Daily Practice · Higher
November 1974 5-a-day
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The batch download puts all 5 tiers' November 1974 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 1974
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 1974A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 2nd November 1974Write 8^-1 as a fraction.
- 3rd November 1974For the curve y = -10/x, work out y when x = 2, and write down the equation of its vertical asymptote.
- 4th November 1974A price rises by 10% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 5th November 1974A, B and C are points on a circle with centre O. Angle AOC is 148°. Work out angle ABC, where B is on the major arc.
- 6th November 19744 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 7th November 1974A histogram class is 10 units wide and contains 5 values. Work out the frequency density.
- 8th November 1974Work out (2 x 10^8) x (3 x 10^-3). Give your answer in standard form.
- 9th November 1974Expand and simplify (x - 5)(x - 5)(x + 4).
- 10th November 1974y is inversely proportional to x. When x = 4, y = 30. Work out y when x = 10.
- 11th November 1974A cone has base radius 3 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 12th November 197411 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 13th November 1974Four classes in order have frequencies 11, 10, 9, 10. Write down the cumulative frequency at the end of the third class.
- 14th November 1974Write the recurring decimal 0.4444... as a fraction in its simplest form.
- 15th November 1974Make x the subject of y = 9x^2 - 7.
- 16th November 1974y is directly proportional to x^2. When x = 2, y = 28. Work out y when x = 9.
- 17th November 1974In triangle ABC, angle A is 65°, angle B is 39° and side a is 17 cm. Use the sine rule to work out side b, to 1 decimal place.
- 18th November 19745 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 19th November 197445 newts are marked and released. Later 35 are caught, of which 5 are marked. Estimate the population.
- 20th November 1974A bill is £576 including VAT at 20%. Work out the amount before VAT.
- 21st November 1974Factorise x^2 - 100.
- 22nd November 1974y is directly proportional to x. When x = 5, y = 60. Work out y when x = 15.
- 23rd November 1974A right-angled triangle has sides 12 cm, 16 cm and 20 cm. Work out the angle opposite the 12 cm side, to 1 decimal place.
- 24th November 197416 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 25th November 1974A cumulative frequency graph is drawn for 204 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 26th November 1974A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 27th November 1974A region is defined by y <= -4x - 6. Should the boundary line be solid or dashed, and why?
- 28th November 1974A town's population is 37500 and grows by 5% each year. Work out the population after 2 years, to the nearest whole number.
- 29th November 1974The point (-5, -1) is enlarged by scale factor -1 about the centre (3, 4). Write down the coordinates of the image.
- 30th November 19744 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.