Daily Practice · Higher
May 1975 5-a-day
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The batch download puts all 5 tiers' May 1975 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 1975
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 1975Write sqrt(45) in the form a sqrt(b), where b is as small as possible.
- 2nd May 1975Work out the equation of the line parallel to y = 3x + 5 that passes through (3, 5).
- 3rd May 1975y is directly proportional to x^2. When x = 3, y = 36. Work out y when x = 2.
- 4th May 1975A right-angled triangle has a hypotenuse of 5 cm and one shorter side of 3 cm. Work out the other shorter side.
- 5th May 19751 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 6th May 197525 voles are marked and released. Later 84 are caught, of which 7 are marked. Estimate the population.
- 7th May 1975A meal deal has 8 mains, 4 sides and 6 drinks. How many different meals are possible?
- 8th May 1975A line has equation y = 4x + 9. Work out the gradient of any line perpendicular to it.
- 9th May 1975y is directly proportional to x. When x = 4, y = 20. Work out y when x = 5.
- 10th May 1975ABCD is a cyclic quadrilateral. Angle ABC is 96°. Work out angle ADC.
- 11th May 197516 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 12th May 1975A cumulative frequency graph is drawn for 64 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 13th May 1975A mass is 430 kg, correct to the nearest 10. Write down the lower bound.
- 14th May 1975For the curve y = -22/x, work out y when x = 2, and write down the equation of its vertical asymptote.
- 15th May 1975A town's population is 39500 and grows by 3% each year. Work out the population after 6 years, to the nearest whole number.
- 16th May 1975A, B and C are points on a circle with centre O. Angle AOC is 146°. Work out angle ABC, where B is on the major arc.
- 17th May 19753 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 18th May 1975A box plot has a minimum of 15 and a maximum of 30. Work out the range.
- 19th May 1975Write 2^-3 as a fraction.
- 20th May 1975Expand and simplify (x - 3)(x - 2)(x + 4).
- 21st May 1975A block has volume 120 cm^3 and density 11 g/cm^3. Work out its mass.
- 22nd May 1975A cone has base radius 7 cm and vertical height 21 cm. Work out its volume, leaving your answer in terms of pi.
- 23rd May 197524 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 24th May 1975A box plot has minimum 11, lower quartile 21, median 27, upper quartile 33 and maximum 43. Work out the interquartile range.
- 25th May 1975Work out (9 x 10^5) x (3 x 10^3). Give your answer in standard form.
- 26th May 1975Make x the subject of y = 9x^2 - 10.
- 27th May 1975x : y = 2 : 5. Write y in terms of x.
- 28th May 1975In triangle ABC, angle A is 59°, angle B is 43° and side a is 15 cm. Use the sine rule to work out side b, to 1 decimal place.
- 29th May 19751 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 30th May 1975A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 31st May 1975Write the recurring decimal 0.9191... as a fraction in its simplest form.