Daily Practice · Higher
November 1961 5-a-day
Printing for a group?
The batch download puts all 5 tiers' November 1961 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 1961
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 1961A, B and C are points on a circle with centre O. Angle AOC is 172°. Work out angle ABC, where B is on the major arc.
- 2nd November 19614 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 3rd November 1961A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 4th November 1961Work out (2 x 10^3) x (4 x 10^4). Give your answer in standard form.
- 5th November 1961Expand and simplify (x - 5)(x + 5)(x + 2).
- 6th November 1961A price rises by 15% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 7th November 1961A cone has base radius 2 cm and vertical height 12 cm. Work out its volume, leaving your answer in terms of pi.
- 8th November 196124 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 9th November 1961A histogram class is 5 units wide and contains 7.5 values. Work out the frequency density.
- 10th November 1961Write the recurring decimal 0.6363... as a fraction in its simplest form.
- 11th November 1961Make x the subject of y = 9x^2 - 9.
- 12th November 1961y is inversely proportional to x. When x = 2, y = 5. Work out y when x = 5.
- 13th November 1961In triangle ABC, angle A is 32°, angle B is 87° and side a is 9 cm. Use the sine rule to work out side b, to 1 decimal place.
- 14th November 19612 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 15th November 1961Four classes in order have frequencies 3, 7, 4, 11. Write down the cumulative frequency at the end of the third class.
- 16th November 1961A bill is £144 including VAT at 20%. Work out the amount before VAT.
- 17th November 1961Factorise x^2 - 121.
- 18th November 1961y is directly proportional to x^2. When x = 6, y = 216. Work out y when x = 5.
- 19th November 1961A right-angled triangle has sides 7 cm, 24 cm and 25 cm. Work out the angle opposite the 7 cm side, to 1 decimal place.
- 20th November 196117 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 21st November 196150 voles are marked and released. Later 48 are caught, of which 8 are marked. Estimate the population.
- 22nd November 1961A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 23rd November 1961A region is defined by y < -3x - 2. Should the boundary line be solid or dashed, and why?
- 24th November 1961y is directly proportional to x. When x = 7, y = 35. Work out y when x = 3.
- 25th November 1961The point (-4, -2) is enlarged by scale factor -1 about the centre (2, 4). Write down the coordinates of the image.
- 26th November 19611 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 27th November 1961A cumulative frequency graph is drawn for 168 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 28th November 1961Work out (12 x 10^12) / (4 x 10^3). Give your answer in standard form.
- 29th November 1961Factorise x^2 + 13x + 40.
- 30th November 1961A town's population is 6000 and grows by 5% each year. Work out the population after 4 years, to the nearest whole number.