Daily Practice · Higher
January 1973 5-a-day
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The batch download puts all 5 tiers' January 1973 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in January 1973
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st January 1973A price rises by 25% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 2nd January 1973A, B and C are points on a circle with centre O. Angle AOC is 58°. Work out angle ABC, where B is on the major arc.
- 3rd January 19734 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 4th January 1973A histogram class is 5 units wide and contains 12.5 values. Work out the frequency density.
- 5th January 1973A mass is 80 kg, correct to the nearest whole number. Write down the upper bound.
- 6th January 1973Expand and simplify (x - 2)(x + 5)(x - 5).
- 7th January 1973y is inversely proportional to x. When x = 5, y = 16. Work out y when x = 4.
- 8th January 1973A cone has base radius 7 cm and vertical height 12 cm. Work out its volume, leaving your answer in terms of pi.
- 9th January 197315 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 10th January 1973Four classes in order have frequencies 6, 6, 5, 11. Write down the cumulative frequency at the end of the third class.
- 11th January 1973Write 6^-3 as a fraction.
- 12th January 1973Make x the subject of y = 7x^2 - 7.
- 13th January 1973y is directly proportional to x^2. When x = 3, y = 54. Work out y when x = 6.
- 14th January 1973In triangle ABC, angle A is 56°, angle B is 72° and side a is 14 cm. Use the sine rule to work out side b, to 1 decimal place.
- 15th January 19736 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 16th January 197330 voles are marked and released. Later 40 are caught, of which 8 are marked. Estimate the population.
- 17th January 1973Work out (4 x 10^4) x (8 x 10^5). Give your answer in standard form.
- 18th January 1973Factorise x^2 - 81.
- 19th January 1973y is directly proportional to x. When x = 4, y = 28. Work out y when x = 15.
- 20th January 1973A right-angled triangle has sides 7 cm, 24 cm and 25 cm. Work out the angle opposite the 7 cm side, to 1 decimal place.
- 21st January 197313 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 22nd January 1973A cumulative frequency graph is drawn for 148 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 23rd January 1973Write the recurring decimal 0.7878... as a fraction in its simplest form.
- 24th January 1973A region is defined by y < -2x - 8. Should the boundary line be solid or dashed, and why?
- 25th January 1973A town's population is 33000 and grows by 3% each year. Work out the population after 2 years, to the nearest whole number.
- 26th January 1973The point (1, 3) is enlarged by scale factor -1 about the centre (3, -1). Write down the coordinates of the image.
- 27th January 19736 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 28th January 1973A box plot has a minimum of 6 and a maximum of 28. Work out the range.
- 29th January 1973A bill is £168 including VAT at 20%. Work out the amount before VAT.
- 30th January 1973Factorise x^2 - 11x + 24.
- 31st January 1973A block has volume 10 cm^3 and density 2.5 g/cm^3. Work out its mass.