Daily Practice · Higher
May 1981 5-a-day
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The batch download puts all 5 tiers' May 1981 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 1981
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 1981y is directly proportional to x. When x = 3, y = 18. Work out y when x = 5.
- 2nd May 1981A right-angled triangle has sides 9 cm, 12 cm and 15 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
- 3rd May 19819 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 4th May 1981A cumulative frequency graph is drawn for 224 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 5th May 1981Write 9^-1 as a fraction.
- 6th May 1981A region is defined by y < -2x - 1. Should the boundary line be solid or dashed, and why?
- 7th May 1981A town's population is 22500 and grows by 3% each year. Work out the population after 3 years, to the nearest whole number.
- 8th May 1981The point (4, -2) is enlarged by scale factor -2 about the centre (4, -2). Write down the coordinates of the image.
- 9th May 19813 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 10th May 1981A box plot has a minimum of 20 and a maximum of 43. Work out the range.
- 11th May 1981Work out (7 x 10^8) x (4 x 10^5). Give your answer in standard form.
- 12th May 1981Factorise x^2 + 5x - 24.
- 13th May 1981A block has volume 185 cm^3 and density 11 g/cm^3. Work out its mass.
- 14th May 1981Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 378 cm^3. Work out the volume of the smaller.
- 15th May 198127 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 16th May 1981A box plot has minimum 6, lower quartile 10, median 13, upper quartile 21 and maximum 27. Work out the interquartile range.
- 17th May 1981Write the recurring decimal 0.4949... as a fraction in its simplest form.
- 18th May 1981Work out the equation of the line parallel to y = 3x + 9 that passes through (4, 21).
- 19th May 1981x : y = 2 : 7. Write y in terms of x.
- 20th May 1981A right-angled triangle has a hypotenuse of 25 cm and one shorter side of 7 cm. Work out the other shorter side.
- 21st May 19813 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 22nd May 1981A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 23rd May 1981A bill is £408 including VAT at 20%. Work out the amount before VAT.
- 24th May 1981A line has equation y = -4x + 6. Work out the gradient of any line perpendicular to it.
- 25th May 1981A price rises by 20% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 26th May 1981ABCD is a cyclic quadrilateral. Angle ABC is 86°. Work out angle ADC.
- 27th May 198117 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 28th May 1981A histogram class is 2 units wide and contains 6 values. Work out the frequency density.
- 29th May 1981A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 30th May 1981For the curve y = -4/x, work out y when x = 1, and write down the equation of its vertical asymptote.
- 31st May 1981y is inversely proportional to x. When x = 6, y = 4. Work out y when x = 2.