Daily Practice · Higher
November 1970 5-a-day
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The batch download puts all 5 tiers' November 1970 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 1970
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 1970y is inversely proportional to x. When x = 9, y = 6. Work out y when x = 2.
- 2nd November 1970The point (2, 6) is enlarged by scale factor -2 about the centre (0, 3). Write down the coordinates of the image.
- 3rd November 19704 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 4th November 1970Four classes in order have frequencies 8, 4, 9, 6. Write down the cumulative frequency at the end of the third class.
- 5th November 1970A mass is 530 kg, correct to the nearest 10. Write down the upper bound.
- 6th November 1970Factorise x^2 + 3x - 28.
- 7th November 1970y is directly proportional to x^2. When x = 4, y = 144. Work out y when x = 6.
- 8th November 1970Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 270 cm^3. Work out the volume of the smaller.
- 9th November 197028 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 10th November 197030 voles are marked and released. Later 50 are caught, of which 5 are marked. Estimate the population.
- 11th November 1970Write 7^-2 as a fraction.
- 12th November 1970Work out the equation of the line parallel to y = -2x + 2 that passes through (4, 1).
- 13th November 1970y is directly proportional to x. When x = 7, y = 84. Work out y when x = 8.
- 14th November 1970A right-angled triangle has a hypotenuse of 13 cm and one shorter side of 5 cm. Work out the other shorter side.
- 15th November 19707 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 16th November 1970A cumulative frequency graph is drawn for 232 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 17th November 1970Work out (9 x 10^3) x (6 x 10^-3). Give your answer in standard form.
- 18th November 1970A line has equation y = -4x + 2. Work out the gradient of any line perpendicular to it.
- 19th November 1970A town's population is 12000 and grows by 6% each year. Work out the population after 2 years, to the nearest whole number.
- 20th November 1970ABCD is a cyclic quadrilateral. Angle ABC is 85°. Work out angle ADC.
- 21st November 197022 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 22nd November 1970A box plot has a minimum of 4 and a maximum of 41. Work out the range.
- 23rd November 1970Write the recurring decimal 0.2828... as a fraction in its simplest form.
- 24th November 1970For the curve y = -2/x, work out y when x = -2, and write down the equation of its vertical asymptote.
- 25th November 1970A block has volume 105 cm^3 and density 3 g/cm^3. Work out its mass.
- 26th November 1970A, B and C are points on a circle with centre O. Angle AOC is 62°. Work out angle ABC, where B is on the major arc.
- 27th November 19703 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 28th November 1970A box plot has minimum 10, lower quartile 16, median 26, upper quartile 30 and maximum 34. Work out the interquartile range.
- 29th November 1970A bill is £264 including VAT at 20%. Work out the amount before VAT.
- 30th November 1970Expand and simplify (x + 3)(x - 4)(x + 3).