Daily Practice · Higher
November 1956 5-a-day
Printing for a group?
The batch download puts all 5 tiers' November 1956 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 1956
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 1956For the curve y = -6/x, work out y when x = -2, and write down the equation of its vertical asymptote.
- 2nd November 1956y is directly proportional to x. When x = 7, y = 70. Work out y when x = 6.
- 3rd November 1956A, B and C are points on a circle with centre O. Angle AOC is 76°. Work out angle ABC, where B is on the major arc.
- 4th November 19564 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 5th November 1956A cumulative frequency graph is drawn for 68 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 6th November 1956Work out (40 x 10^11) / (5 x 10^3). Give your answer in standard form.
- 7th November 1956Expand and simplify (x - 2)(x + 5)(x - 3).
- 8th November 1956A town's population is 16500 and grows by 4% each year. Work out the population after 5 years, to the nearest whole number.
- 9th November 1956A cone has base radius 5 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
- 10th November 195624 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 11th November 1956A box plot has a minimum of 8 and a maximum of 28. Work out the range.
- 12th November 1956Write the recurring decimal 0.888... as a fraction in its simplest form.
- 13th November 1956Make x the subject of y = 5x^2 - 2.
- 14th November 1956A block has volume 170 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 15th November 1956In triangle ABC, angle A is 72°, angle B is 33° and side a is 9 cm. Use the sine rule to work out side b, to 1 decimal place.
- 16th November 19565 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 17th November 1956A box plot has minimum 7, lower quartile 16, median 24, upper quartile 31 and maximum 39. Work out the interquartile range.
- 18th November 1956Work out 81^(3/2).
- 19th November 1956Factorise x^2 - 81.
- 20th November 1956x : y = 2 : 7. Write y in terms of x.
- 21st November 1956A right-angled triangle has sides 9 cm, 12 cm and 15 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
- 22nd November 195624 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 23rd November 1956A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 24th November 1956Write sqrt(32) in the form a sqrt(b), where b is as small as possible.
- 25th November 1956A region is defined by y <= -5x - 3. Should the boundary line be solid or dashed, and why?
- 26th November 1956A price rises by 10% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 27th November 1956The point (-2, -1) is enlarged by scale factor -1 about the centre (1, -1). Write down the coordinates of the image.
- 28th November 19565 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 29th November 1956A histogram class is 10 units wide and contains 25 values. Work out the frequency density.
- 30th November 1956A meal deal has 5 mains, 3 sides and 6 drinks. How many different meals are possible?