Daily Practice · Higher
May 1972 5-a-day
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The batch download puts all 5 tiers' May 1972 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 1972
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 1972ABCD is a cyclic quadrilateral. Angle ABC is 55°. Work out angle ADC.
- 2nd May 197224 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 3rd May 1972Four classes in order have frequencies 8, 7, 11, 12. Write down the cumulative frequency at the end of the third class.
- 4th May 1972Write the recurring decimal 0.1212... as a fraction in its simplest form.
- 5th May 1972For the curve y = -4/x, work out y when x = 2, and write down the equation of its vertical asymptote.
- 6th May 1972y is directly proportional to x^2. When x = 3, y = 72. Work out y when x = 4.
- 7th May 1972A, B and C are points on a circle with centre O. Angle AOC is 98°. Work out angle ABC, where B is on the major arc.
- 8th May 19724 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 9th May 197225 newts are marked and released. Later 40 are caught, of which 4 are marked. Estimate the population.
- 10th May 1972A bill is £864 including VAT at 20%. Work out the amount before VAT.
- 11th May 1972Expand and simplify (x + 5)(x - 1)(x + 2).
- 12th May 1972y is directly proportional to x. When x = 4, y = 40. Work out y when x = 6.
- 13th May 1972A cone has base radius 5 cm and vertical height 3 cm. Work out its volume, leaving your answer in terms of pi.
- 14th May 197228 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 15th May 1972A cumulative frequency graph is drawn for 104 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 16th May 1972A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 17th May 1972Make x the subject of y = 6x^2 - 9.
- 18th May 1972A town's population is 39000 and grows by 8% each year. Work out the population after 6 years, to the nearest whole number.
- 19th May 1972In triangle ABC, angle A is 57°, angle B is 79° and side a is 8 cm. Use the sine rule to work out side b, to 1 decimal place.
- 20th May 19723 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 21st May 1972A box plot has a minimum of 9 and a maximum of 60. Work out the range.
- 22nd May 1972Work out (49 x 10^12) / (7 x 10^4). Give your answer in standard form.
- 23rd May 1972Factorise x^2 - 81.
- 24th May 1972A block has volume 90 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 25th May 1972A 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.
- 26th May 197226 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 27th May 1972A box plot has minimum 7, lower quartile 17, median 25, upper quartile 35 and maximum 38. Work out the interquartile range.
- 28th May 1972Write the recurring decimal 0.111... as a fraction in its simplest form.
- 29th May 1972A region is defined by y < x - 4. Should the boundary line be solid or dashed, and why?
- 30th May 1972x : y = 2 : 9. Write y in terms of x.
- 31st May 1972The point (-3, -5) is enlarged by scale factor -1 about the centre (-4, -3). Write down the coordinates of the image.