Daily Practice · Higher
December 1988 5-a-day
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The batch download puts all 5 tiers' December 1988 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in December 1988
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st December 1988Expand and simplify (x - 1)(x + 3)(x + 2).
- 2nd December 1988y is directly proportional to x. When x = 7, y = 42. Work out y when x = 6.
- 3rd December 1988A cone has base radius 3 cm and vertical height 18 cm. Work out its volume, leaving your answer in terms of pi.
- 4th December 198818 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 5th December 1988A cumulative frequency graph is drawn for 76 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 6th December 1988Write 4^-3 as a fraction.
- 7th December 1988Make x the subject of y = 4x^2 - 9.
- 8th December 1988A town's population is 19000 and grows by 6% each year. Work out the population after 5 years, to the nearest whole number.
- 9th December 1988In triangle ABC, angle A is 50°, angle B is 66° and side a is 17 cm. Use the sine rule to work out side b, to 1 decimal place.
- 10th December 19884 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 11th December 1988A box plot has a minimum of 20 and a maximum of 66. Work out the range.
- 12th December 1988Work out (4 x 10^4) x (4 x 10^-6). Give your answer in standard form.
- 13th December 1988Factorise x^2 - 4.
- 14th December 1988A block has volume 120 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 15th December 1988A 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.
- 16th December 198824 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 17th December 1988A box plot has minimum 3, lower quartile 6, median 16, upper quartile 19 and maximum 26. Work out the interquartile range.
- 18th December 1988Write the recurring decimal 0.4848... as a fraction in its simplest form.
- 19th December 1988A region is defined by y < -2x + 1. Should the boundary line be solid or dashed, and why?
- 20th December 1988x : y = 2 : 7. Write y in terms of x.
- 21st December 1988The point (-5, 4) is enlarged by scale factor -2 about the centre (3, -2). Write down the coordinates of the image.
- 22nd December 19882 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 23rd December 1988A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 24th December 1988A bill is £744 including VAT at 20%. Work out the amount before VAT.
- 25th December 1988Factorise x^2 - 10x + 16.
- 26th December 1988A price rises by 20% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 27th December 1988Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 486 cm^3. Work out the volume of the smaller.
- 28th December 198817 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 29th December 1988A histogram class is 10 units wide and contains 30 values. Work out the frequency density.
- 30th December 1988A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 31st December 1988Work out the equation of the line parallel to y = x - 9 that passes through (3, -4).