?
  18. 18th February 1966Work out the equation of the line parallel to y = x + 4 that passes through (3, 13).
  19. 19th February 1966y is directly proportional to x^2. When x = 3, y = 36. Work out y when x = 4.
  20. 20th February 1966A right-angled triangle has a hypotenuse of 13 cm and one shorter side of 5 cm. Work out the other shorter side.
  21. 21st February 19662 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
  22. 22nd February 196620 newts are marked and released. Later 72 are caught, of which 8 are marked. Estimate the population.
  23. 23rd February 1966A mass is 260 kg, correct to the nearest 10. Write down the upper bound.
  24. 24th February 1966A line has equation y = 3x + 6. Work out the gradient of any line perpendicular to it.
  25. 25th February 1966y is directly proportional to x. When x = 7, y = 84. Work out y when x = 3.
  26. 26th February 1966ABCD is a cyclic quadrilateral. Angle ABC is 96°. Work out angle ADC.
  27. 27th February 196626 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
  28. 28th February 1966A cumulative frequency graph is drawn for 116 values. What cumulative frequency do you read across from to estimate the lower quartile?

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