Daily Practice · Higher
April 1982 5-a-day
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The batch download puts all 5 tiers' April 1982 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 1982
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 1982Factorise x^2 - 4.
- 2nd April 1982y is directly proportional to x. When x = 3, y = 27. Work out y when x = 2.
- 3rd April 1982A right-angled triangle has sides 10 cm, 24 cm and 26 cm. Work out the angle opposite the 10 cm side, to 1 decimal place.
- 4th April 198211 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 5th April 1982A cumulative frequency graph is drawn for 76 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 6th April 1982Work out (6 x 10^6) x (3 x 10^4). Give your answer in standard form.
- 7th April 1982A region is defined by y < 4x + 9. Should the boundary line be solid or dashed, and why?
- 8th April 1982A town's population is 7000 and grows by 4% each year. Work out the population after 3 years, to the nearest whole number.
- 9th April 1982The point (-1, -2) is enlarged by scale factor -3 about the centre (4, -2). Write down the coordinates of the image.
- 10th April 19824 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 11th April 1982A box plot has a minimum of 7 and a maximum of 40. Work out the range.
- 12th April 1982Write the recurring decimal 0.2222... as a fraction in its simplest form.
- 13th April 1982Factorise x^2 + 6x - 27.
- 14th April 1982A block has volume 35 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 15th April 1982Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 288 cm^3. Work out the volume of the smaller.
- 16th April 198223 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 17th April 1982A box plot has minimum 15, lower quartile 25, median 27, upper quartile 37 and maximum 41. Work out the interquartile range.
- 18th April 1982A bill is £360 including VAT at 20%. Work out the amount before VAT.
- 19th April 1982Work out the equation of the line parallel to y = x - 5 that passes through (4, -8).
- 20th April 1982x : y = 3 : 8. Write y in terms of x.
- 21st April 1982A right-angled triangle has a hypotenuse of 41 cm and one shorter side of 40 cm. Work out the other shorter side.
- 22nd April 19824 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 23rd April 1982A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 24th April 1982A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 25th April 1982A line has equation y = 2x + 7. Work out the gradient of any line perpendicular to it.
- 26th April 1982A price rises by 20% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 27th April 1982ABCD is a cyclic quadrilateral. Angle ABC is 72°. Work out angle ADC.
- 28th April 198224 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 29th April 1982A histogram class is 20 units wide and contains 80 values. Work out the frequency density.
- 30th April 1982Work out (81 x 10^10) / (9 x 10^2). Give your answer in standard form.