Daily Practice · Higher
December 1976 5-a-day
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The batch download puts all 5 tiers' December 1976 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in December 1976
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st December 19764 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 2nd December 1976A histogram class is 5 units wide and contains 12.5 values. Work out the frequency density.
- 3rd December 1976Write the recurring decimal 0.333... as a fraction in its simplest form.
- 4th December 1976A line has equation y = 4x + 2. Work out the gradient of any line perpendicular to it.
- 5th December 1976y is inversely proportional to x. When x = 9, y = 15. Work out y when x = 3.
- 6th December 1976ABCD is a cyclic quadrilateral. Angle ABC is 50°. Work out angle ADC.
- 7th December 197623 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 8th December 1976Four classes in order have frequencies 4, 11, 8, 9. Write down the cumulative frequency at the end of the third class.
- 9th December 1976Work out 49^(3/2).
- 10th December 1976For the curve y = -20/x, work out y when x = 5, and write down the equation of its vertical asymptote.
- 11th December 1976y is directly proportional to x^2. When x = 2, y = 32. Work out y when x = 4.
- 12th December 1976A, B and C are points on a circle with centre O. Angle AOC is 136°. Work out angle ABC, where B is on the major arc.
- 13th December 19762 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 14th December 197610 fish are marked and released. Later 12 are caught, of which 2 are marked. Estimate the population.
- 15th December 1976Write sqrt(32) in the form a sqrt(b), where b is as small as possible.
- 16th December 1976Expand and simplify (x + 1)(x - 1)(x + 3).
- 17th December 1976y is directly proportional to x. When x = 3, y = 9. Work out y when x = 6.
- 18th December 1976A cone has base radius 6 cm and vertical height 21 cm. Work out its volume, leaving your answer in terms of pi.
- 19th December 197627 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 20th December 1976A cumulative frequency graph is drawn for 176 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 21st December 1976A meal deal has 7 mains, 9 sides and 6 drinks. How many different meals are possible?
- 22nd December 1976Make x the subject of y = 3x^2 - 7.
- 23rd December 1976A town's population is 36500 and grows by 6% each year. Work out the population after 5 years, to the nearest whole number.
- 24th December 1976In triangle ABC, angle A is 42°, angle B is 53° and side a is 10 cm. Use the sine rule to work out side b, to 1 decimal place.
- 25th December 19762 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 26th December 1976A box plot has a minimum of 4 and a maximum of 30. Work out the range.
- 27th December 1976A mass is 46 kg, correct to the nearest whole number. Write down the upper bound.
- 28th December 1976Factorise x^2 - 4.
- 29th December 1976A block has volume 15 cm^3 and density 8 g/cm^3. Work out its mass.
- 30th December 1976A right-angled triangle has sides 20 cm, 21 cm and 29 cm. Work out the angle opposite the 20 cm side, to 1 decimal place.
- 31st December 197623 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.