Daily Practice · Higher
January 1955 5-a-day
Printing for a group?
The batch download puts all 5 tiers' January 1955 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in January 1955
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st January 1955A, B and C are points on a circle with centre O. Angle AOC is 146°. Work out angle ABC, where B is on the major arc.
- 2nd January 19553 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 3rd January 1955A cumulative frequency graph is drawn for 152 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 4th January 1955A bill is £504 including VAT at 20%. Work out the amount before VAT.
- 5th January 1955Expand and simplify (x - 2)(x + 1)(x - 5).
- 6th January 1955A town's population is 3500 and grows by 3% each year. Work out the population after 6 years, to the nearest whole number.
- 7th January 1955A cone has base radius 3 cm and vertical height 9 cm. Work out its volume, leaving your answer in terms of pi.
- 8th January 195524 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 9th January 1955A box plot has a minimum of 8 and a maximum of 32. Work out the range.
- 10th January 1955A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 11th January 1955Make x the subject of y = 9x^2 - 11.
- 12th January 1955A block has volume 145 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 13th January 1955In triangle ABC, angle A is 69°, angle B is 47° and side a is 16 cm. Use the sine rule to work out side b, to 1 decimal place.
- 14th January 19557 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 15th January 1955A box plot has minimum 10, lower quartile 14, median 22, upper quartile 25 and maximum 30. Work out the interquartile range.
- 16th January 1955Work out (63 x 10^10) / (7 x 10^4). Give your answer in standard form.
- 17th January 1955Factorise x^2 - 16.
- 18th January 1955x : y = 3 : 8. Write y in terms of x.
- 19th January 1955A 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 January 19559 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 21st January 1955A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 22nd January 1955Write the recurring decimal 0.333... as a fraction in its simplest form.
- 23rd January 1955A region is defined by y <= 5x - 7. Should the boundary line be solid or dashed, and why?
- 24th January 1955A price rises by 10% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 25th January 1955The point (-6, 0) is enlarged by scale factor -1 about the centre (2, 2). Write down the coordinates of the image.
- 26th January 19555 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 27th January 1955A histogram class is 5 units wide and contains 15 values. Work out the frequency density.
- 28th January 1955Work out 25^(3/2).
- 29th January 1955Factorise x^2 - x - 42.
- 30th January 1955y is inversely proportional to x. When x = 7, y = 30. Work out y when x = 10.
- 31st January 1955Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 675 cm^3. Work out the volume of the smaller.