Daily Practice · Higher

February 1962 5-a-day

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February 1962

28 sheets · 140 questions · Grades 6-7

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The batch download puts all 5 tiers' February 1962 sheets in a single PDF, each tier behind its own divider page - 140 sheets in one file.

Every sheet in February 1962

The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.

  1. 1st February 1962A histogram class is 2 units wide and contains 1 values. Work out the frequency density.
  2. 2nd February 1962Work out (36 x 10^9) / (4 x 10^2). Give your answer in standard form.
  3. 3rd February 1962For the curve y = 4/x, work out y when x = 1, and write down the equation of its vertical asymptote.
  4. 4th February 1962y is inversely proportional to x. When x = 6, y = 30. Work out y when x = 10.
  5. 5th February 1962A, B and C are points on a circle with centre O. Angle AOC is 156°. Work out angle ABC, where B is on the major arc.
  6. 6th February 19623 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
  7. 7th February 1962Four classes in order have frequencies 6, 8, 6, 7. Write down the cumulative frequency at the end of the third class.
  8. 8th February 1962Write the recurring decimal 0.111... as a fraction in its simplest form.
  9. 9th February 1962Expand and simplify (x - 3)(x - 2)(x + 4).
  10. 10th February 1962y is directly proportional to x^2. When x = 6, y = 72. Work out y when x = 2.
  11. 11th February 1962A cone has base radius 10 cm and vertical height 9 cm. Work out its volume, leaving your answer in terms of pi.
  12. 12th February 196219 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
  13. 13th February 196235 newts are marked and released. Later 36 are caught, of which 4 are marked. Estimate the population.
  14. 14th February 1962Work out 8^(2/3).
  15. 15th February 1962Make x the subject of y = 2x^2 - 3.
  16. 16th February 1962y is directly proportional to x. When x = 7, y = 63. Work out y when x = 5.
  17. 17th February 1962In triangle ABC, angle A is 60°, angle B is 39° and side a is 17 cm. Use the sine rule to work out side b, to 1 decimal place.
  18. 18th February 19621 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
  19. 19th February 1962A cumulative frequency graph is drawn for 48 values. What cumulative frequency do you read across from to estimate the lower quartile?
  20. 20th February 1962Write sqrt(27) in the form a sqrt(b), where b is as small as possible.
  21. 21st February 1962Factorise x^2 - 25.
  22. 22nd February 1962A town's population is 11000 and grows by 8% each year. Work out the population after 2 years, to the nearest whole number.
  23. 23rd February 1962A right-angled triangle has sides 20 cm, 21 cm and 29 cm. Work out the angle opposite the 20 cm side, to 1 decimal place.
  24. 24th February 196222 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
  25. 25th February 1962A box plot has a minimum of 8 and a maximum of 38. Work out the range.
  26. 26th February 1962A meal deal has 9 mains, 4 sides and 5 drinks. How many different meals are possible?
  27. 27th February 1962A region is defined by y <= -2x + 3. Should the boundary line be solid or dashed, and why?
  28. 28th February 1962A block has volume 150 cm^3 and density 8 g/cm^3. Work out its mass.

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