Daily Practice · Higher
May 1964 5-a-day
Printing for a group?
The batch download puts all 5 tiers' May 1964 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 1964
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 1964A, B and C are points on a circle with centre O. Angle AOC is 42°. Work out angle ABC, where B is on the major arc.
- 2nd May 19642 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 3rd May 1964A box plot has a minimum of 20 and a maximum of 39. Work out the range.
- 4th May 1964A mass is 8.6 kg, correct to 1 decimal place. Write down the lower bound.
- 5th May 1964Expand and simplify (x - 4)(x - 5)(x + 4).
- 6th May 1964A block has volume 190 cm^3 and density 4 g/cm^3. Work out its mass.
- 7th May 1964A cone has base radius 6 cm and vertical height 9 cm. Work out its volume, leaving your answer in terms of pi.
- 8th May 196414 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 9th May 1964A box plot has minimum 1, lower quartile 11, median 14, upper quartile 16 and maximum 26. Work out the interquartile range.
- 10th May 1964Write 8^-1 as a fraction.
- 11th May 1964Make x the subject of y = 5x^2 - 8.
- 12th May 1964x : y = 5 : 8. Write y in terms of x.
- 13th May 1964In triangle ABC, angle A is 37°, angle B is 103° and side a is 18 cm. Use the sine rule to work out side b, to 1 decimal place.
- 14th May 19641 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 15th May 1964A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 16th May 1964Work out (9 x 10^7) x (5 x 10^6). Give your answer in standard form.
- 17th May 1964Factorise x^2 - 25.
- 18th May 1964A price rises by 10% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 19th May 1964A 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.
- 20th May 19649 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 21st May 1964A histogram class is 5 units wide and contains 15 values. Work out the frequency density.
- 22nd May 1964Write the recurring decimal 0.6060... as a fraction in its simplest form.
- 23rd May 1964A region is defined by y < 5x + 8. Should the boundary line be solid or dashed, and why?
- 24th May 1964y is inversely proportional to x. When x = 2, y = 24. Work out y when x = 12.
- 25th May 1964The point (3, 3) is enlarged by scale factor -2 about the centre (4, -3). Write down the coordinates of the image.
- 26th May 19643 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 27th May 1964Four classes in order have frequencies 9, 6, 3, 10. Write down the cumulative frequency at the end of the third class.
- 28th May 1964A bill is £408 including VAT at 20%. Work out the amount before VAT.
- 29th May 1964Factorise x^2 - 9.
- 30th May 1964y is directly proportional to x^2. When x = 3, y = 18. Work out y when x = 8.
- 31st May 1964Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 1053 cm^3. Work out the volume of the smaller.