Daily Practice · Higher
November 1981 5-a-day
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The batch download puts all 5 tiers' November 1981 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 1981
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 1981Write sqrt(32) in the form a sqrt(b), where b is as small as possible.
- 2nd November 1981Make x the subject of y = 5x^2 - 9.
- 3rd November 1981x : y = 5 : 7. Write y in terms of x.
- 4th November 1981In triangle ABC, angle A is 57°, angle B is 39° and side a is 6 cm. Use the sine rule to work out side b, to 1 decimal place.
- 5th November 19812 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 6th November 1981A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 7th November 1981A meal deal has 9 mains, 9 sides and 3 drinks. How many different meals are possible?
- 8th November 1981Factorise x^2 - 4.
- 9th November 1981A price rises by 20% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 10th November 1981A right-angled triangle has sides 10 cm, 24 cm and 26 cm. Work out the angle opposite the 10 cm side, to 1 decimal place.
- 11th November 198123 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 12th November 1981A histogram class is 2 units wide and contains 8 values. Work out the frequency density.
- 13th November 1981A mass is 11.3 kg, correct to 1 decimal place. Write down the lower bound.
- 14th November 1981A region is defined by y <= 2x + 7. Should the boundary line be solid or dashed, and why?
- 15th November 1981y is inversely proportional to x. When x = 5, y = 12. Work out y when x = 12.
- 16th November 1981The point (5, 4) is enlarged by scale factor -2 about the centre (0, 4). Write down the coordinates of the image.
- 17th November 19811 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 18th November 1981Four classes in order have frequencies 9, 4, 12, 11. Write down the cumulative frequency at the end of the third class.
- 19th November 1981Write 2^-3 as a fraction.
- 20th November 1981Factorise x^2 + 7x + 12.
- 21st November 1981y is directly proportional to x^2. When x = 2, y = 32. Work out y when x = 4.
- 22nd November 1981Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 1024 cm^3. Work out the volume of the smaller.
- 23rd November 198123 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 24th November 198150 fish are marked and released. Later 60 are caught, of which 6 are marked. Estimate the population.
- 25th November 1981Work out (9 x 10^5) x (2 x 10^4). Give your answer in standard form.
- 26th November 1981Work out the equation of the line parallel to y = -4x + 3 that passes through (5, -28).
- 27th November 1981y is directly proportional to x. When x = 4, y = 40. Work out y when x = 2.
- 28th November 1981A right-angled triangle has a hypotenuse of 29 cm and one shorter side of 21 cm. Work out the other shorter side.
- 29th November 19814 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 30th November 1981A cumulative frequency graph is drawn for 144 values. What cumulative frequency do you read across from to estimate the lower quartile?