Daily Practice · Higher
May 2012 - Higher 5-a-day
Every Higher sheet published in May 2012, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' May 2012 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 2012
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 2012In triangle ABC, angle A is 66°, angle B is 54° and side a is 6 cm. Use the sine rule to work out side b, to 1 decimal place.
- 2nd May 20128 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 3rd May 2012A histogram class is 10 units wide and contains 25 values. Work out the frequency density.
- 4th May 2012Write the recurring decimal 0.222... as a fraction in its simplest form.
- 5th May 2012Factorise x^2 - 9.
- 6th May 2012y is inversely proportional to x. When x = 9, y = 12. Work out y when x = 3.
- 7th May 2012A 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.
- 8th May 201225 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 9th May 2012Four classes in order have frequencies 8, 7, 12, 6. Write down the cumulative frequency at the end of the third class.
- 10th May 2012Work out 100^(3/2).
- 11th May 2012A region is defined by y < 4x - 1. Should the boundary line be solid or dashed, and why?
- 12th May 2012y is directly proportional to x^2. When x = 2, y = 20. Work out y when x = 6.
- 13th May 2012The point (2, -3) is enlarged by scale factor -3 about the centre (-2, 4). Write down the coordinates of the image.
- 14th May 20121 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 15th May 201250 voles are marked and released. Later 54 are caught, of which 6 are marked. Estimate the population.
- 16th May 2012Write sqrt(20) in the form a sqrt(b), where b is as small as possible.
- 17th May 2012Factorise x^2 - 10x + 24.
- 18th May 2012y is directly proportional to x. When x = 5, y = 30. Work out y when x = 11.
- 19th May 2012Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 1664 cm^3. Work out the volume of the smaller.
- 20th May 201224 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 21st May 2012A cumulative frequency graph is drawn for 56 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 22nd May 2012A meal deal has 3 mains, 3 sides and 6 drinks. How many different meals are possible?
- 23rd May 2012Work out the equation of the line parallel to y = -2x + 8 that passes through (6, -1).
- 24th May 2012A town's population is 17500 and grows by 4% each year. Work out the population after 4 years, to the nearest whole number.
- 25th May 2012A right-angled triangle has a hypotenuse of 5 cm and one shorter side of 4 cm. Work out the other shorter side.
- 26th May 20125 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 27th May 2012A box plot has a minimum of 9 and a maximum of 51. Work out the range.
- 28th May 2012A mass is 70 kg, correct to the nearest whole number. Write down the upper bound.
- 29th May 2012A line has equation y = 4x + 7. Work out the gradient of any line perpendicular to it.
- 30th May 2012A block has volume 135 cm^3 and density 11 g/cm^3. Work out its mass.
- 31st May 2012ABCD is a cyclic quadrilateral. Angle ABC is 111°. Work out angle ADC.