Daily Practice · Higher
January 1991 5-a-day
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The batch download puts all 5 tiers' January 1991 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in January 1991
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st January 1991Work out (40 x 10^6) / (8 x 10^5). Give your answer in standard form.
- 2nd January 1991For the curve y = -2/x, work out y when x = -1, and write down the equation of its vertical asymptote.
- 3rd January 1991A town's population is 23000 and grows by 4% each year. Work out the population after 2 years, to the nearest whole number.
- 4th January 1991A, B and C are points on a circle with centre O. Angle AOC is 134°. Work out angle ABC, where B is on the major arc.
- 5th January 19912 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 6th January 1991A box plot has a minimum of 12 and a maximum of 46. Work out the range.
- 7th January 1991Write the recurring decimal 0.333... as a fraction in its simplest form.
- 8th January 1991Expand and simplify (x + 5)(x + 5)(x - 1).
- 9th January 1991A block has volume 55 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 10th January 1991A cone has base radius 3 cm and vertical height 21 cm. Work out its volume, leaving your answer in terms of pi.
- 11th January 199122 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 12th January 1991A box plot has minimum 2, lower quartile 9, median 16, upper quartile 22 and maximum 28. Work out the interquartile range.
- 13th January 1991Work out 25^(3/2).
- 14th January 1991Make x the subject of y = 4x^2 - 11.
- 15th January 1991x : y = 3 : 8. Write y in terms of x.
- 16th January 1991In triangle ABC, angle A is 37°, angle B is 52° and side a is 8 cm. Use the sine rule to work out side b, to 1 decimal place.
- 17th January 19913 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 18th January 1991A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 19th January 1991Write sqrt(18) in the form a sqrt(b), where b is as small as possible.
- 20th January 1991Factorise x^2 - 4.
- 21st January 1991A price rises by 20% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 22nd January 1991A 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.
- 23rd January 199110 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 24th January 1991A histogram class is 5 units wide and contains 7.5 values. Work out the frequency density.
- 25th January 1991A meal deal has 3 mains, 3 sides and 2 drinks. How many different meals are possible?
- 26th January 1991A region is defined by y <= 2x + 5. Should the boundary line be solid or dashed, and why?
- 27th January 1991y is inversely proportional to x. When x = 5, y = 30. Work out y when x = 6.
- 28th January 1991The point (-6, -4) is enlarged by scale factor -3 about the centre (-1, -1). Write down the coordinates of the image.
- 29th January 19914 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 30th January 1991Four classes in order have frequencies 12, 7, 10, 3. Write down the cumulative frequency at the end of the third class.
- 31st January 1991A mass is 90 kg, correct to the nearest 10. Write down the lower bound.