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February 1974 5-a-day

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February 1974

28 sheets · 140 questions · Grades 6-7

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Every sheet in February 1974

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 1974y is directly proportional to x. When x = 8, y = 88. Work out y when x = 9.
  2. 2nd February 1974In triangle ABC, angle A is 46°, angle B is 53° and side a is 16 cm. Use the sine rule to work out side b, to 1 decimal place.
  3. 3rd February 19744 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
  4. 4th February 1974A cumulative frequency graph is drawn for 188 values. What cumulative frequency do you read across from to estimate the lower quartile?
  5. 5th February 1974A mass is 16.5 kg, correct to 1 decimal place. Write down the upper bound.
  6. 6th February 1974Factorise x^2 - 9.
  7. 7th February 1974A town's population is 30500 and grows by 8% each year. Work out the population after 2 years, to the nearest whole number.
  8. 8th February 1974A right-angled triangle has sides 12 cm, 16 cm and 20 cm. Work out the angle opposite the 12 cm side, to 1 decimal place.
  9. 9th February 197424 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
  10. 10th February 1974A box plot has a minimum of 20 and a maximum of 66. Work out the range.
  11. 11th February 1974Write 6^-2 as a fraction.
  12. 12th February 1974A region is defined by y <= -x - 3. Should the boundary line be solid or dashed, and why?
  13. 13th February 1974A block has volume 15 cm^3 and density 2.5 g/cm^3. Work out its mass.
  14. 14th February 1974The point (0, 4) is enlarged by scale factor -3 about the centre (2, -1). Write down the coordinates of the image.
  15. 15th February 19742 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
  16. 16th February 1974A box plot has minimum 11, lower quartile 17, median 19, upper quartile 24 and maximum 29. Work out the interquartile range.
  17. 17th February 1974Work out (8 x 10^6) x (2 x 10^-6). Give your answer in standard form.
  18. 18th February 1974Factorise x^2 + 10x + 9.
  19. 19th February 1974x : y = 7 : 9. Write y in terms of x.
  20. 20th February 1974Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 232 cm^3. Work out the volume of the smaller.
  21. 21st February 197423 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 February 1974A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
  23. 23rd February 1974Write the recurring decimal 0.1515... as a fraction in its simplest form.
  24. 24th February 1974Work out the equation of the line parallel to y = -2x - 2 that passes through (3, 3).
  25. 25th February 1974A price rises by 20% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
  26. 26th February 1974A right-angled triangle has a hypotenuse of 10 cm and one shorter side of 8 cm. Work out the other shorter side.
  27. 27th February 19746 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
  28. 28th February 1974A histogram class is 20 units wide and contains 30 values. Work out the frequency density.

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