Daily Practice · Higher
October 1964 5-a-day
Printing for a group?
The batch download puts all 5 tiers' October 1964 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in October 1964
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st October 1964Write the recurring decimal 0.9797... as a fraction in its simplest form.
- 2nd October 1964Make x the subject of y = 5x^2 - 5.
- 3rd October 1964y is directly proportional to x^2. When x = 3, y = 54. Work out y when x = 5.
- 4th October 1964In triangle ABC, angle A is 32°, angle B is 69° and side a is 16 cm. Use the sine rule to work out side b, to 1 decimal place.
- 5th October 19643 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 6th October 196420 newts are marked and released. Later 64 are caught, of which 8 are marked. Estimate the population.
- 7th October 1964A bill is £480 including VAT at 20%. Work out the amount before VAT.
- 8th October 1964Factorise x^2 - 144.
- 9th October 1964y is directly proportional to x. When x = 2, y = 24. Work out y when x = 11.
- 10th October 1964A right-angled triangle has sides 6 cm, 8 cm and 10 cm. Work out the angle opposite the 6 cm side, to 1 decimal place.
- 11th October 196416 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 12th October 1964A cumulative frequency graph is drawn for 172 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 13th October 1964A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 14th October 1964A region is defined by y <= -3x + 5. Should the boundary line be solid or dashed, and why?
- 15th October 1964A town's population is 31500 and grows by 5% each year. Work out the population after 2 years, to the nearest whole number.
- 16th October 1964The point (-6, 5) is enlarged by scale factor -2 about the centre (-4, -2). Write down the coordinates of the image.
- 17th October 19642 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 18th October 1964A box plot has a minimum of 9 and a maximum of 43. Work out the range.
- 19th October 1964Work out (56 x 10^7) / (7 x 10^2). Give your answer in standard form.
- 20th October 1964Factorise x^2 - 7x - 18.
- 21st October 1964A block has volume 160 cm^3 and density 11 g/cm^3. Work out its mass.
- 22nd October 1964Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 232 cm^3. Work out the volume of the smaller.
- 23rd October 196420 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 24th October 1964A box plot has minimum 13, lower quartile 18, median 23, upper quartile 29 and maximum 36. Work out the interquartile range.
- 25th October 1964Write the recurring decimal 0.444... as a fraction in its simplest form.
- 26th October 1964Work out the equation of the line parallel to y = -5x + 1 that passes through (6, -34).
- 27th October 1964x : y = 3 : 7. Write y in terms of x.
- 28th October 1964A right-angled triangle has a hypotenuse of 10 cm and one shorter side of 8 cm. Work out the other shorter side.
- 29th October 19642 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 30th October 1964A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 31st October 1964Work out 36^(3/2).