Daily Practice · Higher
January 1983 5-a-day
Printing for a group?
The batch download puts all 5 tiers' January 1983 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in January 1983
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st January 1983Write the recurring decimal 0.2323... as a fraction in its simplest form.
- 2nd January 1983Expand and simplify (x + 1)(x - 5)(x - 5).
- 3rd January 1983A price rises by 20% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 4th January 1983A cone has base radius 10 cm and vertical height 3 cm. Work out its volume, leaving your answer in terms of pi.
- 5th January 198315 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 6th January 1983A histogram class is 20 units wide and contains 80 values. Work out the frequency density.
- 7th January 1983A bill is £816 including VAT at 20%. Work out the amount before VAT.
- 8th January 1983Make x the subject of y = 5x^2 - 7.
- 9th January 1983y is inversely proportional to x. When x = 6, y = 30. Work out y when x = 5.
- 10th January 1983In triangle ABC, angle A is 74°, angle B is 58° and side a is 19 cm. Use the sine rule to work out side b, to 1 decimal place.
- 11th January 19831 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 12th January 1983Four classes in order have frequencies 10, 4, 9, 9. Write down the cumulative frequency at the end of the third class.
- 13th January 1983A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 14th January 1983Factorise x^2 - 100.
- 15th January 1983y is directly proportional to x^2. When x = 4, y = 64. Work out y when x = 3.
- 16th January 1983A right-angled triangle has sides 5 cm, 12 cm and 13 cm. Work out the angle opposite the 5 cm side, to 1 decimal place.
- 17th January 198321 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 18th January 198340 voles are marked and released. Later 42 are caught, of which 7 are marked. Estimate the population.
- 19th January 1983Work out (32 x 10^10) / (8 x 10^3). Give your answer in standard form.
- 20th January 1983A region is defined by y <= 5x + 6. Should the boundary line be solid or dashed, and why?
- 21st January 1983y is directly proportional to x. When x = 6, y = 42. Work out y when x = 3.
- 22nd January 1983The point (-6, -3) is enlarged by scale factor -3 about the centre (3, -2). Write down the coordinates of the image.
- 23rd January 19831 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 24th January 1983A cumulative frequency graph is drawn for 76 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 25th January 1983Write the recurring decimal 0.222... as a fraction in its simplest form.
- 26th January 1983Factorise x^2 + 11x + 30.
- 27th January 1983A town's population is 8000 and grows by 8% each year. Work out the population after 4 years, to the nearest whole number.
- 28th January 1983Two 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.
- 29th January 198323 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 30th January 1983A box plot has a minimum of 2 and a maximum of 54. Work out the range.
- 31st January 1983Work out 64^(2/3).