Daily Practice · Higher

September 1979 5-a-day

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September 1979

30 sheets · 150 questions · Grades 6-7

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Every sheet in September 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 September 1979Write sqrt(50) in the form a sqrt(b), where b is as small as possible.
  2. 2nd September 1979Work out the equation of the line parallel to y = -4x + 8 that passes through (2, -18).
  3. 3rd September 1979A price rises by 25% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
  4. 4th September 1979A right-angled triangle has a hypotenuse of 20 cm and one shorter side of 16 cm. Work out the other shorter side.
  5. 5th September 19791 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
  6. 6th September 1979A histogram class is 5 units wide and contains 15 values. Work out the frequency density.
  7. 7th September 1979A meal deal has 6 mains, 8 sides and 4 drinks. How many different meals are possible?
  8. 8th September 1979A line has equation y = -4x + 6. Work out the gradient of any line perpendicular to it.
  9. 9th September 1979y is inversely proportional to x. When x = 9, y = 36. Work out y when x = 12.
  10. 10th September 1979ABCD is a cyclic quadrilateral. Angle ABC is 112°. Work out angle ADC.
  11. 11th September 197924 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
  12. 12th September 1979Four classes in order have frequencies 9, 7, 10, 12. Write down the cumulative frequency at the end of the third class.
  13. 13th September 1979A mass is 17.5 kg, correct to 1 decimal place. Write down the upper bound.
  14. 14th September 1979For the curve y = -35/x, work out y when x = -5, and write down the equation of its vertical asymptote.
  15. 15th September 1979y is directly proportional to x^2. When x = 5, y = 125. Work out y when x = 6.
  16. 16th September 1979A, B and C are points on a circle with centre O. Angle AOC is 94°. Work out angle ABC, where B is on the major arc.
  17. 17th September 19792 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
  18. 18th September 197940 fish are marked and released. Later 108 are caught, of which 9 are marked. Estimate the population.
  19. 19th September 1979Write 5^-2 as a fraction.
  20. 20th September 1979Expand and simplify (x - 5)(x + 5)(x - 3).
  21. 21st September 1979y is directly proportional to x. When x = 8, y = 88. Work out y when x = 12.
  22. 22nd September 1979A cone has base radius 2 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
  23. 23rd September 197922 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
  24. 24th September 1979A cumulative frequency graph is drawn for 232 values. What cumulative frequency do you read across from to estimate the lower quartile?
  25. 25th September 1979Work out (9 x 10^3) x (6 x 10^-4). Give your answer in standard form.
  26. 26th September 1979Make x the subject of y = 3x^2 - 11.
  27. 27th September 1979A town's population is 5000 and grows by 4% each year. Work out the population after 5 years, to the nearest whole number.
  28. 28th September 1979In triangle ABC, angle A is 70°, angle B is 47° and side a is 10 cm. Use the sine rule to work out side b, to 1 decimal place.
  29. 29th September 19795 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
  30. 30th September 1979A box plot has a minimum of 19 and a maximum of 46. Work out the range.

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