Daily Practice · Higher
October 1972 5-a-day
Printing for a group?
The batch download puts all 5 tiers' October 1972 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in October 1972
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st October 1972Work out (40 x 10^10) / (5 x 10^4). Give your answer in standard form.
- 2nd October 1972Expand and simplify (x + 4)(x + 2)(x + 3).
- 3rd October 1972x : y = 2 : 7. Write y in terms of x.
- 4th October 1972A cone has base radius 4 cm and vertical height 3 cm. Work out its volume, leaving your answer in terms of pi.
- 5th October 197226 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 6th October 1972A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 7th October 1972Write the recurring decimal 0.111... as a fraction in its simplest form.
- 8th October 1972Make x the subject of y = 4x^2 - 7.
- 9th October 1972A price rises by 15% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 10th October 1972In triangle ABC, angle A is 58°, angle B is 42° and side a is 17 cm. Use the sine rule to work out side b, to 1 decimal place.
- 11th October 19721 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 12th October 1972A histogram class is 5 units wide and contains 12.5 values. Work out the frequency density.
- 13th October 1972Work out 8^(2/3).
- 14th October 1972Factorise x^2 - 64.
- 15th October 1972y is inversely proportional to x. When x = 3, y = 4. Work out y when x = 4.
- 16th October 1972A 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.
- 17th October 197225 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 18th October 1972Four classes in order have frequencies 6, 3, 10, 9. Write down the cumulative frequency at the end of the third class.
- 19th October 1972Write sqrt(12) in the form a sqrt(b), where b is as small as possible.
- 20th October 1972A region is defined by y < -5x + 1. Should the boundary line be solid or dashed, and why?
- 21st October 1972y is directly proportional to x^2. When x = 2, y = 28. Work out y when x = 5.
- 22nd October 1972The point (1, -6) is enlarged by scale factor -3 about the centre (1, 4). Write down the coordinates of the image.
- 23rd October 19725 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 24th October 197235 beetles are marked and released. Later 66 are caught, of which 6 are marked. Estimate the population.
- 25th October 1972A meal deal has 9 mains, 9 sides and 4 drinks. How many different meals are possible?
- 26th October 1972Factorise x^2 + 7x + 10.
- 27th October 1972y is directly proportional to x. When x = 8, y = 64. Work out y when x = 7.
- 28th October 1972Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 1080 cm^3. Work out the volume of the smaller.
- 29th October 197214 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 30th October 1972A cumulative frequency graph is drawn for 84 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 31st October 1972A mass is 46 kg, correct to the nearest whole number. Write down the lower bound.