Daily Practice · Higher
June 2009 - Higher 5-a-day
Every Higher sheet published in June 2009, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' June 2009 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in June 2009
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 2009A code is 2 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 2nd June 2009Expand and simplify (x + 4)(x + 3)(x - 3).
- 3rd June 2009A block has volume 35 cm^3 and density 8 g/cm^3. Work out its mass.
- 4th June 2009A cone has base radius 3 cm and vertical height 3 cm. Work out its volume, leaving your answer in terms of pi.
- 5th June 200912 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 6th June 2009A box plot has minimum 3, lower quartile 13, median 20, upper quartile 23 and maximum 25. Work out the interquartile range.
- 7th June 2009Work out (35 x 10^6) / (7 x 10^4). Give your answer in standard form.
- 8th June 2009Make x the subject of y = 9x^2 - 8.
- 9th June 2009x : y = 3 : 8. Write y in terms of x.
- 10th June 2009In triangle ABC, angle A is 67°, angle B is 68° and side a is 5 cm. Use the sine rule to work out side b, to 1 decimal place.
- 11th June 20093 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 12th June 2009A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 13th June 2009Write the recurring decimal 0.111... as a fraction in its simplest form.
- 14th June 2009Factorise x^2 - 16.
- 15th June 2009A price rises by 10% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 16th June 2009A right-angled triangle has sides 8 cm, 15 cm and 17 cm. Work out the angle opposite the 8 cm side, to 1 decimal place.
- 17th June 200912 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 18th June 2009A histogram class is 4 units wide and contains 10 values. Work out the frequency density.
- 19th June 2009Work out 216^(2/3).
- 20th June 2009A region is defined by y < 2x - 4. Should the boundary line be solid or dashed, and why?
- 21st June 2009y is inversely proportional to x. When x = 9, y = 10. Work out y when x = 5.
- 22nd June 2009The point (1, -3) is enlarged by scale factor -2 about the centre (2, 4). Write down the coordinates of the image.
- 23rd June 20091 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 24th June 2009Four classes in order have frequencies 4, 8, 3, 3. Write down the cumulative frequency at the end of the third class.
- 25th June 2009Write sqrt(50) in the form a sqrt(b), where b is as small as possible.
- 26th June 2009Factorise x^2 - 10x + 9.
- 27th June 2009y is directly proportional to x^2. When x = 6, y = 108. Work out y when x = 2.
- 28th June 2009Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 192 cm^3. Work out the volume of the smaller.
- 29th June 200922 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 30th June 200930 fish are marked and released. Later 81 are caught, of which 9 are marked. Estimate the population.