Daily Practice · Higher
June 2010 - Higher 5-a-day
Every Higher sheet published in June 2010, with answers. Grades 6-7 - Higher-tier method and manipulation.
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The batch download puts all 5 tiers' June 2010 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in June 2010
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 201055 newts are marked and released. Later 108 are caught, of which 9 are marked. Estimate the population.
- 2nd June 2010A mass is 15 kg, correct to the nearest whole number. Write down the lower bound.
- 3rd June 2010Work out the equation of the line parallel to y = -5x - 6 that passes through (3, -13).
- 4th June 2010y is directly proportional to x. When x = 5, y = 35. Work out y when x = 6.
- 5th June 2010A right-angled triangle has a hypotenuse of 29 cm and one shorter side of 20 cm. Work out the other shorter side.
- 6th June 20103 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 7th June 2010A cumulative frequency graph is drawn for 104 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 8th June 2010Write 9^-2 as a fraction.
- 9th June 2010A line has equation y = 4x + 9. Work out the gradient of any line perpendicular to it.
- 10th June 2010A town's population is 5500 and grows by 4% each year. Work out the population after 6 years, to the nearest whole number.
- 11th June 2010ABCD is a cyclic quadrilateral. Angle ABC is 65°. Work out angle ADC.
- 12th June 201023 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 13th June 2010A box plot has a minimum of 15 and a maximum of 48. Work out the range.
- 14th June 2010Work out (4 x 10^8) x (5 x 10^-6). Give your answer in standard form.
- 15th June 2010For the curve y = 8/x, work out y when x = 4, and write down the equation of its vertical asymptote.
- 16th June 2010A block has volume 25 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 17th June 2010A, B and C are points on a circle with centre O. Angle AOC is 160°. Work out angle ABC, where B is on the major arc.
- 18th June 20102 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 19th June 2010A box plot has minimum 15, lower quartile 24, median 27, upper quartile 29 and maximum 38. Work out the interquartile range.
- 20th June 2010Write the recurring decimal 0.7575... as a fraction in its simplest form.
- 21st June 2010Expand and simplify (x - 5)(x - 4)(x - 1).
- 22nd June 2010x : y = 5 : 9. Write y in terms of x.
- 23rd June 2010A cone has base radius 7 cm and vertical height 6 cm. Work out its volume, leaving your answer in terms of pi.
- 24th June 201018 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 25th June 2010A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 26th June 2010A bill is £648 including VAT at 20%. Work out the amount before VAT.
- 27th June 2010Make x the subject of y = 4x^2 - 11.
- 28th June 2010A price rises by 10% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 29th June 2010In triangle ABC, angle A is 61°, angle B is 55° and side a is 7 cm. Use the sine rule to work out side b, to 1 decimal place.
- 30th June 20102 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.