Daily Practice · Higher
May 1977 5-a-day
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The batch download puts all 5 tiers' May 1977 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 1977
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 1977A box plot has a minimum of 5 and a maximum of 16. Work out the range.
- 2nd May 1977A meal deal has 7 mains, 7 sides and 6 drinks. How many different meals are possible?
- 3rd May 1977For the curve y = 6/x, work out y when x = -2, and write down the equation of its vertical asymptote.
- 4th May 1977A block has volume 145 cm^3 and density 3 g/cm^3. Work out its mass.
- 5th May 1977A, B and C are points on a circle with centre O. Angle AOC is 100°. Work out angle ABC, where B is on the major arc.
- 6th May 19771 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 7th May 1977A box plot has minimum 10, lower quartile 12, median 14, upper quartile 22 and maximum 28. Work out the interquartile range.
- 8th May 1977A mass is 22 kg, correct to the nearest whole number. Write down the upper bound.
- 9th May 1977Expand and simplify (x - 4)(x + 4)(x + 4).
- 10th May 1977x : y = 4 : 9. Write y in terms of x.
- 11th May 1977A cone has base radius 4 cm and vertical height 21 cm. Work out its volume, leaving your answer in terms of pi.
- 12th May 197718 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 13th May 1977A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 14th May 1977Write 3^-2 as a fraction.
- 15th May 1977Make x the subject of y = 4x^2 - 12.
- 16th May 1977A price rises by 20% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 17th May 1977In triangle ABC, angle A is 32°, angle B is 49° and side a is 16 cm. Use the sine rule to work out side b, to 1 decimal place.
- 18th May 19774 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 19th May 1977A histogram class is 2 units wide and contains 3 values. Work out the frequency density.
- 20th May 1977Work out (8 x 10^7) x (7 x 10^-3). Give your answer in standard form.
- 21st May 1977Factorise x^2 - 144.
- 22nd May 1977y is inversely proportional to x. When x = 5, y = 10. Work out y when x = 2.
- 23rd May 1977A right-angled triangle has sides 9 cm, 40 cm and 41 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
- 24th May 197715 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 25th May 1977Four classes in order have frequencies 5, 12, 6, 7. Write down the cumulative frequency at the end of the third class.
- 26th May 1977Write the recurring decimal 0.1919... as a fraction in its simplest form.
- 27th May 1977A region is defined by y <= -3x - 4. Should the boundary line be solid or dashed, and why?
- 28th May 1977y is directly proportional to x^2. When x = 2, y = 12. Work out y when x = 3.
- 29th May 1977The point (4, 5) is enlarged by scale factor -3 about the centre (0, 2). Write down the coordinates of the image.
- 30th May 19771 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 31st May 197760 beetles are marked and released. Later 33 are caught, of which 3 are marked. Estimate the population.