Daily Practice · Higher

March 1979 5-a-day

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March 1979

31 sheets · 155 questions · Grades 6-7

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Every sheet in March 1979

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 1979A town's population is 23500 and grows by 6% each year. Work out the population after 2 years, to the nearest whole number.
  2. 2nd March 1979ABCD is a cyclic quadrilateral. Angle ABC is 95°. Work out angle ADC.
  3. 3rd March 197926 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
  4. 4th March 1979A box plot has a minimum of 13 and a maximum of 63. Work out the range.
  5. 5th March 1979Write 6^-3 as a fraction.
  6. 6th March 1979For the curve y = -40/x, work out y when x = -4, and write down the equation of its vertical asymptote.
  7. 7th March 1979A block has volume 160 cm^3 and density 3 g/cm^3. Work out its mass.
  8. 8th March 1979A, B and C are points on a circle with centre O. Angle AOC is 74°. Work out angle ABC, where B is on the major arc.
  9. 9th March 19793 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
  10. 10th March 1979A box plot has minimum 8, lower quartile 18, median 23, upper quartile 25 and maximum 31. Work out the interquartile range.
  11. 11th March 1979Work out (2 x 10^3) x (5 x 10^4). Give your answer in standard form.
  12. 12th March 1979Expand and simplify (x + 4)(x - 5)(x - 5).
  13. 13th March 1979x : y = 2 : 9. Write y in terms of x.
  14. 14th March 1979A cone has base radius 10 cm and vertical height 3 cm. Work out its volume, leaving your answer in terms of pi.
  15. 15th March 197921 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
  16. 16th March 1979A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
  17. 17th March 1979Write the recurring decimal 0.4141... as a fraction in its simplest form.
  18. 18th March 1979Make x the subject of y = 9x^2 - 8.
  19. 19th March 1979A price rises by 10% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
  20. 20th March 1979In triangle ABC, angle A is 71°, angle B is 69° and side a is 14 cm. Use the sine rule to work out side b, to 1 decimal place.
  21. 21st March 19792 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
  22. 22nd March 1979A histogram class is 10 units wide and contains 5 values. Work out the frequency density.
  23. 23rd March 1979A bill is £168 including VAT at 20%. Work out the amount before VAT.
  24. 24th March 1979Factorise x^2 - 81.
  25. 25th March 1979y is inversely proportional to x. When x = 8, y = 30. Work out y when x = 10.
  26. 26th March 1979A right-angled triangle has sides 5 cm, 12 cm and 13 cm. Work out the angle opposite the 5 cm side, to 1 decimal place.
  27. 27th March 197918 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
  28. 28th March 1979Four classes in order have frequencies 4, 4, 4, 5. Write down the cumulative frequency at the end of the third class.
  29. 29th March 1979A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
  30. 30th March 1979A region is defined by y <= 4x + 3. Should the boundary line be solid or dashed, and why?
  31. 31st March 1979y is directly proportional to x^2. When x = 5, y = 150. Work out y when x = 9.

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