Daily Practice · Higher
November 1971 5-a-day
Printing for a group?
The batch download puts all 5 tiers' November 1971 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 1971
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 1971Expand and simplify (x - 1)(x + 2)(x - 1).
- 2nd November 1971x : y = 4 : 9. Write y in terms of x.
- 3rd November 1971A cone has base radius 8 cm and vertical height 9 cm. Work out its volume, leaving your answer in terms of pi.
- 4th November 197123 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 5th November 1971A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 6th November 1971Work out (36 x 10^6) / (9 x 10^2). Give your answer in standard form.
- 7th November 1971Make x the subject of y = 8x^2 - 7.
- 8th November 1971A price rises by 15% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 9th November 1971In triangle ABC, angle A is 79°, angle B is 47° and side a is 11 cm. Use the sine rule to work out side b, to 1 decimal place.
- 10th November 19717 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 11th November 1971A histogram class is 4 units wide and contains 16 values. Work out the frequency density.
- 12th November 1971Write the recurring decimal 0.888... as a fraction in its simplest form.
- 13th November 1971Factorise x^2 - 9.
- 14th November 1971y is inversely proportional to x. When x = 4, y = 30. Work out y when x = 5.
- 15th November 1971A right-angled triangle has sides 20 cm, 21 cm and 29 cm. Work out the angle opposite the 20 cm side, to 1 decimal place.
- 16th November 197115 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 17th November 1971Four classes in order have frequencies 5, 7, 11, 10. Write down the cumulative frequency at the end of the third class.
- 18th November 1971Work out 27^(2/3).
- 19th November 1971A region is defined by y < -x + 6. Should the boundary line be solid or dashed, and why?
- 20th November 1971y is directly proportional to x^2. When x = 6, y = 180. Work out y when x = 3.
- 21st November 1971The point (-6, -5) is enlarged by scale factor -3 about the centre (2, -1). Write down the coordinates of the image.
- 22nd November 19713 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 23rd November 197140 beetles are marked and released. Later 56 are caught, of which 7 are marked. Estimate the population.
- 24th November 1971Write sqrt(32) in the form a sqrt(b), where b is as small as possible.
- 25th November 1971Factorise x^2 + 11x + 18.
- 26th November 1971y is directly proportional to x. When x = 6, y = 42. Work out y when x = 3.
- 27th November 1971Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 999 cm^3. Work out the volume of the smaller.
- 28th November 197131 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 29th November 1971A cumulative frequency graph is drawn for 100 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 30th November 1971A meal deal has 4 mains, 7 sides and 2 drinks. How many different meals are possible?