Daily Practice · Higher
July 2010 - Higher 5-a-day
Every Higher sheet published in July 2010, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' July 2010 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in July 2010
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st July 2010A histogram class is 2 units wide and contains 8 values. Work out the frequency density.
- 2nd July 2010A code is 2 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 3rd July 2010Factorise x^2 - 36.
- 4th July 2010y is inversely proportional to x. When x = 2, y = 9. Work out y when x = 3.
- 5th July 2010A right-angled triangle has sides 6 cm, 8 cm and 10 cm. Work out the angle opposite the 6 cm side, to 1 decimal place.
- 6th July 201027 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 7th July 2010Four classes in order have frequencies 8, 5, 6, 12. Write down the cumulative frequency at the end of the third class.
- 8th July 2010Work out (10 x 10^7) / (2 x 10^5). Give your answer in standard form.
- 9th July 2010A region is defined by y < -3x + 8. Should the boundary line be solid or dashed, and why?
- 10th July 2010y is directly proportional to x^2. When x = 2, y = 16. Work out y when x = 9.
- 11th July 2010The point (1, 4) is enlarged by scale factor -2 about the centre (-4, 2). Write down the coordinates of the image.
- 12th July 20106 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 13th July 201015 beetles are marked and released. Later 32 are caught, of which 8 are marked. Estimate the population.
- 14th July 2010Write the recurring decimal 0.888... as a fraction in its simplest form.
- 15th July 2010Factorise x^2 - 1.
- 16th July 2010y is directly proportional to x. When x = 7, y = 56. Work out y when x = 14.
- 17th July 2010Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 702 cm^3. Work out the volume of the smaller.
- 18th July 201025 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 19th July 2010A cumulative frequency graph is drawn for 44 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 20th July 2010Work out 49^(3/2).
- 21st July 2010Work out the equation of the line parallel to y = 5x - 6 that passes through (6, 19).
- 22nd July 2010A town's population is 39500 and grows by 8% each year. Work out the population after 4 years, to the nearest whole number.
- 23rd July 2010A right-angled triangle has a hypotenuse of 5 cm and one shorter side of 3 cm. Work out the other shorter side.
- 24th July 20105 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 25th July 2010A box plot has a minimum of 16 and a maximum of 28. Work out the range.
- 26th July 2010Write sqrt(50) in the form a sqrt(b), where b is as small as possible.
- 27th July 2010A line has equation y = -4x + 7. Work out the gradient of any line perpendicular to it.
- 28th July 2010A block has volume 135 cm^3 and density 3 g/cm^3. Work out its mass.
- 29th July 2010ABCD is a cyclic quadrilateral. Angle ABC is 108°. Work out angle ADC.
- 30th July 201022 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 31st July 2010A box plot has minimum 9, lower quartile 11, median 14, upper quartile 24 and maximum 31. Work out the interquartile range.