Daily Practice · Higher
January 1953 5-a-day
Printing for a group?
The batch download puts all 5 tiers' January 1953 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in January 1953
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st January 1953A histogram class is 2 units wide and contains 3 values. Work out the frequency density.
- 2nd January 1953Write the recurring decimal 0.6767... as a fraction in its simplest form.
- 3rd January 1953A line has equation y = 2x + 4. Work out the gradient of any line perpendicular to it.
- 4th January 1953y is inversely proportional to x. When x = 7, y = 4. Work out y when x = 4.
- 5th January 1953ABCD is a cyclic quadrilateral. Angle ABC is 52°. Work out angle ADC.
- 6th January 195317 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 7th January 1953Four classes in order have frequencies 8, 7, 4, 12. Write down the cumulative frequency at the end of the third class.
- 8th January 1953A bill is £312 including VAT at 20%. Work out the amount before VAT.
- 9th January 1953For the curve y = 16/x, work out y when x = -2, and write down the equation of its vertical asymptote.
- 10th January 1953y is directly proportional to x^2. When x = 2, y = 16. Work out y when x = 3.
- 11th January 1953A, B and C are points on a circle with centre O. Angle AOC is 138°. Work out angle ABC, where B is on the major arc.
- 12th January 19533 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 13th January 195345 fish are marked and released. Later 16 are caught, of which 2 are marked. Estimate the population.
- 14th January 1953A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 15th January 1953Expand and simplify (x - 1)(x + 4)(x - 1).
- 16th January 1953y is directly proportional to x. When x = 3, y = 30. Work out y when x = 6.
- 17th January 1953A cone has base radius 6 cm and vertical height 21 cm. Work out its volume, leaving your answer in terms of pi.
- 18th January 195320 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 19th January 1953A cumulative frequency graph is drawn for 56 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 20th January 1953Work out (35 x 10^10) / (7 x 10^5). Give your answer in standard form.
- 21st January 1953Make x the subject of y = 8x^2 - 3.
- 22nd January 1953A town's population is 34500 and grows by 8% each year. Work out the population after 4 years, to the nearest whole number.
- 23rd January 1953In triangle ABC, angle A is 37°, angle B is 104° and side a is 13 cm. Use the sine rule to work out side b, to 1 decimal place.
- 24th January 19532 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 25th January 1953A box plot has a minimum of 5 and a maximum of 22. Work out the range.
- 26th January 1953Write the recurring decimal 0.555... as a fraction in its simplest form.
- 27th January 1953Factorise x^2 - 16.
- 28th January 1953A block has volume 90 cm^3 and density 3 g/cm^3. Work out its mass.
- 29th January 1953A right-angled triangle has sides 5 cm, 12 cm and 13 cm. Work out the angle opposite the 5 cm side, to 1 decimal place.
- 30th January 195316 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 31st January 1953A box plot has minimum 8, lower quartile 13, median 21, upper quartile 25 and maximum 32. Work out the interquartile range.