Daily Practice · Higher
January 1982 5-a-day
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The batch download puts all 5 tiers' January 1982 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in January 1982
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st January 1982A region is defined by y <= -x - 9. Should the boundary line be solid or dashed, and why?
- 2nd January 1982y is directly proportional to x^2. When x = 4, y = 32. Work out y when x = 7.
- 3rd January 1982The point (-1, -3) is enlarged by scale factor -1 about the centre (0, -2). Write down the coordinates of the image.
- 4th January 19825 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 5th January 198240 fish are marked and released. Later 56 are caught, of which 7 are marked. Estimate the population.
- 6th January 1982Write sqrt(32) in the form a sqrt(b), where b is as small as possible.
- 7th January 1982Factorise x^2 + 14x + 45.
- 8th January 1982y is directly proportional to x. When x = 7, y = 56. Work out y when x = 3.
- 9th January 1982Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 810 cm^3. Work out the volume of the smaller.
- 10th January 198222 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 11th January 1982A cumulative frequency graph is drawn for 164 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 12th January 1982A meal deal has 8 mains, 3 sides and 4 drinks. How many different meals are possible?
- 13th January 1982Work out the equation of the line parallel to y = -3x - 2 that passes through (2, 6).
- 14th January 1982A town's population is 15500 and grows by 3% each year. Work out the population after 6 years, to the nearest whole number.
- 15th January 1982A right-angled triangle has a hypotenuse of 29 cm and one shorter side of 20 cm. Work out the other shorter side.
- 16th January 19827 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 17th January 1982A box plot has a minimum of 16 and a maximum of 59. Work out the range.
- 18th January 1982A mass is 330 kg, correct to the nearest 10. Write down the upper bound.
- 19th January 1982A line has equation y = 3x + 8. Work out the gradient of any line perpendicular to it.
- 20th January 1982A block has volume 100 cm^3 and density 8 g/cm^3. Work out its mass.
- 21st January 1982ABCD is a cyclic quadrilateral. Angle ABC is 98°. Work out angle ADC.
- 22nd January 198218 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 23rd January 1982A box plot has minimum 12, lower quartile 15, median 23, upper quartile 31 and maximum 34. Work out the interquartile range.
- 24th January 1982Write 2^-2 as a fraction.
- 25th January 1982For the curve y = 15/x, work out y when x = -5, and write down the equation of its vertical asymptote.
- 26th January 1982x : y = 5 : 8. Write y in terms of x.
- 27th January 1982A, B and C are points on a circle with centre O. Angle AOC is 126°. Work out angle ABC, where B is on the major arc.
- 28th January 19825 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 29th January 1982A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 30th January 1982Work out (2 x 10^4) x (6 x 10^6). Give your answer in standard form.
- 31st January 1982Expand and simplify (x + 1)(x - 1)(x + 3).