Daily Practice · Higher
October 1955 5-a-day
Printing for a group?
The batch download puts all 5 tiers' October 1955 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in October 1955
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st October 1955A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 2nd October 1955Work out the equation of the line parallel to y = -x - 5 that passes through (1, 3).
- 3rd October 1955A price rises by 10% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 4th October 1955A right-angled triangle has a hypotenuse of 29 cm and one shorter side of 20 cm. Work out the other shorter side.
- 5th October 19555 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 6th October 1955A histogram class is 2 units wide and contains 4 values. Work out the frequency density.
- 7th October 1955Work out (21 x 10^6) / (7 x 10^2). Give your answer in standard form.
- 8th October 1955A line has equation y = 2x + 1. Work out the gradient of any line perpendicular to it.
- 9th October 1955y is inversely proportional to x. When x = 3, y = 24. Work out y when x = 4.
- 10th October 1955ABCD is a cyclic quadrilateral. Angle ABC is 88°. Work out angle ADC.
- 11th October 195510 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 12th October 1955Four classes in order have frequencies 9, 4, 12, 5. Write down the cumulative frequency at the end of the third class.
- 13th October 1955Write the recurring decimal 0.111... as a fraction in its simplest form.
- 14th October 1955For the curve y = 4/x, work out y when x = -4, and write down the equation of its vertical asymptote.
- 15th October 1955y is directly proportional to x^2. When x = 6, y = 288. Work out y when x = 2.
- 16th October 1955A, B and C are points on a circle with centre O. Angle AOC is 60°. Work out angle ABC, where B is on the major arc.
- 17th October 19551 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 18th October 195540 voles are marked and released. Later 108 are caught, of which 9 are marked. Estimate the population.
- 19th October 1955Work out 36^(3/2).
- 20th October 1955Expand and simplify (x - 4)(x + 3)(x - 2).
- 21st October 1955y is directly proportional to x. When x = 8, y = 88. Work out y when x = 15.
- 22nd October 1955A cone has base radius 5 cm and vertical height 12 cm. Work out its volume, leaving your answer in terms of pi.
- 23rd October 195520 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 24th October 1955A cumulative frequency graph is drawn for 212 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 25th October 1955Write sqrt(8) in the form a sqrt(b), where b is as small as possible.
- 26th October 1955Make x the subject of y = 5x^2 - 8.
- 27th October 1955A town's population is 11000 and grows by 3% each year. Work out the population after 2 years, to the nearest whole number.
- 28th October 1955In triangle ABC, angle A is 80°, angle B is 46° and side a is 9 cm. Use the sine rule to work out side b, to 1 decimal place.
- 29th October 19551 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 30th October 1955A box plot has a minimum of 9 and a maximum of 57. Work out the range.
- 31st October 1955A meal deal has 3 mains, 4 sides and 3 drinks. How many different meals are possible?