Daily Practice · Higher
December 1962 5-a-day
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The batch download puts all 5 tiers' December 1962 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in December 1962
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st December 1962y is directly proportional to x^2. When x = 5, y = 50. Work out y when x = 9.
- 2nd December 1962In triangle ABC, angle A is 50°, angle B is 52° and side a is 8 cm. Use the sine rule to work out side b, to 1 decimal place.
- 3rd December 19622 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 4th December 196225 beetles are marked and released. Later 32 are caught, of which 8 are marked. Estimate the population.
- 5th December 1962Work out (6 x 10^7) x (7 x 10^-3). Give your answer in standard form.
- 6th December 1962Factorise x^2 - 25.
- 7th December 1962y is directly proportional to x. When x = 2, y = 20. Work out y when x = 14.
- 8th December 1962A right-angled triangle has sides 20 cm, 21 cm and 29 cm. Work out the angle opposite the 20 cm side, to 1 decimal place.
- 9th December 196217 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 10th December 1962A cumulative frequency graph is drawn for 220 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 11th December 1962Write the recurring decimal 0.2121... as a fraction in its simplest form.
- 12th December 1962A region is defined by y <= -3x - 1. Should the boundary line be solid or dashed, and why?
- 13th December 1962A town's population is 3000 and grows by 6% each year. Work out the population after 5 years, to the nearest whole number.
- 14th December 1962The point (5, 1) is enlarged by scale factor -2 about the centre (-4, -4). Write down the coordinates of the image.
- 15th December 19624 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 16th December 1962A box plot has a minimum of 5 and a maximum of 50. Work out the range.
- 17th December 1962A bill is £72 including VAT at 20%. Work out the amount before VAT.
- 18th December 1962Factorise x^2 - 13x + 36.
- 19th December 1962A block has volume 115 cm^3 and density 3 g/cm^3. Work out its mass.
- 20th December 1962Two 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.
- 21st December 196217 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 22nd December 1962A box plot has minimum 15, lower quartile 24, median 33, upper quartile 38 and maximum 46. Work out the interquartile range.
- 23rd December 1962A code is 2 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 24th December 1962Work out the equation of the line parallel to y = 4x - 7 that passes through (6, 34).
- 25th December 1962x : y = 5 : 8. Write y in terms of x.
- 26th December 1962A right-angled triangle has a hypotenuse of 17 cm and one shorter side of 15 cm. Work out the other shorter side.
- 27th December 19621 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 28th December 1962A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 29th December 1962Work out (64 x 10^7) / (8 x 10^2). Give your answer in standard form.
- 30th December 1962A line has equation y = 4x + 7. Work out the gradient of any line perpendicular to it.
- 31st December 1962A price rises by 15% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.