Daily Practice · Higher
December 1977 5-a-day
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The batch download puts all 5 tiers' December 1977 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in December 1977
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st December 1977A 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.
- 2nd December 197713 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 3rd December 1977A box plot has minimum 3, lower quartile 9, median 11, upper quartile 18 and maximum 23. Work out the interquartile range.
- 4th December 1977Work out (6 x 10^4) x (5 x 10^-4). Give your answer in standard form.
- 5th December 1977A region is defined by y <= -3x - 6. Should the boundary line be solid or dashed, and why?
- 6th December 1977x : y = 5 : 6. Write y in terms of x.
- 7th December 1977The point (-6, 6) is enlarged by scale factor -3 about the centre (1, -3). Write down the coordinates of the image.
- 8th December 19775 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 9th December 1977A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 10th December 1977Write the recurring decimal 0.9090... as a fraction in its simplest form.
- 11th December 1977Factorise x^2 + 8x + 7.
- 12th December 1977A price rises by 15% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 13th December 1977Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 160 cm^3. Work out the volume of the smaller.
- 14th December 197715 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 15th December 1977A histogram class is 2 units wide and contains 1 values. Work out the frequency density.
- 16th December 1977A bill is £336 including VAT at 20%. Work out the amount before VAT.
- 17th December 1977Work out the equation of the line parallel to y = 4x - 2 that passes through (5, 30).
- 18th December 1977y is inversely proportional to x. When x = 6, y = 10. Work out y when x = 2.
- 19th December 1977A right-angled triangle has a hypotenuse of 25 cm and one shorter side of 7 cm. Work out the other shorter side.
- 20th December 19772 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 21st December 1977Four classes in order have frequencies 5, 10, 11, 11. Write down the cumulative frequency at the end of the third class.
- 22nd December 1977A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 23rd December 1977A line has equation y = -4x + 7. Work out the gradient of any line perpendicular to it.
- 24th December 1977y is directly proportional to x^2. When x = 4, y = 32. Work out y when x = 8.
- 25th December 1977ABCD is a cyclic quadrilateral. Angle ABC is 84°. Work out angle ADC.
- 26th December 197721 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 27th December 197750 voles are marked and released. Later 48 are caught, of which 8 are marked. Estimate the population.
- 28th December 1977Work out (28 x 10^10) / (4 x 10^3). Give your answer in standard form.
- 29th December 1977For the curve y = 40/x, work out y when x = -10, and write down the equation of its vertical asymptote.
- 30th December 1977y is directly proportional to x. When x = 9, y = 54. Work out y when x = 4.
- 31st December 1977A, B and C are points on a circle with centre O. Angle AOC is 66°. Work out angle ABC, where B is on the major arc.