Daily Practice · Higher
December 1967 5-a-day
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The batch download puts all 5 tiers' December 1967 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in December 1967
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st December 19672 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 2nd December 1967A box plot has minimum 14, lower quartile 20, median 29, upper quartile 36 and maximum 45. Work out the interquartile range.
- 3rd December 1967Write sqrt(98) in the form a sqrt(b), where b is as small as possible.
- 4th December 1967Factorise x^2 - 81.
- 5th December 1967x : y = 5 : 7. Write y in terms of x.
- 6th December 1967A right-angled triangle has sides 12 cm, 16 cm and 20 cm. Work out the angle opposite the 12 cm side, to 1 decimal place.
- 7th December 196724 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 8th December 1967A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 9th December 1967A meal deal has 8 mains, 8 sides and 4 drinks. How many different meals are possible?
- 10th December 1967A region is defined by y < 5x + 7. Should the boundary line be solid or dashed, and why?
- 11th December 1967A price rises by 20% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 12th December 1967The point (-5, -6) is enlarged by scale factor -2 about the centre (-1, 3). Write down the coordinates of the image.
- 13th December 19677 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 14th December 1967A histogram class is 5 units wide and contains 20 values. Work out the frequency density.
- 15th December 1967A mass is 12.8 kg, correct to 1 decimal place. Write down the lower bound.
- 16th December 1967Factorise x^2 - 9x + 8.
- 17th December 1967y is inversely proportional to x. When x = 7, y = 25. Work out y when x = 5.
- 18th December 1967Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 280 cm^3. Work out the volume of the smaller.
- 19th December 196715 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 20th December 1967Four classes in order have frequencies 6, 4, 9, 5. Write down the cumulative frequency at the end of the third class.
- 21st December 1967Write 9^-1 as a fraction.
- 22nd December 1967Work out the equation of the line parallel to y = 2x + 6 that passes through (1, 11).
- 23rd December 1967y is directly proportional to x^2. When x = 4, y = 96. Work out y when x = 9.
- 24th December 1967A right-angled triangle has a hypotenuse of 15 cm and one shorter side of 9 cm. Work out the other shorter side.
- 25th December 19675 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 26th December 196715 newts are marked and released. Later 40 are caught, of which 5 are marked. Estimate the population.
- 27th December 1967Work out (8 x 10^4) x (8 x 10^5). Give your answer in standard form.
- 28th December 1967A line has equation y = -5x + 9. Work out the gradient of any line perpendicular to it.
- 29th December 1967y is directly proportional to x. When x = 6, y = 54. Work out y when x = 10.
- 30th December 1967ABCD is a cyclic quadrilateral. Angle ABC is 119°. Work out angle ADC.
- 31st December 196723 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.