Daily Practice · Higher
June 2011 - Higher 5-a-day
Every Higher sheet published in June 2011, with answers. Grades 6-7 - Higher-tier method and manipulation.
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The batch download puts all 5 tiers' June 2011 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in June 2011
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 20114 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 2nd June 2011A histogram class is 20 units wide and contains 10 values. Work out the frequency density.
- 3rd June 2011Work out (49 x 10^10) / (7 x 10^4). Give your answer in standard form.
- 4th June 2011Factorise x^2 - 49.
- 5th June 2011y is inversely proportional to x. When x = 4, y = 36. Work out y when x = 12.
- 6th June 2011A right-angled triangle has sides 12 cm, 16 cm and 20 cm. Work out the angle opposite the 12 cm side, to 1 decimal place.
- 7th June 201124 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 8th June 2011Four classes in order have frequencies 4, 12, 3, 3. Write down the cumulative frequency at the end of the third class.
- 9th June 2011Write the recurring decimal 0.444... as a fraction in its simplest form.
- 10th June 2011A region is defined by y < -x - 7. Should the boundary line be solid or dashed, and why?
- 11th June 2011y is directly proportional to x^2. When x = 3, y = 27. Work out y when x = 2.
- 12th June 2011The point (-3, 6) is enlarged by scale factor -1 about the centre (0, 0). Write down the coordinates of the image.
- 13th June 20112 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 14th June 201135 beetles are marked and released. Later 6 are caught, of which 2 are marked. Estimate the population.
- 15th June 2011Work out 16^(3/2).
- 16th June 2011Factorise x^2 + 2x - 48.
- 17th June 2011y is directly proportional to x. When x = 6, y = 48. Work out y when x = 9.
- 18th June 2011Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 1053 cm^3. Work out the volume of the smaller.
- 19th June 201124 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 20th June 2011A cumulative frequency graph is drawn for 220 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 21st June 2011Write sqrt(72) in the form a sqrt(b), where b is as small as possible.
- 22nd June 2011Work out the equation of the line parallel to y = 5x + 3 that passes through (6, 41).
- 23rd June 2011A town's population is 28000 and grows by 8% each year. Work out the population after 4 years, to the nearest whole number.
- 24th June 2011A right-angled triangle has a hypotenuse of 25 cm and one shorter side of 7 cm. Work out the other shorter side.
- 25th June 20112 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 26th June 2011A box plot has a minimum of 2 and a maximum of 32. Work out the range.
- 27th June 2011A meal deal has 7 mains, 4 sides and 3 drinks. How many different meals are possible?
- 28th June 2011A line has equation y = -3x + 8. Work out the gradient of any line perpendicular to it.
- 29th June 2011A block has volume 200 cm^3 and density 11 g/cm^3. Work out its mass.
- 30th June 2011ABCD is a cyclic quadrilateral. Angle ABC is 72°. Work out angle ADC.