Daily Practice · Higher
December 1975 5-a-day
Printing for a group?
The batch download puts all 5 tiers' December 1975 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in December 1975
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st December 197519 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 2nd December 197545 fish are marked and released. Later 88 are caught, of which 8 are marked. Estimate the population.
- 3rd December 1975Write 5^-3 as a fraction.
- 4th December 1975Make x the subject of y = 2x^2 - 11.
- 5th December 1975y is directly proportional to x. When x = 9, y = 63. Work out y when x = 14.
- 6th December 1975In triangle ABC, angle A is 56°, angle B is 53° and side a is 6 cm. Use the sine rule to work out side b, to 1 decimal place.
- 7th December 19754 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 8th December 1975A cumulative frequency graph is drawn for 192 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 9th December 1975Work out (2 x 10^5) x (7 x 10^2). Give your answer in standard form.
- 10th December 1975Factorise x^2 - 4.
- 11th December 1975A town's population is 8500 and grows by 5% each year. Work out the population after 2 years, to the nearest whole number.
- 12th December 1975A right-angled triangle has sides 10 cm, 24 cm and 26 cm. Work out the angle opposite the 10 cm side, to 1 decimal place.
- 13th December 197520 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 14th December 1975A box plot has a minimum of 16 and a maximum of 30. Work out the range.
- 15th December 1975Write the recurring decimal 0.3232... as a fraction in its simplest form.
- 16th December 1975A region is defined by y <= -3x + 2. Should the boundary line be solid or dashed, and why?
- 17th December 1975A block has volume 200 cm^3 and density 11 g/cm^3. Work out its mass.
- 18th December 1975The point (5, -1) is enlarged by scale factor -2 about the centre (-1, 1). Write down the coordinates of the image.
- 19th December 19751 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 20th December 1975A box plot has minimum 11, lower quartile 13, median 17, upper quartile 27 and maximum 31. Work out the interquartile range.
- 21st December 1975A bill is £696 including VAT at 20%. Work out the amount before VAT.
- 22nd December 1975Factorise x^2 - 5x - 14.
- 23rd December 1975x : y = 3 : 5. Write y in terms of x.
- 24th December 1975Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 208 cm^3. Work out the volume of the smaller.
- 25th December 197518 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 26th December 1975A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 27th December 1975A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 28th December 1975Work out the equation of the line parallel to y = -5x + 3 that passes through (6, -23).
- 29th December 1975A price rises by 15% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 30th December 1975A right-angled triangle has a hypotenuse of 41 cm and one shorter side of 9 cm. Work out the other shorter side.
- 31st December 19754 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.