Daily Practice · Higher
December 1966 5-a-day
Printing for a group?
The batch download puts all 5 tiers' December 1966 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in December 1966
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st December 1966A histogram class is 5 units wide and contains 12.5 values. Work out the frequency density.
- 2nd December 1966Write the recurring decimal 0.3737... as a fraction in its simplest form.
- 3rd December 1966Work out the equation of the line parallel to y = -x - 1 that passes through (3, -2).
- 4th December 1966y is inversely proportional to x. When x = 4, y = 15. Work out y when x = 5.
- 5th December 1966A right-angled triangle has a hypotenuse of 17 cm and one shorter side of 15 cm. Work out the other shorter side.
- 6th December 19661 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 7th December 1966Four classes in order have frequencies 7, 7, 12, 8. Write down the cumulative frequency at the end of the third class.
- 8th December 1966A bill is £528 including VAT at 20%. Work out the amount before VAT.
- 9th December 1966A line has equation y = -4x + 4. Work out the gradient of any line perpendicular to it.
- 10th December 1966y is directly proportional to x^2. When x = 3, y = 45. Work out y when x = 4.
- 11th December 1966ABCD is a cyclic quadrilateral. Angle ABC is 122°. Work out angle ADC.
- 12th December 196611 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 13th December 196640 newts are marked and released. Later 45 are caught, of which 5 are marked. Estimate the population.
- 14th December 1966A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 15th December 1966For the curve y = 36/x, work out y when x = 4, and write down the equation of its vertical asymptote.
- 16th December 1966y is directly proportional to x. When x = 2, y = 14. Work out y when x = 6.
- 17th December 1966A, B and C are points on a circle with centre O. Angle AOC is 170°. Work out angle ABC, where B is on the major arc.
- 18th December 19663 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 19th December 1966A cumulative frequency graph is drawn for 168 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 20th December 1966Work out (35 x 10^8) / (7 x 10^4). Give your answer in standard form.
- 21st December 1966Expand and simplify (x + 2)(x + 3)(x - 3).
- 22nd December 1966A town's population is 18500 and grows by 5% each year. Work out the population after 4 years, to the nearest whole number.
- 23rd December 1966A cone has base radius 4 cm and vertical height 18 cm. Work out its volume, leaving your answer in terms of pi.
- 24th December 196623 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 25th December 1966A box plot has a minimum of 6 and a maximum of 28. Work out the range.
- 26th December 1966Write the recurring decimal 0.666... as a fraction in its simplest form.
- 27th December 1966Make x the subject of y = 7x^2 - 3.
- 28th December 1966A block has volume 10 cm^3 and density 4 g/cm^3. Work out its mass.
- 29th December 1966In triangle ABC, angle A is 31°, angle B is 42° and side a is 18 cm. Use the sine rule to work out side b, to 1 decimal place.
- 30th December 19662 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 31st December 1966A box plot has minimum 15, lower quartile 18, median 23, upper quartile 30 and maximum 32. Work out the interquartile range.