Daily Practice · Higher
January 1985 5-a-day
Printing for a group?
The batch download puts all 5 tiers' January 1985 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in January 1985
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st January 198555 newts are marked and released. Later 12 are caught, of which 3 are marked. Estimate the population.
- 2nd January 1985A bill is £528 including VAT at 20%. Work out the amount before VAT.
- 3rd January 1985Factorise x^2 - 49.
- 4th January 1985y is directly proportional to x. When x = 5, y = 15. Work out y when x = 4.
- 5th January 1985A 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.
- 6th January 198524 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 7th January 1985A cumulative frequency graph is drawn for 68 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 8th January 1985A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 9th January 1985A region is defined by y < -5x + 7. Should the boundary line be solid or dashed, and why?
- 10th January 1985A town's population is 39000 and grows by 8% each year. Work out the population after 5 years, to the nearest whole number.
- 11th January 1985The point (-3, -5) is enlarged by scale factor -2 about the centre (4, 3). Write down the coordinates of the image.
- 12th January 19851 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 13th January 1985A box plot has a minimum of 10 and a maximum of 25. Work out the range.
- 14th January 1985Work out (45 x 10^10) / (9 x 10^2). Give your answer in standard form.
- 15th January 1985Factorise x^2 - 2x - 15.
- 16th January 1985A block has volume 15 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 17th January 1985Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 264 cm^3. Work out the volume of the smaller.
- 18th January 198513 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 19th January 1985A box plot has minimum 7, lower quartile 16, median 19, upper quartile 29 and maximum 37. Work out the interquartile range.
- 20th January 1985Write the recurring decimal 0.222... as a fraction in its simplest form.
- 21st January 1985Work out the equation of the line parallel to y = -4x - 3 that passes through (6, -20).
- 22nd January 1985x : y = 3 : 5. Write y in terms of x.
- 23rd January 1985A right-angled triangle has a hypotenuse of 41 cm and one shorter side of 40 cm. Work out the other shorter side.
- 24th January 19853 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 25th January 1985A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 26th January 1985Work out 8^(2/3).
- 27th January 1985A line has equation y = -2x + 8. Work out the gradient of any line perpendicular to it.
- 28th January 1985A price rises by 25% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 29th January 1985ABCD is a cyclic quadrilateral. Angle ABC is 73°. Work out angle ADC.
- 30th January 198515 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 31st January 1985A histogram class is 10 units wide and contains 40 values. Work out the frequency density.