Daily Practice · Higher
May 1992 - Higher 5-a-day
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The batch download puts all 5 tiers' May 1992 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 1992
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 1992A meal deal has 6 mains, 4 sides and 6 drinks. How many different meals are possible?
- 2nd May 1992Expand and simplify (x + 3)(x + 3)(x + 3).
- 3rd May 1992y is inversely proportional to x. When x = 7, y = 25. Work out y when x = 5.
- 4th May 1992A cone has base radius 7 cm and vertical height 21 cm. Work out its volume, leaving your answer in terms of pi.
- 5th May 199215 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 6th May 1992Four classes in order have frequencies 11, 4, 10, 3. Write down the cumulative frequency at the end of the third class.
- 7th May 1992A mass is 74 kg, correct to the nearest whole number. Write down the lower bound.
- 8th May 1992Make x the subject of y = 7x^2 - 3.
- 9th May 1992y is directly proportional to x^2. When x = 4, y = 32. Work out y when x = 3.
- 10th May 1992In triangle ABC, angle A is 38°, angle B is 30° and side a is 16 cm. Use the sine rule to work out side b, to 1 decimal place.
- 11th May 19925 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 12th May 199260 beetles are marked and released. Later 32 are caught, of which 4 are marked. Estimate the population.
- 13th May 1992Write 2^-1 as a fraction.
- 14th May 1992Factorise x^2 - 64.
- 15th May 1992y is directly proportional to x. When x = 9, y = 90. Work out y when x = 7.
- 16th May 1992A right-angled triangle has sides 8 cm, 15 cm and 17 cm. Work out the angle opposite the 8 cm side, to 1 decimal place.
- 17th May 199216 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 18th May 1992A cumulative frequency graph is drawn for 180 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 19th May 1992Work out (6 x 10^6) x (4 x 10^-4). Give your answer in standard form.
- 20th May 1992A region is defined by y < -5x + 1. Should the boundary line be solid or dashed, and why?
- 21st May 1992A town's population is 25500 and grows by 5% each year. Work out the population after 5 years, to the nearest whole number.
- 22nd May 1992The point (0, 2) is enlarged by scale factor -2 about the centre (-3, 1). Write down the coordinates of the image.
- 23rd May 19923 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 24th May 1992A box plot has a minimum of 13 and a maximum of 46. Work out the range.
- 25th May 1992Write the recurring decimal 0.4545... as a fraction in its simplest form.
- 26th May 1992Factorise x^2 + 3x + 2.
- 27th May 1992A block has volume 185 cm^3 and density 11 g/cm^3. Work out its mass.
- 28th May 1992Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 1536 cm^3. Work out the volume of the smaller.
- 29th May 199227 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 30th May 1992A box plot has minimum 7, lower quartile 10, median 19, upper quartile 22 and maximum 26. Work out the interquartile range.
- 31st May 1992A bill is £336 including VAT at 20%. Work out the amount before VAT.