Daily Practice · Higher
November 1966 5-a-day
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The batch download puts all 5 tiers' November 1966 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 1966
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 196610 beetles are marked and released. Later 32 are caught, of which 8 are marked. Estimate the population.
- 2nd November 1966Write sqrt(8) in the form a sqrt(b), where b is as small as possible.
- 3rd November 1966Expand and simplify (x - 5)(x + 4)(x + 2).
- 4th November 1966y is directly proportional to x. When x = 2, y = 6. Work out y when x = 3.
- 5th November 1966A cone has base radius 6 cm and vertical height 6 cm. Work out its volume, leaving your answer in terms of pi.
- 6th November 196620 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 7th November 1966A cumulative frequency graph is drawn for 188 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 8th November 1966A meal deal has 3 mains, 6 sides and 6 drinks. How many different meals are possible?
- 9th November 1966Make x the subject of y = 5x^2 - 8.
- 10th November 1966A town's population is 28500 and grows by 3% each year. Work out the population after 2 years, to the nearest whole number.
- 11th November 1966In triangle ABC, angle A is 40°, angle B is 97° and side a is 18 cm. Use the sine rule to work out side b, to 1 decimal place.
- 12th November 19665 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 13th November 1966A box plot has a minimum of 15 and a maximum of 58. Work out the range.
- 14th November 1966A mass is 30 kg, correct to the nearest whole number. Write down the lower bound.
- 15th November 1966Factorise x^2 - 16.
- 16th November 1966A block has volume 195 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 17th November 1966A right-angled triangle has sides 7 cm, 24 cm and 25 cm. Work out the angle opposite the 7 cm side, to 1 decimal place.
- 18th November 196618 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 19th November 1966A box plot has minimum 3, lower quartile 5, median 10, upper quartile 18 and maximum 20. Work out the interquartile range.
- 20th November 1966Write 2^-2 as a fraction.
- 21st November 1966A region is defined by y < 2x - 2. Should the boundary line be solid or dashed, and why?
- 22nd November 1966x : y = 4 : 9. Write y in terms of x.
- 23rd November 1966The point (0, -4) is enlarged by scale factor -1 about the centre (2, 0). Write down the coordinates of the image.
- 24th November 19663 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 25th November 1966A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 26th November 1966Work out (2 x 10^8) x (7 x 10^-2). Give your answer in standard form.
- 27th November 1966Factorise x^2 + 6x - 7.
- 28th November 1966A price rises by 15% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 29th November 1966Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 2112 cm^3. Work out the volume of the smaller.
- 30th November 196615 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.