Daily Practice · Higher

November 1969 5-a-day

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November 1969

30 sheets · 150 questions · Grades 6-7

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The batch download puts all 5 tiers' November 1969 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.

Every sheet in November 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 November 1969ABCD is a cyclic quadrilateral. Angle ABC is 124°. Work out angle ADC.
  2. 2nd November 196931 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
  3. 3rd November 1969A cumulative frequency graph is drawn for 140 values. What cumulative frequency do you read across from to estimate the lower quartile?
  4. 4th November 1969A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
  5. 5th November 1969For the curve y = -5/x, work out y when x = 5, and write down the equation of its vertical asymptote.
  6. 6th November 1969A town's population is 12000 and grows by 6% each year. Work out the population after 2 years, to the nearest whole number.
  7. 7th November 1969A, B and C are points on a circle with centre O. Angle AOC is 70°. Work out angle ABC, where B is on the major arc.
  8. 8th November 19692 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
  9. 9th November 1969A box plot has a minimum of 13 and a maximum of 30. Work out the range.
  10. 10th November 1969Work out (21 x 10^11) / (3 x 10^4). Give your answer in standard form.
  11. 11th November 1969Expand and simplify (x + 2)(x + 5)(x - 2).
  12. 12th November 1969A block has volume 40 cm^3 and density 8 g/cm^3. Work out its mass.
  13. 13th November 1969A cone has base radius 9 cm and vertical height 18 cm. Work out its volume, leaving your answer in terms of pi.
  14. 14th November 196916 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
  15. 15th November 1969A box plot has minimum 12, lower quartile 15, median 24, upper quartile 30 and maximum 32. Work out the interquartile range.
  16. 16th November 1969Write the recurring decimal 0.333... as a fraction in its simplest form.
  17. 17th November 1969Make x the subject of y = 9x^2 - 12.
  18. 18th November 1969x : y = 5 : 6. Write y in terms of x.
  19. 19th November 1969In triangle ABC, angle A is 66°, angle B is 35° and side a is 10 cm. Use the sine rule to work out side b, to 1 decimal place.
  20. 20th November 19695 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
  21. 21st November 1969A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
  22. 22nd November 1969Work out 125^(2/3).
  23. 23rd November 1969Factorise x^2 - 25.
  24. 24th November 1969A price rises by 15% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
  25. 25th November 1969A right-angled triangle has sides 6 cm, 8 cm and 10 cm. Work out the angle opposite the 6 cm side, to 1 decimal place.
  26. 26th November 196917 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
  27. 27th November 1969A histogram class is 10 units wide and contains 20 values. Work out the frequency density.
  28. 28th November 1969Write sqrt(45) in the form a sqrt(b), where b is as small as possible.
  29. 29th November 1969A region is defined by y <= -5x - 9. Should the boundary line be solid or dashed, and why?
  30. 30th November 1969y is inversely proportional to x. When x = 2, y = 50. Work out y when x = 10.

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