Daily Practice · Higher
October 1957 5-a-day
Printing for a group?
The batch download puts all 5 tiers' October 1957 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in October 1957
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st October 195740 fish are marked and released. Later 18 are caught, of which 3 are marked. Estimate the population.
- 2nd October 1957Work out (16 x 10^6) / (8 x 10^5). Give your answer in standard form.
- 3rd October 1957For the curve y = -22/x, work out y when x = -2, and write down the equation of its vertical asymptote.
- 4th October 1957y is directly proportional to x. When x = 4, y = 16. Work out y when x = 2.
- 5th October 1957A, B and C are points on a circle with centre O. Angle AOC is 80°. Work out angle ABC, where B is on the major arc.
- 6th October 19571 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 7th October 1957A cumulative frequency graph is drawn for 224 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 8th October 1957Write the recurring decimal 0.555... as a fraction in its simplest form.
- 9th October 1957Expand and simplify (x + 1)(x - 3)(x + 5).
- 10th October 1957A town's population is 30500 and grows by 8% each year. Work out the population after 3 years, to the nearest whole number.
- 11th October 1957A cone has base radius 3 cm and vertical height 21 cm. Work out its volume, leaving your answer in terms of pi.
- 12th October 195727 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 13th October 1957A box plot has a minimum of 20 and a maximum of 31. Work out the range.
- 14th October 1957Work out 64^(2/3).
- 15th October 1957Make x the subject of y = 2x^2 - 5.
- 16th October 1957A block has volume 40 cm^3 and density 3 g/cm^3. Work out its mass.
- 17th October 1957In triangle ABC, angle A is 41°, angle B is 58° and side a is 9 cm. Use the sine rule to work out side b, to 1 decimal place.
- 18th October 19571 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 19th October 1957A box plot has minimum 11, lower quartile 21, median 29, upper quartile 35 and maximum 38. Work out the interquartile range.
- 20th October 1957Write sqrt(12) in the form a sqrt(b), where b is as small as possible.
- 21st October 1957Factorise x^2 - 9.
- 22nd October 1957x : y = 5 : 6. Write y in terms of x.
- 23rd October 1957A 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.
- 24th October 19579 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 25th October 1957A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 26th October 1957A meal deal has 3 mains, 4 sides and 4 drinks. How many different meals are possible?
- 27th October 1957A region is defined by y <= -3x - 8. Should the boundary line be solid or dashed, and why?
- 28th October 1957A price rises by 15% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 29th October 1957The point (6, 6) is enlarged by scale factor -3 about the centre (-3, 2). Write down the coordinates of the image.
- 30th October 19571 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 31st October 1957A histogram class is 10 units wide and contains 30 values. Work out the frequency density.