Daily Practice · Higher
June 2017 - Higher 5-a-day
Every Higher sheet published in June 2017, with answers. Grades 6-7 - Higher-tier method and manipulation.
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The batch download puts all 5 tiers' June 2017 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in June 2017
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 2017Work out 64^(2/3).
- 2nd June 2017For the curve y = -20/x, work out y when x = -2, and write down the equation of its vertical asymptote.
- 3rd June 2017y is directly proportional to x^2. When x = 6, y = 108. Work out y when x = 5.
- 4th June 2017A, B and C are points on a circle with centre O. Angle AOC is 76°. Work out angle ABC, where B is on the major arc.
- 5th June 20173 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 6th June 201720 beetles are marked and released. Later 36 are caught, of which 4 are marked. Estimate the population.
- 7th June 2017Write sqrt(18) in the form a sqrt(b), where b is as small as possible.
- 8th June 2017Expand and simplify (x + 5)(x + 1)(x + 1).
- 9th June 2017y is directly proportional to x. When x = 3, y = 27. Work out y when x = 7.
- 10th June 2017A cone has base radius 6 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
- 11th June 201716 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 12th June 2017A cumulative frequency graph is drawn for 228 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 13th June 2017A meal deal has 9 mains, 8 sides and 3 drinks. How many different meals are possible?
- 14th June 2017Make x the subject of y = 8x^2 - 9.
- 15th June 2017A town's population is 12500 and grows by 4% each year. Work out the population after 4 years, to the nearest whole number.
- 16th June 2017In triangle ABC, angle A is 75°, angle B is 75° and side a is 12 cm. Use the sine rule to work out side b, to 1 decimal place.
- 17th June 20172 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 18th June 2017A box plot has a minimum of 11 and a maximum of 59. Work out the range.
- 19th June 2017A mass is 530 kg, correct to the nearest 10. Write down the upper bound.
- 20th June 2017Factorise x^2 - 4.
- 21st June 2017A block has volume 15 cm^3 and density 8 g/cm^3. Work out its mass.
- 22nd June 2017A right-angled triangle has sides 9 cm, 12 cm and 15 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
- 23rd June 201724 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 June 2017A box plot has minimum 13, lower quartile 16, median 20, upper quartile 30 and maximum 39. Work out the interquartile range.
- 25th June 2017Write 7^-2 as a fraction.
- 26th June 2017A region is defined by y < x - 7. Should the boundary line be solid or dashed, and why?
- 27th June 2017x : y = 2 : 3. Write y in terms of x.
- 28th June 2017The point (-3, 1) is enlarged by scale factor -3 about the centre (1, 4). Write down the coordinates of the image.
- 29th June 20175 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 30th June 2017A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.