Daily Practice · Higher
June 1968 5-a-day
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The batch download puts all 5 tiers' June 1968 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in June 1968
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 1968Expand and simplify (x + 5)(x + 4)(x - 3).
- 2nd June 1968y is inversely proportional to x. When x = 2, y = 30. Work out y when x = 5.
- 3rd June 1968A cone has base radius 6 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
- 4th June 196814 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 5th June 1968Four classes in order have frequencies 9, 3, 6, 7. Write down the cumulative frequency at the end of the third class.
- 6th June 1968Write the recurring decimal 0.333... as a fraction in its simplest form.
- 7th June 1968Make x the subject of y = 8x^2 - 9.
- 8th June 1968y is directly proportional to x^2. When x = 6, y = 180. Work out y when x = 3.
- 9th June 1968In triangle ABC, angle A is 49°, angle B is 69° and side a is 10 cm. Use the sine rule to work out side b, to 1 decimal place.
- 10th June 19682 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 11th June 196835 newts are marked and released. Later 45 are caught, of which 5 are marked. Estimate the population.
- 12th June 1968Work out 49^(3/2).
- 13th June 1968Factorise x^2 - 144.
- 14th June 1968y is directly proportional to x. When x = 8, y = 88. Work out y when x = 11.
- 15th June 1968A 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.
- 16th June 196815 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 17th June 1968A cumulative frequency graph is drawn for 144 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 18th June 1968Write sqrt(98) in the form a sqrt(b), where b is as small as possible.
- 19th June 1968A region is defined by y <= 3x + 8. Should the boundary line be solid or dashed, and why?
- 20th June 1968A town's population is 9000 and grows by 5% each year. Work out the population after 4 years, to the nearest whole number.
- 21st June 1968The point (-2, -4) is enlarged by scale factor -2 about the centre (1, -2). Write down the coordinates of the image.
- 22nd June 19687 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 23rd June 1968A box plot has a minimum of 17 and a maximum of 77. Work out the range.
- 24th June 1968A meal deal has 6 mains, 8 sides and 4 drinks. How many different meals are possible?
- 25th June 1968Factorise x^2 - 49.
- 26th June 1968A block has volume 180 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 27th June 1968Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 567 cm^3. Work out the volume of the smaller.
- 28th June 196810 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 29th June 1968A box plot has minimum 9, lower quartile 18, median 22, upper quartile 24 and maximum 32. Work out the interquartile range.
- 30th June 1968A mass is 25.1 kg, correct to 1 decimal place. Write down the upper bound.