Daily Practice · Higher
December 1968 5-a-day
Printing for a group?
The batch download puts all 5 tiers' December 1968 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in December 1968
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st December 196820 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 2nd December 1968A cumulative frequency graph is drawn for 180 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 3rd December 1968A bill is £504 including VAT at 20%. Work out the amount before VAT.
- 4th December 1968For the curve y = -5/x, work out y when x = -5, and write down the equation of its vertical asymptote.
- 5th December 1968A town's population is 5500 and grows by 6% each year. Work out the population after 5 years, to the nearest whole number.
- 6th December 1968A, B and C are points on a circle with centre O. Angle AOC is 172°. Work out angle ABC, where B is on the major arc.
- 7th December 19682 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 8th December 1968A box plot has a minimum of 3 and a maximum of 16. Work out the range.
- 9th December 1968A code is 2 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 10th December 1968Expand and simplify (x - 2)(x - 1)(x - 3).
- 11th December 1968A block has volume 100 cm^3 and density 11 g/cm^3. Work out its mass.
- 12th December 1968A cone has base radius 4 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
- 13th December 19689 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 14th December 1968A box plot has minimum 13, lower quartile 22, median 24, upper quartile 29 and maximum 34. Work out the interquartile range.
- 15th December 1968Work out (6 x 10^12) / (2 x 10^5). Give your answer in standard form.
- 16th December 1968Make x the subject of y = 2x^2 - 7.
- 17th December 1968x : y = 4 : 9. Write y in terms of x.
- 18th December 1968In triangle ABC, angle A is 75°, angle B is 70° and side a is 6 cm. Use the sine rule to work out side b, to 1 decimal place.
- 19th December 19684 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 20th December 1968A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 21st December 1968Write the recurring decimal 0.333... as a fraction in its simplest form.
- 22nd December 1968Factorise x^2 - 121.
- 23rd December 1968A price rises by 15% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 24th December 1968A right-angled triangle has sides 3 cm, 4 cm and 5 cm. Work out the angle opposite the 3 cm side, to 1 decimal place.
- 25th December 196811 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 26th December 1968A histogram class is 5 units wide and contains 10 values. Work out the frequency density.
- 27th December 1968Work out 125^(2/3).
- 28th December 1968A region is defined by y <= 2x - 2. Should the boundary line be solid or dashed, and why?
- 29th December 1968y is inversely proportional to x. When x = 6, y = 20. Work out y when x = 10.
- 30th December 1968The point (3, 5) is enlarged by scale factor -3 about the centre (2, 1). Write down the coordinates of the image.
- 31st December 19685 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.