Daily Practice · Higher
January 1968 5-a-day
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The batch download puts all 5 tiers' January 1968 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in January 1968
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st January 1968A cumulative frequency graph is drawn for 144 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 2nd January 1968Write the recurring decimal 0.3737... as a fraction in its simplest form.
- 3rd January 1968For the curve y = -35/x, work out y when x = 5, and write down the equation of its vertical asymptote.
- 4th January 1968A town's population is 15000 and grows by 5% each year. Work out the population after 6 years, to the nearest whole number.
- 5th January 1968A, B and C are points on a circle with centre O. Angle AOC is 116°. Work out angle ABC, where B is on the major arc.
- 6th January 19683 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 7th January 1968A box plot has a minimum of 11 and a maximum of 25. Work out the range.
- 8th January 1968A bill is £840 including VAT at 20%. Work out the amount before VAT.
- 9th January 1968Expand and simplify (x - 4)(x + 2)(x - 5).
- 10th January 1968A block has volume 65 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 11th January 1968A cone has base radius 5 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 12th January 196819 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 13th January 1968A box plot has minimum 15, lower quartile 25, median 30, upper quartile 33 and maximum 41. Work out the interquartile range.
- 14th January 1968A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 15th January 1968Make x the subject of y = 9x^2 - 5.
- 16th January 1968x : y = 4 : 9. Write y in terms of x.
- 17th January 1968In triangle ABC, angle A is 79°, angle B is 70° and side a is 9 cm. Use the sine rule to work out side b, to 1 decimal place.
- 18th January 19682 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 19th January 1968A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 20th January 1968Work out (36 x 10^6) / (4 x 10^4). Give your answer in standard form.
- 21st January 1968Factorise x^2 - 4.
- 22nd January 1968A price rises by 10% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 23rd January 1968A right-angled triangle has sides 9 cm, 40 cm and 41 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
- 24th January 196823 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 25th January 1968A histogram class is 2 units wide and contains 4 values. Work out the frequency density.
- 26th January 1968Write the recurring decimal 0.888... as a fraction in its simplest form.
- 27th January 1968A region is defined by y <= -3x - 8. Should the boundary line be solid or dashed, and why?
- 28th January 1968y is inversely proportional to x. When x = 5, y = 20. Work out y when x = 10.
- 29th January 1968The point (6, -6) is enlarged by scale factor -2 about the centre (1, -3). Write down the coordinates of the image.
- 30th January 19684 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 31st January 1968Four classes in order have frequencies 12, 6, 8, 9. Write down the cumulative frequency at the end of the third class.