Daily Practice · Higher
May 1979 5-a-day
Printing for a group?
The batch download puts all 5 tiers' May 1979 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 1979
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 1979A cone has base radius 4 cm and vertical height 21 cm. Work out its volume, leaving your answer in terms of pi.
- 2nd May 197916 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 3rd May 1979A histogram class is 4 units wide and contains 16 values. Work out the frequency density.
- 4th May 1979A mass is 15.9 kg, correct to 1 decimal place. Write down the lower bound.
- 5th May 1979Make x the subject of y = 2x^2 - 12.
- 6th May 1979y is inversely proportional to x. When x = 7, y = 24. Work out y when x = 12.
- 7th May 1979In triangle ABC, angle A is 58°, angle B is 57° and side a is 8 cm. Use the sine rule to work out side b, to 1 decimal place.
- 8th May 19792 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 9th May 1979Four classes in order have frequencies 9, 6, 5, 6. Write down the cumulative frequency at the end of the third class.
- 10th May 1979Write 2^-1 as a fraction.
- 11th May 1979Factorise x^2 - 64.
- 12th May 1979y is directly proportional to x^2. When x = 4, y = 32. Work out y when x = 3.
- 13th May 1979A right-angled triangle has sides 9 cm, 12 cm and 15 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
- 14th May 19798 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 15th May 197960 voles are marked and released. Later 40 are caught, of which 8 are marked. Estimate the population.
- 16th May 1979Work out (4 x 10^4) x (8 x 10^-5). Give your answer in standard form.
- 17th May 1979A region is defined by y < 4x + 8. Should the boundary line be solid or dashed, and why?
- 18th May 1979y is directly proportional to x. When x = 2, y = 24. Work out y when x = 6.
- 19th May 1979The point (-4, 0) is enlarged by scale factor -3 about the centre (-1, 1). Write down the coordinates of the image.
- 20th May 19793 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 21st May 1979A cumulative frequency graph is drawn for 140 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 22nd May 1979Write the recurring decimal 0.1616... as a fraction in its simplest form.
- 23rd May 1979Factorise x^2 + 7x - 18.
- 24th May 1979A town's population is 14000 and grows by 6% each year. Work out the population after 4 years, to the nearest whole number.
- 25th May 1979Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 459 cm^3. Work out the volume of the smaller.
- 26th May 197916 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 27th May 1979A box plot has a minimum of 18 and a maximum of 60. Work out the range.
- 28th May 1979A bill is £336 including VAT at 20%. Work out the amount before VAT.
- 29th May 1979Work out the equation of the line parallel to y = -5x + 2 that passes through (5, -36).
- 30th May 1979A block has volume 60 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 31st May 1979A right-angled triangle has a hypotenuse of 10 cm and one shorter side of 6 cm. Work out the other shorter side.