Daily Practice · Higher
October 1971 5-a-day
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The batch download puts all 5 tiers' October 1971 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in October 1971
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st October 1971A mass is 54 kg, correct to the nearest whole number. Write down the upper bound.
- 2nd October 1971A region is defined by y <= 4x - 7. Should the boundary line be solid or dashed, and why?
- 3rd October 1971y is inversely proportional to x. When x = 2, y = 24. Work out y when x = 12.
- 4th October 1971The point (-3, 0) is enlarged by scale factor -1 about the centre (-4, -4). Write down the coordinates of the image.
- 5th October 19713 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 6th October 1971Four classes in order have frequencies 10, 3, 4, 6. Write down the cumulative frequency at the end of the third class.
- 7th October 1971Write 2^-2 as a fraction.
- 8th October 1971Factorise x^2 + 5x - 14.
- 9th October 1971y is directly proportional to x^2. When x = 4, y = 144. Work out y when x = 5.
- 10th October 1971Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 1984 cm^3. Work out the volume of the smaller.
- 11th October 197115 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 12th October 197155 beetles are marked and released. Later 54 are caught, of which 6 are marked. Estimate the population.
- 13th October 1971Work out (7 x 10^7) x (3 x 10^6). Give your answer in standard form.
- 14th October 1971Work out the equation of the line parallel to y = 3x + 3 that passes through (5, 22).
- 15th October 1971y is directly proportional to x. When x = 4, y = 24. Work out y when x = 6.
- 16th October 1971A right-angled triangle has a hypotenuse of 29 cm and one shorter side of 21 cm. Work out the other shorter side.
- 17th October 19713 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 18th October 1971A cumulative frequency graph is drawn for 140 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 19th October 1971Write the recurring decimal 0.2929... as a fraction in its simplest form.
- 20th October 1971A line has equation y = 4x + 4. Work out the gradient of any line perpendicular to it.
- 21st October 1971A town's population is 34000 and grows by 8% each year. Work out the population after 3 years, to the nearest whole number.
- 22nd October 1971ABCD is a cyclic quadrilateral. Angle ABC is 124°. Work out angle ADC.
- 23rd October 197116 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 24th October 1971A box plot has a minimum of 20 and a maximum of 54. Work out the range.
- 25th October 1971A bill is £408 including VAT at 20%. Work out the amount before VAT.
- 26th October 1971For the curve y = -4/x, work out y when x = 4, and write down the equation of its vertical asymptote.
- 27th October 1971A block has volume 125 cm^3 and density 8 g/cm^3. Work out its mass.
- 28th October 1971A, B and C are points on a circle with centre O. Angle AOC is 108°. Work out angle ABC, where B is on the major arc.
- 29th October 19711 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 30th October 1971A box plot has minimum 13, lower quartile 17, median 27, upper quartile 31 and maximum 41. Work out the interquartile range.
- 31st October 1971A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?