Daily Practice · Higher
June 1955 5-a-day
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The batch download puts all 5 tiers' June 1955 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in June 1955
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 195517 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 2nd June 1955A histogram class is 4 units wide and contains 16 values. Work out the frequency density.
- 3rd June 1955Write the recurring decimal 0.777... as a fraction in its simplest form.
- 4th June 1955Make x the subject of y = 9x^2 - 7.
- 5th June 1955y is inversely proportional to x. When x = 7, y = 50. Work out y when x = 10.
- 6th June 1955In triangle ABC, angle A is 30°, angle B is 74° and side a is 8 cm. Use the sine rule to work out side b, to 1 decimal place.
- 7th June 19552 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 8th June 1955Four classes in order have frequencies 7, 3, 9, 7. Write down the cumulative frequency at the end of the third class.
- 9th June 1955Work out 64^(2/3).
- 10th June 1955Factorise x^2 - 121.
- 11th June 1955y is directly proportional to x^2. When x = 6, y = 108. Work out y when x = 4.
- 12th June 1955A 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.
- 13th June 195528 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 14th June 195545 newts are marked and released. Later 45 are caught, of which 9 are marked. Estimate the population.
- 15th June 1955Write sqrt(72) in the form a sqrt(b), where b is as small as possible.
- 16th June 1955A region is defined by y <= 2x - 9. Should the boundary line be solid or dashed, and why?
- 17th June 1955y is directly proportional to x. When x = 6, y = 54. Work out y when x = 3.
- 18th June 1955The point (-4, 6) is enlarged by scale factor -3 about the centre (3, -4). Write down the coordinates of the image.
- 19th June 19552 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 20th June 1955A cumulative frequency graph is drawn for 40 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 21st June 1955A meal deal has 3 mains, 5 sides and 5 drinks. How many different meals are possible?
- 22nd June 1955Factorise x^2 - 5x - 36.
- 23rd June 1955A town's population is 39500 and grows by 6% each year. Work out the population after 2 years, to the nearest whole number.
- 24th June 1955Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 1344 cm^3. Work out the volume of the smaller.
- 25th June 195529 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 26th June 1955A box plot has a minimum of 13 and a maximum of 38. Work out the range.
- 27th June 1955A mass is 22.3 kg, correct to 1 decimal place. Write down the lower bound.
- 28th June 1955Work out the equation of the line parallel to y = 3x + 2 that passes through (1, 4).
- 29th June 1955A block has volume 120 cm^3 and density 3 g/cm^3. Work out its mass.
- 30th June 1955A right-angled triangle has a hypotenuse of 41 cm and one shorter side of 40 cm. Work out the other shorter side.