Daily Practice · Higher
January 1988 5-a-day
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The batch download puts all 5 tiers' January 1988 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in January 1988
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st January 1988y is directly proportional to x. When x = 7, y = 14. Work out y when x = 12.
- 2nd January 1988A cone has base radius 4 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 3rd January 198822 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 4th January 1988A cumulative frequency graph is drawn for 184 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 5th January 1988A mass is 29.2 kg, correct to 1 decimal place. Write down the lower bound.
- 6th January 1988Make x the subject of y = 2x^2 - 6.
- 7th January 1988A town's population is 22000 and grows by 3% each year. Work out the population after 4 years, to the nearest whole number.
- 8th January 1988In triangle ABC, angle A is 70°, angle B is 48° and side a is 16 cm. Use the sine rule to work out side b, to 1 decimal place.
- 9th January 19884 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 10th January 1988A box plot has a minimum of 7 and a maximum of 45. Work out the range.
- 11th January 1988Write 5^-1 as a fraction.
- 12th January 1988Factorise x^2 - 49.
- 13th January 1988A block has volume 185 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 14th January 1988A 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.
- 15th January 198822 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 16th January 1988A box plot has minimum 15, lower quartile 19, median 25, upper quartile 32 and maximum 40. Work out the interquartile range.
- 17th January 1988Work out (4 x 10^7) x (4 x 10^-5). Give your answer in standard form.
- 18th January 1988A region is defined by y < 4x - 5. Should the boundary line be solid or dashed, and why?
- 19th January 1988x : y = 4 : 9. Write y in terms of x.
- 20th January 1988The point (-1, -2) is enlarged by scale factor -2 about the centre (3, 0). Write down the coordinates of the image.
- 21st January 19881 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 22nd January 1988A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 23rd January 1988Write the recurring decimal 0.1212... as a fraction in its simplest form.
- 24th January 1988Factorise x^2 + 2x - 24.
- 25th January 1988A price rises by 10% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 26th January 1988Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 88 cm^3. Work out the volume of the smaller.
- 27th January 198817 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 28th January 1988A histogram class is 20 units wide and contains 30 values. Work out the frequency density.
- 29th January 1988A bill is £600 including VAT at 20%. Work out the amount before VAT.
- 30th January 1988Work out the equation of the line parallel to y = 4x - 8 that passes through (1, 9).
- 31st January 1988y is inversely proportional to x. When x = 6, y = 36. Work out y when x = 12.