Daily Practice · Higher
March 1983 5-a-day
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The batch download puts all 5 tiers' March 1983 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 1983
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 198315 voles are marked and released. Later 56 are caught, of which 7 are marked. Estimate the population.
- 2nd March 1983Work out (3 x 10^3) x (2 x 10^-2). Give your answer in standard form.
- 3rd March 1983Factorise x^2 - 16.
- 4th March 1983y is directly proportional to x. When x = 7, y = 56. Work out y when x = 14.
- 5th March 1983A right-angled triangle has sides 12 cm, 16 cm and 20 cm. Work out the angle opposite the 12 cm side, to 1 decimal place.
- 6th March 198328 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 7th March 1983A cumulative frequency graph is drawn for 84 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 8th March 1983Write the recurring decimal 0.8484... as a fraction in its simplest form.
- 9th March 1983A region is defined by y < x + 3. Should the boundary line be solid or dashed, and why?
- 10th March 1983A town's population is 28000 and grows by 8% each year. Work out the population after 5 years, to the nearest whole number.
- 11th March 1983The point (-3, 3) is enlarged by scale factor -3 about the centre (-4, 3). Write down the coordinates of the image.
- 12th March 19834 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 13th March 1983A box plot has a minimum of 11 and a maximum of 57. Work out the range.
- 14th March 1983A bill is £384 including VAT at 20%. Work out the amount before VAT.
- 15th March 1983Factorise x^2 - 17x + 72.
- 16th March 1983A block has volume 105 cm^3 and density 4 g/cm^3. Work out its mass.
- 17th March 1983Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 405 cm^3. Work out the volume of the smaller.
- 18th March 198316 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 19th March 1983A box plot has minimum 8, lower quartile 17, median 26, upper quartile 31 and maximum 36. Work out the interquartile range.
- 20th March 1983A code is 2 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 21st March 1983Work out the equation of the line parallel to y = 2x - 8 that passes through (6, 15).
- 22nd March 1983x : y = 3 : 7. Write y in terms of x.
- 23rd March 1983A right-angled triangle has a hypotenuse of 41 cm and one shorter side of 40 cm. Work out the other shorter side.
- 24th March 19831 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 25th March 1983A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 26th March 1983Work out (42 x 10^7) / (7 x 10^5). Give your answer in standard form.
- 27th March 1983A line has equation y = -2x + 8. Work out the gradient of any line perpendicular to it.
- 28th March 1983A price rises by 15% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 29th March 1983ABCD is a cyclic quadrilateral. Angle ABC is 84°. Work out angle ADC.
- 30th March 198323 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 31st March 1983A histogram class is 5 units wide and contains 12.5 values. Work out the frequency density.