Daily Practice · Higher
November 1984 5-a-day
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The batch download puts all 5 tiers' November 1984 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 1984
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 19847 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 2nd November 1984A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 3rd November 1984A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 4th November 1984Expand and simplify (x - 5)(x + 3)(x + 4).
- 5th November 1984A price rises by 20% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 6th November 1984A cone has base radius 7 cm and vertical height 18 cm. Work out its volume, leaving your answer in terms of pi.
- 7th November 198418 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 8th November 1984A histogram class is 2 units wide and contains 5 values. Work out the frequency density.
- 9th November 1984Work out (21 x 10^6) / (7 x 10^5). Give your answer in standard form.
- 10th November 1984Make x the subject of y = 9x^2 - 6.
- 11th November 1984y is inversely proportional to x. When x = 4, y = 25. Work out y when x = 5.
- 12th November 1984In triangle ABC, angle A is 80°, angle B is 49° and side a is 14 cm. Use the sine rule to work out side b, to 1 decimal place.
- 13th November 19841 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 14th November 1984Four classes in order have frequencies 7, 3, 10, 9. Write down the cumulative frequency at the end of the third class.
- 15th November 1984Write the recurring decimal 0.111... as a fraction in its simplest form.
- 16th November 1984Factorise x^2 - 49.
- 17th November 1984y is directly proportional to x^2. When x = 3, y = 18. Work out y when x = 8.
- 18th November 1984A right-angled triangle has sides 3 cm, 4 cm and 5 cm. Work out the angle opposite the 3 cm side, to 1 decimal place.
- 19th November 198412 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 20th November 198455 beetles are marked and released. Later 27 are caught, of which 9 are marked. Estimate the population.
- 21st November 1984Work out 27^(2/3).
- 22nd November 1984A region is defined by y <= -x + 9. Should the boundary line be solid or dashed, and why?
- 23rd November 1984y is directly proportional to x. When x = 4, y = 20. Work out y when x = 5.
- 24th November 1984The point (-5, 4) is enlarged by scale factor -3 about the centre (3, 0). Write down the coordinates of the image.
- 25th November 19846 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 26th November 1984A cumulative frequency graph is drawn for 52 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 27th November 1984Write sqrt(45) in the form a sqrt(b), where b is as small as possible.
- 28th November 1984Factorise x^2 - 4x + 3.
- 29th November 1984A town's population is 19000 and grows by 4% each year. Work out the population after 3 years, to the nearest whole number.
- 30th November 1984Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 243 cm^3. Work out the volume of the smaller.