Daily Practice · Higher

November 1976 5-a-day

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November 1976

30 sheets · 150 questions · Grades 6-7

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Every sheet in November 1976

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

  1. 1st November 197631 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
  2. 2nd November 197635 voles are marked and released. Later 12 are caught, of which 3 are marked. Estimate the population.
  3. 3rd November 1976Work out (8 x 10^7) x (4 x 10^-6). Give your answer in standard form.
  4. 4th November 1976Make x the subject of y = 2x^2 - 8.
  5. 5th November 1976y is directly proportional to x. When x = 8, y = 72. Work out y when x = 13.
  6. 6th November 1976In triangle ABC, angle A is 53°, angle B is 80° and side a is 10 cm. Use the sine rule to work out side b, to 1 decimal place.
  7. 7th November 19764 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
  8. 8th November 1976A cumulative frequency graph is drawn for 44 values. What cumulative frequency do you read across from to estimate the lower quartile?
  9. 9th November 1976Write the recurring decimal 0.4242... as a fraction in its simplest form.
  10. 10th November 1976Factorise x^2 - 16.
  11. 11th November 1976A town's population is 15000 and grows by 6% each year. Work out the population after 4 years, to the nearest whole number.
  12. 12th November 1976A right-angled triangle has sides 9 cm, 12 cm and 15 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
  13. 13th November 197617 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
  14. 14th November 1976A box plot has a minimum of 9 and a maximum of 69. Work out the range.
  15. 15th November 1976A bill is £600 including VAT at 20%. Work out the amount before VAT.
  16. 16th November 1976A region is defined by y <= 3x - 7. Should the boundary line be solid or dashed, and why?
  17. 17th November 1976A block has volume 130 cm^3 and density 7.5 g/cm^3. Work out its mass.
  18. 18th November 1976The point (2, 6) is enlarged by scale factor -3 about the centre (-2, 0). Write down the coordinates of the image.
  19. 19th November 19767 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
  20. 20th November 1976A box plot has minimum 1, lower quartile 4, median 11, upper quartile 16 and maximum 20. Work out the interquartile range.
  21. 21st November 1976A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
  22. 22nd November 1976Factorise x^2 + 2x - 48.
  23. 23rd November 1976x : y = 5 : 9. Write y in terms of x.
  24. 24th November 1976Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 48 cm^3. Work out the volume of the smaller.
  25. 25th November 197626 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
  26. 26th November 1976A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
  27. 27th November 1976Work out (28 x 10^6) / (7 x 10^5). Give your answer in standard form.
  28. 28th November 1976Work out the equation of the line parallel to y = 2x + 9 that passes through (1, -7).
  29. 29th November 1976A price rises by 20% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
  30. 30th November 1976A right-angled triangle has a hypotenuse of 41 cm and one shorter side of 40 cm. Work out the other shorter side.

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