Daily Practice · Higher

February 1969 5-a-day

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February 1969

28 sheets · 140 questions · Grades 6-7

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The batch download puts all 5 tiers' February 1969 sheets in a single PDF, each tier behind its own divider page - 140 sheets in one file.

Every sheet in February 1969

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 1969Write the recurring decimal 0.8888... as a fraction in its simplest form.
  2. 2nd February 1969Make x the subject of y = 6x^2 - 10.
  3. 3rd February 1969A price rises by 20% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
  4. 4th February 1969In triangle ABC, angle A is 35°, angle B is 82° and side a is 10 cm. Use the sine rule to work out side b, to 1 decimal place.
  5. 5th February 19697 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
  6. 6th February 1969A histogram class is 2 units wide and contains 5 values. Work out the frequency density.
  7. 7th February 1969A bill is £504 including VAT at 20%. Work out the amount before VAT.
  8. 8th February 1969Factorise x^2 - 100.
  9. 9th February 1969y is inversely proportional to x. When x = 6, y = 10. Work out y when x = 10.
  10. 10th February 1969A right-angled triangle has sides 8 cm, 15 cm and 17 cm. Work out the angle opposite the 8 cm side, to 1 decimal place.
  11. 11th February 196920 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
  12. 12th February 1969Four classes in order have frequencies 11, 6, 6, 11. Write down the cumulative frequency at the end of the third class.
  13. 13th February 1969A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
  14. 14th February 1969A region is defined by y <= -x + 9. Should the boundary line be solid or dashed, and why?
  15. 15th February 1969y is directly proportional to x^2. When x = 2, y = 24. Work out y when x = 4.
  16. 16th February 1969The point (-4, 6) is enlarged by scale factor -1 about the centre (2, -2). Write down the coordinates of the image.
  17. 17th February 19691 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
  18. 18th February 196950 newts are marked and released. Later 27 are caught, of which 9 are marked. Estimate the population.
  19. 19th February 1969Work out (28 x 10^10) / (7 x 10^4). Give your answer in standard form.
  20. 20th February 1969Factorise x^2 - 3x + 2.
  21. 21st February 1969y is directly proportional to x. When x = 6, y = 18. Work out y when x = 12.
  22. 22nd February 1969Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 1053 cm^3. Work out the volume of the smaller.
  23. 23rd February 196927 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
  24. 24th February 1969A cumulative frequency graph is drawn for 104 values. What cumulative frequency do you read across from to estimate the lower quartile?
  25. 25th February 1969Write the recurring decimal 0.222... as a fraction in its simplest form.
  26. 26th February 1969Work out the equation of the line parallel to y = 4x - 1 that passes through (1, -3).
  27. 27th February 1969A town's population is 25500 and grows by 6% each year. Work out the population after 5 years, to the nearest whole number.
  28. 28th February 1969A right-angled triangle has a hypotenuse of 25 cm and one shorter side of 7 cm. Work out the other shorter side.

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