Daily Practice · Higher
June 1958 5-a-day
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The batch download puts all 5 tiers' June 1958 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in June 1958
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 1958y is inversely proportional to x. When x = 3, y = 36. Work out y when x = 6.
- 2nd June 1958A, B and C are points on a circle with centre O. Angle AOC is 124°. Work out angle ABC, where B is on the major arc.
- 3rd June 19581 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 4th June 1958Four classes in order have frequencies 6, 10, 5, 12. Write down the cumulative frequency at the end of the third class.
- 5th June 1958Write the recurring decimal 0.5050... as a fraction in its simplest form.
- 6th June 1958Expand and simplify (x - 3)(x - 2)(x - 3).
- 7th June 1958y is directly proportional to x^2. When x = 5, y = 50. Work out y when x = 8.
- 8th June 1958A cone has base radius 9 cm and vertical height 12 cm. Work out its volume, leaving your answer in terms of pi.
- 9th June 195826 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 10th June 195810 beetles are marked and released. Later 20 are caught, of which 2 are marked. Estimate the population.
- 11th June 1958A bill is £696 including VAT at 20%. Work out the amount before VAT.
- 12th June 1958Make x the subject of y = 7x^2 - 2.
- 13th June 1958y is directly proportional to x. When x = 9, y = 54. Work out y when x = 5.
- 14th June 1958In triangle ABC, angle A is 37°, angle B is 67° and side a is 20 cm. Use the sine rule to work out side b, to 1 decimal place.
- 15th June 19586 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 16th June 1958A cumulative frequency graph is drawn for 224 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 17th June 1958A code is 2 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 18th June 1958Factorise x^2 - 4.
- 19th June 1958A town's population is 3500 and grows by 3% each year. Work out the population after 5 years, to the nearest whole number.
- 20th June 1958A right-angled triangle has sides 20 cm, 21 cm and 29 cm. Work out the angle opposite the 20 cm side, to 1 decimal place.
- 21st June 195823 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 22nd June 1958A box plot has a minimum of 2 and a maximum of 34. Work out the range.
- 23rd June 1958Work out (14 x 10^6) / (7 x 10^4). Give your answer in standard form.
- 24th June 1958A region is defined by y < -x - 6. Should the boundary line be solid or dashed, and why?
- 25th June 1958A block has volume 135 cm^3 and density 8 g/cm^3. Work out its mass.
- 26th June 1958The point (-5, -3) is enlarged by scale factor -1 about the centre (-3, 4). Write down the coordinates of the image.
- 27th June 19584 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 28th June 1958A box plot has minimum 3, lower quartile 10, median 14, upper quartile 19 and maximum 26. Work out the interquartile range.
- 29th June 1958Write the recurring decimal 0.222... as a fraction in its simplest form.
- 30th June 1958Factorise x^2 + 6x - 27.