Daily Practice · Higher
October 1962 5-a-day
Printing for a group?
The batch download puts all 5 tiers' October 1962 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in October 1962
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st October 1962For the curve y = 16/x, work out y when x = -2, and write down the equation of its vertical asymptote.
- 2nd October 1962x : y = 3 : 8. Write y in terms of x.
- 3rd October 1962A, B and C are points on a circle with centre O. Angle AOC is 86°. Work out angle ABC, where B is on the major arc.
- 4th October 19621 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 5th October 1962A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 6th October 1962Write the recurring decimal 0.3838... as a fraction in its simplest form.
- 7th October 1962Expand and simplify (x + 5)(x - 3)(x + 4).
- 8th October 1962A price rises by 20% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 9th October 1962A cone has base radius 9 cm and vertical height 6 cm. Work out its volume, leaving your answer in terms of pi.
- 10th October 196216 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 11th October 1962A histogram class is 2 units wide and contains 6 values. Work out the frequency density.
- 12th October 1962A bill is £648 including VAT at 20%. Work out the amount before VAT.
- 13th October 1962Make x the subject of y = 7x^2 - 2.
- 14th October 1962y is inversely proportional to x. When x = 5, y = 24. Work out y when x = 6.
- 15th October 1962In triangle ABC, angle A is 64°, angle B is 45° and side a is 16 cm. Use the sine rule to work out side b, to 1 decimal place.
- 16th October 19621 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 17th October 1962Four classes in order have frequencies 12, 6, 11, 11. Write down the cumulative frequency at the end of the third class.
- 18th October 1962A code is 2 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 19th October 1962Factorise x^2 - 121.
- 20th October 1962y is directly proportional to x^2. When x = 4, y = 128. Work out y when x = 8.
- 21st October 1962A 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.
- 22nd October 196220 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 23rd October 196225 beetles are marked and released. Later 33 are caught, of which 3 are marked. Estimate the population.
- 24th October 1962Work out (30 x 10^8) / (5 x 10^5). Give your answer in standard form.
- 25th October 1962A region is defined by y <= 5x + 6. Should the boundary line be solid or dashed, and why?
- 26th October 1962y is directly proportional to x. When x = 7, y = 14. Work out y when x = 13.
- 27th October 1962The point (-6, 0) is enlarged by scale factor -1 about the centre (-4, -4). Write down the coordinates of the image.
- 28th October 19624 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 29th October 1962A cumulative frequency graph is drawn for 156 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 30th October 1962Write the recurring decimal 0.222... as a fraction in its simplest form.
- 31st October 1962Factorise x^2 + 3x - 28.