Daily Practice · Higher
October 1967 5-a-day
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The batch download puts all 5 tiers' October 1967 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in October 1967
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st October 1967A, B and C are points on a circle with centre O. Angle AOC is 42°. Work out angle ABC, where B is on the major arc.
- 2nd October 19673 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 3rd October 196730 fish are marked and released. Later 24 are caught, of which 3 are marked. Estimate the population.
- 4th October 1967A meal deal has 3 mains, 4 sides and 4 drinks. How many different meals are possible?
- 5th October 1967Expand and simplify (x - 3)(x + 1)(x - 4).
- 6th October 1967y is directly proportional to x. When x = 3, y = 30. Work out y when x = 12.
- 7th October 1967A cone has base radius 8 cm and vertical height 6 cm. Work out its volume, leaving your answer in terms of pi.
- 8th October 196718 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 9th October 1967A cumulative frequency graph is drawn for 132 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 10th October 1967A mass is 5.9 kg, correct to 1 decimal place. Write down the lower bound.
- 11th October 1967Make x the subject of y = 9x^2 - 8.
- 12th October 1967A town's population is 37500 and grows by 4% each year. Work out the population after 3 years, to the nearest whole number.
- 13th October 1967In triangle ABC, angle A is 69°, angle B is 35° and side a is 17 cm. Use the sine rule to work out side b, to 1 decimal place.
- 14th October 19673 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 15th October 1967A box plot has a minimum of 7 and a maximum of 53. Work out the range.
- 16th October 1967Write 7^-3 as a fraction.
- 17th October 1967Factorise x^2 - 49.
- 18th October 1967A block has volume 20 cm^3 and density 8 g/cm^3. Work out its mass.
- 19th October 1967A right-angled triangle has sides 12 cm, 16 cm and 20 cm. Work out the angle opposite the 12 cm side, to 1 decimal place.
- 20th October 196713 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 21st October 1967A box plot has minimum 14, lower quartile 19, median 27, upper quartile 32 and maximum 37. Work out the interquartile range.
- 22nd October 1967Work out (9 x 10^6) x (5 x 10^3). Give your answer in standard form.
- 23rd October 1967A region is defined by y <= 4x - 3. Should the boundary line be solid or dashed, and why?
- 24th October 1967x : y = 3 : 7. Write y in terms of x.
- 25th October 1967The point (-6, -1) is enlarged by scale factor -1 about the centre (-1, -1). Write down the coordinates of the image.
- 26th October 19677 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 27th October 1967A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 28th October 1967Write the recurring decimal 0.8787... as a fraction in its simplest form.
- 29th October 1967Factorise x^2 + 10x + 9.
- 30th October 1967A price rises by 15% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 31st October 1967Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 144 cm^3. Work out the volume of the smaller.