Daily Practice · Higher

March 1966 5-a-day

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March 1966

31 sheets · 155 questions · Grades 6-7

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The batch download puts all 5 tiers' March 1966 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.

Every sheet in March 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 March 1966Write 9^-2 as a fraction.
  2. 2nd March 1966For the curve y = -80/x, work out y when x = 10, and write down the equation of its vertical asymptote.
  3. 3rd March 1966A town's population is 23500 and grows by 6% each year. Work out the population after 3 years, to the nearest whole number.
  4. 4th March 1966A, B and C are points on a circle with centre O. Angle AOC is 110°. Work out angle ABC, where B is on the major arc.
  5. 5th March 19666 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
  6. 6th March 1966A box plot has a minimum of 14 and a maximum of 52. Work out the range.
  7. 7th March 1966Work out (4 x 10^8) x (6 x 10^5). Give your answer in standard form.
  8. 8th March 1966Expand and simplify (x + 2)(x + 5)(x - 4).
  9. 9th March 1966A block has volume 60 cm^3 and density 8 g/cm^3. Work out its mass.
  10. 10th March 1966A cone has base radius 10 cm and vertical height 12 cm. Work out its volume, leaving your answer in terms of pi.
  11. 11th March 196621 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
  12. 12th March 1966A box plot has minimum 3, lower quartile 10, median 19, upper quartile 24 and maximum 32. Work out the interquartile range.
  13. 13th March 1966Write the recurring decimal 0.9191... as a fraction in its simplest form.
  14. 14th March 1966Make x the subject of y = 9x^2 - 8.
  15. 15th March 1966x : y = 4 : 5. Write y in terms of x.
  16. 16th March 1966In triangle ABC, angle A is 35°, angle B is 33° and side a is 5 cm. Use the sine rule to work out side b, to 1 decimal place.
  17. 17th March 19662 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
  18. 18th March 1966A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
  19. 19th March 1966A bill is £768 including VAT at 20%. Work out the amount before VAT.
  20. 20th March 1966Factorise x^2 - 64.
  21. 21st March 1966A price rises by 25% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
  22. 22nd March 1966A right-angled triangle has sides 20 cm, 21 cm and 29 cm. Work out the angle opposite the 20 cm side, to 1 decimal place.
  23. 23rd March 196622 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
  24. 24th March 1966A histogram class is 4 units wide and contains 8 values. Work out the frequency density.
  25. 25th March 1966A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
  26. 26th March 1966A region is defined by y < 4x - 5. Should the boundary line be solid or dashed, and why?
  27. 27th March 1966y is inversely proportional to x. When x = 5, y = 12. Work out y when x = 3.
  28. 28th March 1966The point (-1, -4) is enlarged by scale factor -2 about the centre (-3, -2). Write down the coordinates of the image.
  29. 29th March 19662 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
  30. 30th March 1966Four classes in order have frequencies 4, 10, 8, 4. Write down the cumulative frequency at the end of the third class.
  31. 31st March 1966Work out (10 x 10^8) / (2 x 10^2). Give your answer in standard form.

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