Daily Practice · Higher
February 1982 5-a-day
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The batch download puts all 5 tiers' February 1982 sheets in a single PDF, each tier behind its own divider page - 140 sheets in one file.
Every sheet in February 1982
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 1982A price rises by 15% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 2nd February 1982A cone has base radius 7 cm and vertical height 18 cm. Work out its volume, leaving your answer in terms of pi.
- 3rd February 198213 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 4th February 1982A histogram class is 5 units wide and contains 12.5 values. Work out the frequency density.
- 5th February 1982Write the recurring decimal 0.1616... as a fraction in its simplest form.
- 6th February 1982Make x the subject of y = 9x^2 - 5.
- 7th February 1982y is inversely proportional to x. When x = 9, y = 6. Work out y when x = 6.
- 8th February 1982In triangle ABC, angle A is 80°, angle B is 36° and side a is 20 cm. Use the sine rule to work out side b, to 1 decimal place.
- 9th February 19823 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 10th February 1982Four classes in order have frequencies 11, 6, 7, 12. Write down the cumulative frequency at the end of the third class.
- 11th February 1982A bill is £744 including VAT at 20%. Work out the amount before VAT.
- 12th February 1982Factorise x^2 - 144.
- 13th February 1982y is directly proportional to x^2. When x = 5, y = 100. Work out y when x = 2.
- 14th February 1982A right-angled triangle has sides 7 cm, 24 cm and 25 cm. Work out the angle opposite the 7 cm side, to 1 decimal place.
- 15th February 198214 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 16th February 198215 voles are marked and released. Later 30 are caught, of which 5 are marked. Estimate the population.
- 17th February 1982A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 18th February 1982A region is defined by y <= 3x - 8. Should the boundary line be solid or dashed, and why?
- 19th February 1982y is directly proportional to x. When x = 2, y = 4. Work out y when x = 15.
- 20th February 1982The point (-2, 5) is enlarged by scale factor -1 about the centre (-2, -1). Write down the coordinates of the image.
- 21st February 19825 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 22nd February 1982A cumulative frequency graph is drawn for 64 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 23rd February 1982Work out (56 x 10^7) / (8 x 10^3). Give your answer in standard form.
- 24th February 1982Factorise x^2 + 5x - 14.
- 25th February 1982A town's population is 14000 and grows by 4% each year. Work out the population after 5 years, to the nearest whole number.
- 26th February 1982Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 256 cm^3. Work out the volume of the smaller.
- 27th February 198222 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 28th February 1982A box plot has a minimum of 10 and a maximum of 48. Work out the range.