Daily Practice · Higher
February 1984 5-a-day
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The batch download puts all 5 tiers' February 1984 sheets in a single PDF, each tier behind its own divider page - 145 sheets in one file.
Every sheet in February 1984
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 1984Write the recurring decimal 0.6767... as a fraction in its simplest form.
- 2nd February 1984Factorise x^2 - 121.
- 3rd February 1984y is directly proportional to x. When x = 3, y = 12. Work out y when x = 2.
- 4th February 1984A 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.
- 5th February 19849 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 6th February 1984A cumulative frequency graph is drawn for 228 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 7th February 1984A bill is £48 including VAT at 20%. Work out the amount before VAT.
- 8th February 1984A region is defined by y < 3x + 5. Should the boundary line be solid or dashed, and why?
- 9th February 1984A town's population is 28500 and grows by 4% each year. Work out the population after 5 years, to the nearest whole number.
- 10th February 1984The point (-4, 2) is enlarged by scale factor -2 about the centre (-2, 2). Write down the coordinates of the image.
- 11th February 19842 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 12th February 1984A box plot has a minimum of 5 and a maximum of 21. Work out the range.
- 13th February 1984A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 14th February 1984Factorise x^2 + x - 42.
- 15th February 1984A block has volume 155 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 16th February 1984Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 832 cm^3. Work out the volume of the smaller.
- 17th February 198424 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 18th February 1984A box plot has minimum 6, lower quartile 15, median 23, upper quartile 33 and maximum 36. Work out the interquartile range.
- 19th February 1984Work out (15 x 10^11) / (3 x 10^2). Give your answer in standard form.
- 20th February 1984Work out the equation of the line parallel to y = -4x - 9 that passes through (6, -36).
- 21st February 1984x : y = 3 : 4. Write y in terms of x.
- 22nd February 1984A right-angled triangle has a hypotenuse of 5 cm and one shorter side of 3 cm. Work out the other shorter side.
- 23rd February 19846 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 24th February 1984A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 25th February 1984Write the recurring decimal 0.777... as a fraction in its simplest form.
- 26th February 1984A line has equation y = -2x + 9. Work out the gradient of any line perpendicular to it.
- 27th February 1984A price rises by 15% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 28th February 1984ABCD is a cyclic quadrilateral. Angle ABC is 58°. Work out angle ADC.
- 29th February 198417 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.