Daily Practice · Higher
December 1955 5-a-day
Printing for a group?
The batch download puts all 5 tiers' December 1955 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in December 1955
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st December 1955For the curve y = 60/x, work out y when x = -5, and write down the equation of its vertical asymptote.
- 2nd December 1955y is directly proportional to x. When x = 5, y = 60. Work out y when x = 12.
- 3rd December 1955A, B and C are points on a circle with centre O. Angle AOC is 112°. Work out angle ABC, where B is on the major arc.
- 4th December 19552 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 5th December 1955A cumulative frequency graph is drawn for 148 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 6th December 1955A code is 2 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 7th December 1955Expand and simplify (x + 3)(x - 5)(x + 1).
- 8th December 1955A town's population is 12000 and grows by 5% each year. Work out the population after 5 years, to the nearest whole number.
- 9th December 1955A cone has base radius 7 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
- 10th December 195525 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 11th December 1955A box plot has a minimum of 11 and a maximum of 22. Work out the range.
- 12th December 1955Work out (36 x 10^9) / (6 x 10^3). Give your answer in standard form.
- 13th December 1955Make x the subject of y = 4x^2 - 4.
- 14th December 1955A block has volume 170 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 15th December 1955In triangle ABC, angle A is 80°, angle B is 34° and side a is 11 cm. Use the sine rule to work out side b, to 1 decimal place.
- 16th December 19552 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 17th December 1955A box plot has minimum 8, lower quartile 18, median 22, upper quartile 32 and maximum 41. Work out the interquartile range.
- 18th December 1955Write the recurring decimal 0.888... as a fraction in its simplest form.
- 19th December 1955Factorise x^2 - 25.
- 20th December 1955x : y = 5 : 9. Write y in terms of x.
- 21st December 1955A right-angled triangle has sides 9 cm, 40 cm and 41 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
- 22nd December 195523 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 23rd December 1955A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 24th December 1955Work out 49^(3/2).
- 25th December 1955A region is defined by y <= 4x - 1. Should the boundary line be solid or dashed, and why?
- 26th December 1955A price rises by 25% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 27th December 1955The point (-6, 0) is enlarged by scale factor -1 about the centre (-3, 1). Write down the coordinates of the image.
- 28th December 19553 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 29th December 1955A histogram class is 20 units wide and contains 80 values. Work out the frequency density.
- 30th December 1955Write sqrt(20) in the form a sqrt(b), where b is as small as possible.
- 31st December 1955Factorise x^2 - 3x - 28.