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April 1976 5-a-day

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April 1976

30 sheets · 150 questions · Grades 6-7

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Every sheet in April 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 April 1976A meal deal has 9 mains, 7 sides and 5 drinks. How many different meals are possible?
  2. 2nd April 1976Work out the equation of the line parallel to y = -2x + 6 that passes through (3, -16).
  3. 3rd April 1976y is directly proportional to x^2. When x = 2, y = 16. Work out y when x = 6.
  4. 4th April 1976A right-angled triangle has a hypotenuse of 15 cm and one shorter side of 9 cm. Work out the other shorter side.
  5. 5th April 19762 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
  6. 6th April 197610 beetles are marked and released. Later 20 are caught, of which 2 are marked. Estimate the population.
  7. 7th April 1976A mass is 13.7 kg, correct to 1 decimal place. Write down the lower bound.
  8. 8th April 1976A line has equation y = 3x + 8. Work out the gradient of any line perpendicular to it.
  9. 9th April 1976y is directly proportional to x. When x = 5, y = 15. Work out y when x = 10.
  10. 10th April 1976ABCD is a cyclic quadrilateral. Angle ABC is 51°. Work out angle ADC.
  11. 11th April 197616 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
  12. 12th April 1976A cumulative frequency graph is drawn for 96 values. What cumulative frequency do you read across from to estimate the lower quartile?
  13. 13th April 1976Write 6^-3 as a fraction.
  14. 14th April 1976For the curve y = -12/x, work out y when x = -2, and write down the equation of its vertical asymptote.
  15. 15th April 1976A town's population is 11500 and grows by 3% each year. Work out the population after 6 years, to the nearest whole number.
  16. 16th April 1976A, B and C are points on a circle with centre O. Angle AOC is 116°. Work out angle ABC, where B is on the major arc.
  17. 17th April 19761 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
  18. 18th April 1976A box plot has a minimum of 8 and a maximum of 23. Work out the range.
  19. 19th April 1976Work out (5 x 10^3) x (2 x 10^-6). Give your answer in standard form.
  20. 20th April 1976Expand and simplify (x + 3)(x + 1)(x - 2).
  21. 21st April 1976A block has volume 15 cm^3 and density 2.5 g/cm^3. Work out its mass.
  22. 22nd April 1976A cone has base radius 8 cm and vertical height 3 cm. Work out its volume, leaving your answer in terms of pi.
  23. 23rd April 197630 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 April 1976A box plot has minimum 10, lower quartile 12, median 16, upper quartile 18 and maximum 23. Work out the interquartile range.
  25. 25th April 1976Write the recurring decimal 0.9090... as a fraction in its simplest form.
  26. 26th April 1976Make x the subject of y = 6x^2 - 8.
  27. 27th April 1976x : y = 5 : 7. Write y in terms of x.
  28. 28th April 1976In triangle ABC, angle A is 30°, angle B is 48° and side a is 15 cm. Use the sine rule to work out side b, to 1 decimal place.
  29. 29th April 19762 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
  30. 30th April 1976A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.

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