Daily Practice · Higher
November 1953 5-a-day
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The batch download puts all 5 tiers' November 1953 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 1953
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 1953A cone has base radius 10 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 2nd November 195314 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 3rd November 195345 newts are marked and released. Later 10 are caught, of which 2 are marked. Estimate the population.
- 4th November 1953A meal deal has 8 mains, 5 sides and 4 drinks. How many different meals are possible?
- 5th November 1953Make x the subject of y = 9x^2 - 9.
- 6th November 1953y is directly proportional to x. When x = 8, y = 40. Work out y when x = 3.
- 7th November 1953In triangle ABC, angle A is 36°, angle B is 64° and side a is 20 cm. Use the sine rule to work out side b, to 1 decimal place.
- 8th November 19536 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 9th November 1953A cumulative frequency graph is drawn for 52 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 10th November 1953A mass is 23 kg, correct to the nearest whole number. Write down the lower bound.
- 11th November 1953Factorise x^2 - 16.
- 12th November 1953A town's population is 3500 and grows by 8% each year. Work out the population after 5 years, to the nearest whole number.
- 13th November 1953A right-angled triangle has sides 5 cm, 12 cm and 13 cm. Work out the angle opposite the 5 cm side, to 1 decimal place.
- 14th November 195317 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 15th November 1953A box plot has a minimum of 18 and a maximum of 72. Work out the range.
- 16th November 1953Write 5^-2 as a fraction.
- 17th November 1953A region is defined by y <= -2x - 8. Should the boundary line be solid or dashed, and why?
- 18th November 1953A block has volume 10 cm^3 and density 4 g/cm^3. Work out its mass.
- 19th November 1953The point (-2, 0) is enlarged by scale factor -1 about the centre (2, 0). Write down the coordinates of the image.
- 20th November 19535 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 21st November 1953A box plot has minimum 10, lower quartile 16, median 21, upper quartile 25 and maximum 27. Work out the interquartile range.
- 22nd November 1953Work out (3 x 10^6) x (5 x 10^3). Give your answer in standard form.
- 23rd November 1953Factorise x^2 + 2x - 24.
- 24th November 1953x : y = 3 : 8. Write y in terms of x.
- 25th November 1953Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 432 cm^3. Work out the volume of the smaller.
- 26th November 195324 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 27th November 1953A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 28th November 1953Write the recurring decimal 0.9191... as a fraction in its simplest form.
- 29th November 1953Work out the equation of the line parallel to y = -3x - 8 that passes through (2, 0).
- 30th November 1953A price rises by 15% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.