Daily Practice · Higher
December 1983 5-a-day
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The batch download puts all 5 tiers' December 1983 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in December 1983
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st December 19834 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 2nd December 1983A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 3rd December 1983A bill is £456 including VAT at 20%. Work out the amount before VAT.
- 4th December 1983Expand and simplify (x - 2)(x + 1)(x + 2).
- 5th December 1983A price rises by 10% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 6th December 1983A cone has base radius 7 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 7th December 198321 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 8th December 1983A histogram class is 4 units wide and contains 12 values. Work out the frequency density.
- 9th December 1983A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 10th December 1983Make x the subject of y = 7x^2 - 8.
- 11th December 1983y is inversely proportional to x. When x = 2, y = 10. Work out y when x = 5.
- 12th December 1983In triangle ABC, angle A is 57°, angle B is 34° and side a is 13 cm. Use the sine rule to work out side b, to 1 decimal place.
- 13th December 19833 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 14th December 1983Four classes in order have frequencies 5, 4, 6, 12. Write down the cumulative frequency at the end of the third class.
- 15th December 1983Work out (35 x 10^8) / (7 x 10^5). Give your answer in standard form.
- 16th December 1983Factorise x^2 - 16.
- 17th December 1983y is directly proportional to x^2. When x = 5, y = 75. Work out y when x = 6.
- 18th December 1983A right-angled triangle has sides 6 cm, 8 cm and 10 cm. Work out the angle opposite the 6 cm side, to 1 decimal place.
- 19th December 198314 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 20th December 198320 voles are marked and released. Later 32 are caught, of which 8 are marked. Estimate the population.
- 21st December 1983Write the recurring decimal 0.666... as a fraction in its simplest form.
- 22nd December 1983A region is defined by y < 2x + 5. Should the boundary line be solid or dashed, and why?
- 23rd December 1983y is directly proportional to x. When x = 7, y = 42. Work out y when x = 4.
- 24th December 1983The point (6, -1) is enlarged by scale factor -1 about the centre (3, -4). Write down the coordinates of the image.
- 25th December 19831 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 26th December 1983A cumulative frequency graph is drawn for 96 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 27th December 1983Work out 100^(3/2).
- 28th December 1983Factorise x^2 - 9x + 14.
- 29th December 1983A town's population is 2000 and grows by 8% each year. Work out the population after 5 years, to the nearest whole number.
- 30th December 1983Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 1472 cm^3. Work out the volume of the smaller.
- 31st December 198322 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.