Daily Practice · Higher

September 1969 5-a-day

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September 1969

30 sheets · 150 questions · Grades 6-7

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

Every sheet in September 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 September 1969A price rises by 10% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
  2. 2nd September 1969Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 2432 cm^3. Work out the volume of the smaller.
  3. 3rd September 196930 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
  4. 4th September 1969A histogram class is 20 units wide and contains 60 values. Work out the frequency density.
  5. 5th September 1969Work out (30 x 10^9) / (5 x 10^3). Give your answer in standard form.
  6. 6th September 1969Work out the equation of the line parallel to y = 4x + 6 that passes through (6, 19).
  7. 7th September 1969y is inversely proportional to x. When x = 3, y = 40. Work out y when x = 10.
  8. 8th September 1969A right-angled triangle has a hypotenuse of 29 cm and one shorter side of 20 cm. Work out the other shorter side.
  9. 9th September 19696 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
  10. 10th September 1969Four classes in order have frequencies 6, 8, 10, 11. Write down the cumulative frequency at the end of the third class.
  11. 11th September 1969Write the recurring decimal 0.222... as a fraction in its simplest form.
  12. 12th September 1969A line has equation y = -3x + 3. Work out the gradient of any line perpendicular to it.
  13. 13th September 1969y is directly proportional to x^2. When x = 6, y = 108. Work out y when x = 3.
  14. 14th September 1969ABCD is a cyclic quadrilateral. Angle ABC is 130°. Work out angle ADC.
  15. 15th September 19697 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
  16. 16th September 196945 newts are marked and released. Later 18 are caught, of which 6 are marked. Estimate the population.
  17. 17th September 1969Work out 216^(2/3).
  18. 18th September 1969For the curve y = 50/x, work out y when x = -10, and write down the equation of its vertical asymptote.
  19. 19th September 1969y is directly proportional to x. When x = 5, y = 45. Work out y when x = 15.
  20. 20th September 1969A, B and C are points on a circle with centre O. Angle AOC is 168°. Work out angle ABC, where B is on the major arc.
  21. 21st September 19693 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
  22. 22nd September 1969A cumulative frequency graph is drawn for 76 values. What cumulative frequency do you read across from to estimate the lower quartile?
  23. 23rd September 1969Write sqrt(98) in the form a sqrt(b), where b is as small as possible.
  24. 24th September 1969Expand and simplify (x - 4)(x + 3)(x - 5).
  25. 25th September 1969A town's population is 6000 and grows by 8% each year. Work out the population after 3 years, to the nearest whole number.
  26. 26th September 1969A cone has base radius 5 cm and vertical height 18 cm. Work out its volume, leaving your answer in terms of pi.
  27. 27th September 196927 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
  28. 28th September 1969A box plot has a minimum of 14 and a maximum of 70. Work out the range.
  29. 29th September 1969A meal deal has 4 mains, 3 sides and 5 drinks. How many different meals are possible?
  30. 30th September 1969Make x the subject of y = 6x^2 - 10.

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