Daily Practice · Higher
November 1986 5-a-day
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The batch download puts all 5 tiers' November 1986 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 1986
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 1986y is directly proportional to x^2. When x = 2, y = 12. Work out y when x = 7.
- 2nd November 1986In triangle ABC, angle A is 68°, angle B is 51° and side a is 10 cm. Use the sine rule to work out side b, to 1 decimal place.
- 3rd November 19861 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 4th November 198610 beetles are marked and released. Later 36 are caught, of which 9 are marked. Estimate the population.
- 5th November 1986Work out (49 x 10^6) / (7 x 10^4). Give your answer in standard form.
- 6th November 1986Factorise x^2 - 16.
- 7th November 1986y is directly proportional to x. When x = 2, y = 24. Work out y when x = 8.
- 8th November 1986A right-angled triangle has sides 20 cm, 21 cm and 29 cm. Work out the angle opposite the 20 cm side, to 1 decimal place.
- 9th November 198615 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 10th November 1986A cumulative frequency graph is drawn for 76 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 11th November 1986Write the recurring decimal 0.777... as a fraction in its simplest form.
- 12th November 1986A region is defined by y <= -5x + 1. Should the boundary line be solid or dashed, and why?
- 13th November 1986A town's population is 23000 and grows by 3% each year. Work out the population after 4 years, to the nearest whole number.
- 14th November 1986The point (-6, 2) is enlarged by scale factor -3 about the centre (2, -2). Write down the coordinates of the image.
- 15th November 19863 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 16th November 1986A box plot has a minimum of 14 and a maximum of 33. Work out the range.
- 17th November 1986Work out 16^(3/2).
- 18th November 1986Factorise x^2 - 3x - 54.
- 19th November 1986A block has volume 40 cm^3 and density 11 g/cm^3. Work out its mass.
- 20th November 1986Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 540 cm^3. Work out the volume of the smaller.
- 21st November 198617 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 1986A box plot has minimum 9, lower quartile 14, median 22, upper quartile 32 and maximum 36. Work out the interquartile range.
- 23rd November 1986Write sqrt(98) in the form a sqrt(b), where b is as small as possible.
- 24th November 1986Work out the equation of the line parallel to y = -5x - 5 that passes through (4, -9).
- 25th November 1986x : y = 5 : 9. Write y in terms of x.
- 26th November 1986A right-angled triangle has a hypotenuse of 41 cm and one shorter side of 40 cm. Work out the other shorter side.
- 27th November 19864 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 28th November 1986A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 29th November 1986A meal deal has 8 mains, 7 sides and 3 drinks. How many different meals are possible?
- 30th November 1986A line has equation y = 4x + 3. Work out the gradient of any line perpendicular to it.