Daily Practice · Higher
December 1973 5-a-day
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The batch download puts all 5 tiers' December 1973 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in December 1973
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st December 1973A mass is 29 kg, correct to the nearest whole number. Write down the upper bound.
- 2nd December 1973For the curve y = -20/x, work out y when x = -5, and write down the equation of its vertical asymptote.
- 3rd December 1973A price rises by 25% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 4th December 1973A, B and C are points on a circle with centre O. Angle AOC is 158°. Work out angle ABC, where B is on the major arc.
- 5th December 19731 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 6th December 1973A histogram class is 2 units wide and contains 1 values. Work out the frequency density.
- 7th December 1973Write 4^-2 as a fraction.
- 8th December 1973Expand and simplify (x + 1)(x - 5)(x + 4).
- 9th December 1973y is inversely proportional to x. When x = 9, y = 50. Work out y when x = 10.
- 10th December 1973A cone has base radius 9 cm and vertical height 3 cm. Work out its volume, leaving your answer in terms of pi.
- 11th December 197314 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 12th December 1973Four classes in order have frequencies 11, 5, 4, 12. Write down the cumulative frequency at the end of the third class.
- 13th December 1973Work out (7 x 10^5) x (3 x 10^-6). Give your answer in standard form.
- 14th December 1973Make x the subject of y = 4x^2 - 4.
- 15th December 1973y is directly proportional to x^2. When x = 5, y = 50. Work out y when x = 9.
- 16th December 1973In triangle ABC, angle A is 61°, angle B is 82° and side a is 7 cm. Use the sine rule to work out side b, to 1 decimal place.
- 17th December 19733 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 18th December 197325 voles are marked and released. Later 30 are caught, of which 5 are marked. Estimate the population.
- 19th December 1973Write the recurring decimal 0.2121... as a fraction in its simplest form.
- 20th December 1973Factorise x^2 - 49.
- 21st December 1973y is directly proportional to x. When x = 2, y = 24. Work out y when x = 11.
- 22nd December 1973A right-angled triangle has sides 5 cm, 12 cm and 13 cm. Work out the angle opposite the 5 cm side, to 1 decimal place.
- 23rd December 197316 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 24th December 1973A cumulative frequency graph is drawn for 208 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 25th December 1973A bill is £696 including VAT at 20%. Work out the amount before VAT.
- 26th December 1973A region is defined by y < -x + 7. Should the boundary line be solid or dashed, and why?
- 27th December 1973A town's population is 33500 and grows by 3% each year. Work out the population after 4 years, to the nearest whole number.
- 28th December 1973The point (3, -3) is enlarged by scale factor -3 about the centre (-4, -2). Write down the coordinates of the image.
- 29th December 19734 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 30th December 1973A box plot has a minimum of 8 and a maximum of 51. Work out the range.
- 31st December 1973A code is 2 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?