Daily Practice · Higher

February 1976 5-a-day

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February 1976

29 sheets · 145 questions · Grades 6-7

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The batch download puts all 5 tiers' February 1976 sheets in a single PDF, each tier behind its own divider page - 145 sheets in one file.

Every sheet in February 1976

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 1976A mass is 240 kg, correct to the nearest 10. Write down the upper bound.
  2. 2nd February 1976A region is defined by y < -4x - 9. Should the boundary line be solid or dashed, and why?
  3. 3rd February 1976x : y = 3 : 4. Write y in terms of x.
  4. 4th February 1976The point (4, 5) is enlarged by scale factor -1 about the centre (2, 0). Write down the coordinates of the image.
  5. 5th February 19761 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
  6. 6th February 1976A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
  7. 7th February 1976Write 4^-2 as a fraction.
  8. 8th February 1976Factorise x^2 - x - 42.
  9. 9th February 1976A price rises by 20% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
  10. 10th February 1976Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 675 cm^3. Work out the volume of the smaller.
  11. 11th February 197610 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 February 1976A histogram class is 2 units wide and contains 8 values. Work out the frequency density.
  13. 13th February 1976Work out (3 x 10^6) x (5 x 10^-5). Give your answer in standard form.
  14. 14th February 1976Work out the equation of the line parallel to y = 5x - 8 that passes through (3, 19).
  15. 15th February 1976y is inversely proportional to x. When x = 8, y = 12. Work out y when x = 4.
  16. 16th February 1976A right-angled triangle has a hypotenuse of 20 cm and one shorter side of 16 cm. Work out the other shorter side.
  17. 17th February 19764 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
  18. 18th February 1976Four classes in order have frequencies 9, 7, 10, 11. Write down the cumulative frequency at the end of the third class.
  19. 19th February 1976Write the recurring decimal 0.5151... as a fraction in its simplest form.
  20. 20th February 1976A line has equation y = -2x + 9. Work out the gradient of any line perpendicular to it.
  21. 21st February 1976y is directly proportional to x^2. When x = 2, y = 12. Work out y when x = 6.
  22. 22nd February 1976ABCD is a cyclic quadrilateral. Angle ABC is 67°. Work out angle ADC.
  23. 23rd February 197619 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 February 197660 fish are marked and released. Later 27 are caught, of which 3 are marked. Estimate the population.
  25. 25th February 1976A bill is £696 including VAT at 20%. Work out the amount before VAT.
  26. 26th February 1976For the curve y = -24/x, work out y when x = -4, and write down the equation of its vertical asymptote.
  27. 27th February 1976y is directly proportional to x. When x = 5, y = 30. Work out y when x = 2.
  28. 28th February 1976A, B and C are points on a circle with centre O. Angle AOC is 160°. Work out angle ABC, where B is on the major arc.
  29. 29th February 19764 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.

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