Daily Practice · Higher

March 1977 5-a-day

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March 1977

31 sheets · 155 questions · Grades 6-7

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Every sheet in March 1977

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 197716 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
  2. 2nd March 1977Four classes in order have frequencies 4, 4, 12, 6. Write down the cumulative frequency at the end of the third class.
  3. 3rd March 1977A mass is 19.4 kg, correct to 1 decimal place. Write down the lower bound.
  4. 4th March 1977Work out the equation of the line parallel to y = 4x - 7 that passes through (5, 17).
  5. 5th March 1977y is directly proportional to x^2. When x = 6, y = 288. Work out y when x = 9.
  6. 6th March 1977A right-angled triangle has a hypotenuse of 15 cm and one shorter side of 12 cm. Work out the other shorter side.
  7. 7th March 19775 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
  8. 8th March 197740 beetles are marked and released. Later 15 are caught, of which 5 are marked. Estimate the population.
  9. 9th March 1977Write 3^-2 as a fraction.
  10. 10th March 1977A line has equation y = -5x + 9. Work out the gradient of any line perpendicular to it.
  11. 11th March 1977y is directly proportional to x. When x = 5, y = 50. Work out y when x = 12.
  12. 12th March 1977ABCD is a cyclic quadrilateral. Angle ABC is 92°. Work out angle ADC.
  13. 13th March 197725 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
  14. 14th March 1977A cumulative frequency graph is drawn for 136 values. What cumulative frequency do you read across from to estimate the lower quartile?
  15. 15th March 1977Work out (7 x 10^7) x (2 x 10^4). Give your answer in standard form.
  16. 16th March 1977For the curve y = -60/x, work out y when x = 10, and write down the equation of its vertical asymptote.
  17. 17th March 1977A town's population is 15500 and grows by 6% each year. Work out the population after 2 years, to the nearest whole number.
  18. 18th March 1977A, B and C are points on a circle with centre O. Angle AOC is 176°. Work out angle ABC, where B is on the major arc.
  19. 19th March 19771 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
  20. 20th March 1977A box plot has a minimum of 12 and a maximum of 70. Work out the range.
  21. 21st March 1977Write the recurring decimal 0.1414... as a fraction in its simplest form.
  22. 22nd March 1977Expand and simplify (x - 4)(x + 4)(x + 4).
  23. 23rd March 1977A block has volume 195 cm^3 and density 4 g/cm^3. Work out its mass.
  24. 24th March 1977A cone has base radius 4 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
  25. 25th March 197725 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
  26. 26th March 1977A box plot has minimum 10, lower quartile 14, median 17, upper quartile 21 and maximum 29. Work out the interquartile range.
  27. 27th March 1977A bill is £792 including VAT at 20%. Work out the amount before VAT.
  28. 28th March 1977Make x the subject of y = 2x^2 - 10.
  29. 29th March 1977x : y = 2 : 9. Write y in terms of x.
  30. 30th March 1977In triangle ABC, angle A is 64°, angle B is 50° and side a is 9 cm. Use the sine rule to work out side b, to 1 decimal place.
  31. 31st March 19775 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.

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