Daily Practice · Higher
October 1977 5-a-day
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The batch download puts all 5 tiers' October 1977 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in October 1977
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st October 1977y is directly proportional to x^2. When x = 2, y = 28. Work out y when x = 8.
- 2nd October 1977A cone has base radius 2 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 3rd October 197728 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 4th October 197730 newts are marked and released. Later 42 are caught, of which 6 are marked. Estimate the population.
- 5th October 1977Write the recurring decimal 0.2828... as a fraction in its simplest form.
- 6th October 1977Make x the subject of y = 6x^2 - 12.
- 7th October 1977y is directly proportional to x. When x = 7, y = 63. Work out y when x = 2.
- 8th October 1977In triangle ABC, angle A is 65°, angle B is 57° and side a is 7 cm. Use the sine rule to work out side b, to 1 decimal place.
- 9th October 19774 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 10th October 1977A cumulative frequency graph is drawn for 56 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 11th October 1977A bill is £48 including VAT at 20%. Work out the amount before VAT.
- 12th October 1977Factorise x^2 - 64.
- 13th October 1977A town's population is 32000 and grows by 5% each year. Work out the population after 2 years, to the nearest whole number.
- 14th October 1977A right-angled triangle has sides 10 cm, 24 cm and 26 cm. Work out the angle opposite the 10 cm side, to 1 decimal place.
- 15th October 197714 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 16th October 1977A box plot has a minimum of 3 and a maximum of 37. Work out the range.
- 17th October 1977A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 18th October 1977A region is defined by y < -4x - 4. Should the boundary line be solid or dashed, and why?
- 19th October 1977A block has volume 35 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 20th October 1977The point (-1, -2) is enlarged by scale factor -1 about the centre (2, 3). Write down the coordinates of the image.
- 21st October 19774 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 22nd October 1977A box plot has minimum 3, lower quartile 13, median 15, upper quartile 18 and maximum 22. Work out the interquartile range.
- 23rd October 1977Work out (54 x 10^10) / (6 x 10^2). Give your answer in standard form.
- 24th October 1977Factorise x^2 - 8x - 9.
- 25th October 1977x : y = 2 : 3. Write y in terms of x.
- 26th October 1977Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 192 cm^3. Work out the volume of the smaller.
- 27th October 197721 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 28th October 1977A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 29th October 1977Write the recurring decimal 0.222... as a fraction in its simplest form.
- 30th October 1977Work out the equation of the line parallel to y = -2x + 9 that passes through (6, -13).
- 31st October 1977A price rises by 10% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.