Daily Practice · Higher
May 1984 5-a-day
Printing for a group?
The batch download puts all 5 tiers' May 1984 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 1984
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 1984Write the recurring decimal 0.888... as a fraction in its simplest form.
- 2nd May 1984Make x the subject of y = 5x^2 - 2.
- 3rd May 1984A town's population is 36000 and grows by 5% each year. Work out the population after 3 years, to the nearest whole number.
- 4th May 1984In triangle ABC, angle A is 80°, angle B is 42° and side a is 7 cm. Use the sine rule to work out side b, to 1 decimal place.
- 5th May 19843 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 6th May 1984A box plot has a minimum of 8 and a maximum of 24. Work out the range.
- 7th May 1984Work out 49^(3/2).
- 8th May 1984Factorise x^2 - 100.
- 9th May 1984A block has volume 200 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 10th May 1984A right-angled triangle has sides 10 cm, 24 cm and 26 cm. Work out the angle opposite the 10 cm side, to 1 decimal place.
- 11th May 198421 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 12th May 1984A box plot has minimum 3, lower quartile 10, median 13, upper quartile 23 and maximum 32. Work out the interquartile range.
- 13th May 1984Write sqrt(50) in the form a sqrt(b), where b is as small as possible.
- 14th May 1984A region is defined by y <= 3x - 4. Should the boundary line be solid or dashed, and why?
- 15th May 1984x : y = 3 : 4. Write y in terms of x.
- 16th May 1984The point (3, 5) is enlarged by scale factor -1 about the centre (1, 4). Write down the coordinates of the image.
- 17th May 19846 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 18th May 1984A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 19th May 1984A meal deal has 8 mains, 6 sides and 3 drinks. How many different meals are possible?
- 20th May 1984Factorise x^2 - 5x - 14.
- 21st May 1984A price rises by 20% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 22nd May 1984Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 576 cm^3. Work out the volume of the smaller.
- 23rd May 198423 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 24th May 1984A histogram class is 10 units wide and contains 5 values. Work out the frequency density.
- 25th May 1984A mass is 70 kg, correct to the nearest whole number. Write down the lower bound.
- 26th May 1984Work out the equation of the line parallel to y = -x + 8 that passes through (5, -4).
- 27th May 1984y is inversely proportional to x. When x = 4, y = 24. Work out y when x = 12.
- 28th May 1984A right-angled triangle has a hypotenuse of 17 cm and one shorter side of 15 cm. Work out the other shorter side.
- 29th May 19842 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 30th May 1984Four classes in order have frequencies 12, 9, 8, 11. Write down the cumulative frequency at the end of the third class.
- 31st May 1984Write 7^-1 as a fraction.