Daily Practice · Higher

March 2020 - Higher 5-a-day

Every Higher sheet published in March 2020, with answers. Grades 6-7 - Higher-tier method and manipulation.

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March 2020

31 sheets · 155 questions · Grades 6-7

Printing for a group?

The batch download puts all 5 tiers' March 2020 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.

Every sheet in March 2020

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

  1. 1st March 2020y is inversely proportional to x. When x = 6, y = 36. Work out y when x = 12.
  2. 2nd March 2020ABCD is a cyclic quadrilateral. Angle ABC is 127°. Work out angle ADC.
  3. 3rd March 202024 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
  4. 4th March 2020Four classes in order have frequencies 6, 3, 7, 9. Write down the cumulative frequency at the end of the third class.
  5. 5th March 2020A mass is 79 kg, correct to the nearest whole number. Write down the upper bound.
  6. 6th March 2020For the curve y = -8/x, work out y when x = 1, and write down the equation of its vertical asymptote.
  7. 7th March 2020y is directly proportional to x^2. When x = 3, y = 27. Work out y when x = 4.
  8. 8th March 2020A, B and C are points on a circle with centre O. Angle AOC is 98°. Work out angle ABC, where B is on the major arc.
  9. 9th March 20203 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
  10. 10th March 202055 fish are marked and released. Later 12 are caught, of which 4 are marked. Estimate the population.
  11. 11th March 2020Write 4^-2 as a fraction.
  12. 12th March 2020Expand and simplify (x - 5)(x - 3)(x + 5).
  13. 13th March 2020y is directly proportional to x. When x = 4, y = 12. Work out y when x = 13.
  14. 14th March 2020A cone has base radius 10 cm and vertical height 21 cm. Work out its volume, leaving your answer in terms of pi.
  15. 15th March 202019 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
  16. 16th March 2020A cumulative frequency graph is drawn for 132 values. What cumulative frequency do you read across from to estimate the lower quartile?
  17. 17th March 2020Work out (6 x 10^4) x (4 x 10^4). Give your answer in standard form.
  18. 18th March 2020Make x the subject of y = 3x^2 - 5.
  19. 19th March 2020A town's population is 16000 and grows by 3% each year. Work out the population after 5 years, to the nearest whole number.
  20. 20th March 2020In triangle ABC, angle A is 72°, angle B is 40° and side a is 7 cm. Use the sine rule to work out side b, to 1 decimal place.
  21. 21st March 20203 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
  22. 22nd March 2020A box plot has a minimum of 17 and a maximum of 49. Work out the range.
  23. 23rd March 2020Write the recurring decimal 0.7070... as a fraction in its simplest form.
  24. 24th March 2020Factorise x^2 - 64.
  25. 25th March 2020A block has volume 10 cm^3 and density 7.5 g/cm^3. Work out its mass.
  26. 26th March 2020A right-angled triangle has sides 8 cm, 15 cm and 17 cm. Work out the angle opposite the 8 cm side, to 1 decimal place.
  27. 27th March 202027 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
  28. 28th March 2020A box plot has minimum 8, lower quartile 14, median 18, upper quartile 24 and maximum 28. Work out the interquartile range.
  29. 29th March 2020A bill is £408 including VAT at 20%. Work out the amount before VAT.
  30. 30th March 2020A region is defined by y < 5x - 7. Should the boundary line be solid or dashed, and why?
  31. 31st March 2020x : y = 4 : 9. Write y in terms of x.

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