Daily Practice · Higher

February 1960 5-a-day

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February 1960

29 sheets · 145 questions · Grades 6-7

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The batch download puts all 5 tiers' February 1960 sheets in a single PDF, each tier behind its own divider page - 145 sheets in one file.

Every sheet in February 1960

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 1960A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
  2. 2nd February 1960Work out the equation of the line parallel to y = -x + 9 that passes through (4, -15).
  3. 3rd February 1960A block has volume 125 cm^3 and density 11 g/cm^3. Work out its mass.
  4. 4th February 1960A right-angled triangle has a hypotenuse of 17 cm and one shorter side of 15 cm. Work out the other shorter side.
  5. 5th February 19605 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
  6. 6th February 1960A box plot has minimum 8, lower quartile 15, median 17, upper quartile 23 and maximum 32. Work out the interquartile range.
  7. 7th February 1960Work out (32 x 10^7) / (8 x 10^2). Give your answer in standard form.
  8. 8th February 1960A line has equation y = -4x + 3. Work out the gradient of any line perpendicular to it.
  9. 9th February 1960x : y = 7 : 9. Write y in terms of x.
  10. 10th February 1960ABCD is a cyclic quadrilateral. Angle ABC is 81°. Work out angle ADC.
  11. 11th February 196023 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
  12. 12th February 1960A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
  13. 13th February 1960Write the recurring decimal 0.777... as a fraction in its simplest form.
  14. 14th February 1960For the curve y = -40/x, work out y when x = 10, and write down the equation of its vertical asymptote.
  15. 15th February 1960A price rises by 25% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
  16. 16th February 1960A, B and C are points on a circle with centre O. Angle AOC is 80°. Work out angle ABC, where B is on the major arc.
  17. 17th February 19601 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
  18. 18th February 1960A histogram class is 10 units wide and contains 5 values. Work out the frequency density.
  19. 19th February 1960Work out 49^(3/2).
  20. 20th February 1960Expand and simplify (x - 1)(x - 5)(x + 3).
  21. 21st February 1960y is inversely proportional to x. When x = 5, y = 36. Work out y when x = 12.
  22. 22nd February 1960A cone has base radius 6 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
  23. 23rd February 196019 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
  24. 24th February 1960Four classes in order have frequencies 12, 4, 6, 9. Write down the cumulative frequency at the end of the third class.
  25. 25th February 1960Write sqrt(72) in the form a sqrt(b), where b is as small as possible.
  26. 26th February 1960Make x the subject of y = 4x^2 - 12.
  27. 27th February 1960y is directly proportional to x^2. When x = 4, y = 32. Work out y when x = 5.
  28. 28th February 1960In triangle ABC, angle A is 69°, angle B is 76° and side a is 8 cm. Use the sine rule to work out side b, to 1 decimal place.
  29. 29th February 19604 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.

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