Daily Practice · Higher
September 1968 5-a-day
Printing for a group?
The batch download puts all 5 tiers' September 1968 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in September 1968
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 1968A, B and C are points on a circle with centre O. Angle AOC is 52°. Work out angle ABC, where B is on the major arc.
- 2nd September 19682 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 3rd September 196820 newts are marked and released. Later 25 are caught, of which 5 are marked. Estimate the population.
- 4th September 1968A mass is 67 kg, correct to the nearest whole number. Write down the upper bound.
- 5th September 1968Expand and simplify (x + 4)(x - 1)(x + 1).
- 6th September 1968y is directly proportional to x. When x = 2, y = 10. Work out y when x = 15.
- 7th September 1968A cone has base radius 2 cm and vertical height 21 cm. Work out its volume, leaving your answer in terms of pi.
- 8th September 196822 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 9th September 1968A cumulative frequency graph is drawn for 232 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 10th September 1968Write 7^-1 as a fraction.
- 11th September 1968Make x the subject of y = 8x^2 - 6.
- 12th September 1968A town's population is 33000 and grows by 8% each year. Work out the population after 6 years, to the nearest whole number.
- 13th September 1968In triangle ABC, angle A is 66°, angle B is 72° and side a is 18 cm. Use the sine rule to work out side b, to 1 decimal place.
- 14th September 19682 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 15th September 1968A box plot has a minimum of 16 and a maximum of 71. Work out the range.
- 16th September 1968Work out (9 x 10^3) x (7 x 10^6). Give your answer in standard form.
- 17th September 1968Factorise x^2 - 16.
- 18th September 1968A block has volume 175 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 19th September 1968A right-angled triangle has sides 3 cm, 4 cm and 5 cm. Work out the angle opposite the 3 cm side, to 1 decimal place.
- 20th September 196815 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 21st September 1968A box plot has minimum 11, lower quartile 20, median 28, upper quartile 34 and maximum 43. Work out the interquartile range.
- 22nd September 1968Write the recurring decimal 0.6060... as a fraction in its simplest form.
- 23rd September 1968A region is defined by y <= 3x - 8. Should the boundary line be solid or dashed, and why?
- 24th September 1968x : y = 2 : 7. Write y in terms of x.
- 25th September 1968The point (6, -5) is enlarged by scale factor -1 about the centre (-2, -4). Write down the coordinates of the image.
- 26th September 19683 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 27th September 1968A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 28th September 1968A bill is £216 including VAT at 20%. Work out the amount before VAT.
- 29th September 1968Factorise x^2 + 6x + 5.
- 30th September 1968A price rises by 20% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.