Daily Practice · Higher
January 1976 5-a-day
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The batch download puts all 5 tiers' January 1976 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in January 1976
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st January 1976A histogram class is 4 units wide and contains 8 values. Work out the frequency density.
- 2nd January 1976Work out (27 x 10^8) / (9 x 10^5). Give your answer in standard form.
- 3rd January 1976A line has equation y = -2x + 2. Work out the gradient of any line perpendicular to it.
- 4th January 1976y is inversely proportional to x. When x = 8, y = 30. Work out y when x = 6.
- 5th January 1976ABCD is a cyclic quadrilateral. Angle ABC is 50°. Work out angle ADC.
- 6th January 197620 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 1976Four classes in order have frequencies 11, 6, 3, 7. Write down the cumulative frequency at the end of the third class.
- 8th January 1976Write the recurring decimal 0.444... as a fraction in its simplest form.
- 9th January 1976For the curve y = -12/x, work out y when x = -2, and write down the equation of its vertical asymptote.
- 10th January 1976y is directly proportional to x^2. When x = 2, y = 20. Work out y when x = 4.
- 11th January 1976A, B and C are points on a circle with centre O. Angle AOC is 150°. Work out angle ABC, where B is on the major arc.
- 12th January 19765 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 13th January 197650 voles are marked and released. Later 35 are caught, of which 5 are marked. Estimate the population.
- 14th January 1976Work out 49^(3/2).
- 15th January 1976Expand and simplify (x + 4)(x + 5)(x - 5).
- 16th January 1976y is directly proportional to x. When x = 7, y = 56. Work out y when x = 11.
- 17th January 1976A cone has base radius 7 cm and vertical height 3 cm. Work out its volume, leaving your answer in terms of pi.
- 18th January 197619 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 19th January 1976A cumulative frequency graph is drawn for 236 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 20th January 1976Write sqrt(72) in the form a sqrt(b), where b is as small as possible.
- 21st January 1976Make x the subject of y = 7x^2 - 6.
- 22nd January 1976A town's population is 6500 and grows by 6% each year. Work out the population after 5 years, to the nearest whole number.
- 23rd January 1976In triangle ABC, angle A is 38°, angle B is 94° and side a is 16 cm. Use the sine rule to work out side b, to 1 decimal place.
- 24th January 19762 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 25th January 1976A box plot has a minimum of 14 and a maximum of 59. Work out the range.
- 26th January 1976A meal deal has 8 mains, 3 sides and 2 drinks. How many different meals are possible?
- 27th January 1976Factorise x^2 - 81.
- 28th January 1976A block has volume 120 cm^3 and density 8 g/cm^3. Work out its mass.
- 29th January 1976A 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.
- 30th January 19768 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 31st January 1976A box plot has minimum 15, lower quartile 20, median 23, upper quartile 27 and maximum 32. Work out the interquartile range.