Daily Practice · Higher

March 1964 5-a-day

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March 1964

31 sheets · 155 questions · Grades 6-7

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The batch download puts all 5 tiers' March 1964 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.

Every sheet in March 1964

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 1964y is inversely proportional to x. When x = 4, y = 15. Work out y when x = 5.
  2. 2nd March 1964A right-angled triangle has a hypotenuse of 25 cm and one shorter side of 7 cm. Work out the other shorter side.
  3. 3rd March 19643 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
  4. 4th March 1964Four classes in order have frequencies 4, 8, 3, 3. Write down the cumulative frequency at the end of the third class.
  5. 5th March 1964Write 7^-3 as a fraction.
  6. 6th March 1964A line has equation y = 3x + 5. Work out the gradient of any line perpendicular to it.
  7. 7th March 1964y is directly proportional to x^2. When x = 5, y = 225. Work out y when x = 7.
  8. 8th March 1964ABCD is a cyclic quadrilateral. Angle ABC is 75°. Work out angle ADC.
  9. 9th March 196424 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
  10. 10th March 196430 beetles are marked and released. Later 16 are caught, of which 2 are marked. Estimate the population.
  11. 11th March 1964Work out (5 x 10^6) x (8 x 10^-6). Give your answer in standard form.
  12. 12th March 1964For the curve y = 120/x, work out y when x = 10, and write down the equation of its vertical asymptote.
  13. 13th March 1964y is directly proportional to x. When x = 6, y = 12. Work out y when x = 7.
  14. 14th March 1964A, B and C are points on a circle with centre O. Angle AOC is 128°. Work out angle ABC, where B is on the major arc.
  15. 15th March 19646 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
  16. 16th March 1964A cumulative frequency graph is drawn for 164 values. What cumulative frequency do you read across from to estimate the lower quartile?
  17. 17th March 1964Write the recurring decimal 0.4242... as a fraction in its simplest form.
  18. 18th March 1964Expand and simplify (x - 5)(x + 1)(x + 3).
  19. 19th March 1964A town's population is 19000 and grows by 6% each year. Work out the population after 6 years, to the nearest whole number.
  20. 20th March 1964A cone has base radius 5 cm and vertical height 12 cm. Work out its volume, leaving your answer in terms of pi.
  21. 21st March 196429 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
  22. 22nd March 1964A box plot has a minimum of 19 and a maximum of 48. Work out the range.
  23. 23rd March 1964A bill is £888 including VAT at 20%. Work out the amount before VAT.
  24. 24th March 1964Make x the subject of y = 6x^2 - 5.
  25. 25th March 1964A block has volume 15 cm^3 and density 3 g/cm^3. Work out its mass.
  26. 26th March 1964In triangle ABC, angle A is 48°, angle B is 30° and side a is 17 cm. Use the sine rule to work out side b, to 1 decimal place.
  27. 27th March 19642 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
  28. 28th March 1964A box plot has minimum 6, lower quartile 12, median 22, upper quartile 25 and maximum 33. Work out the interquartile range.
  29. 29th March 1964A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
  30. 30th March 1964Factorise x^2 - 121.
  31. 31st March 1964x : y = 5 : 8. Write y in terms of x.

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