Daily Practice · Higher
May 2005 - Higher 5-a-day
Every Higher sheet published in May 2005, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' May 2005 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 2005
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 2005y is inversely proportional to x. When x = 8, y = 8. Work out y when x = 4.
- 2nd May 2005A, B and C are points on a circle with centre O. Angle AOC is 134°. Work out angle ABC, where B is on the major arc.
- 3rd May 20053 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 4th May 2005Four classes in order have frequencies 11, 6, 8, 4. Write down the cumulative frequency at the end of the third class.
- 5th May 2005A meal deal has 8 mains, 5 sides and 4 drinks. How many different meals are possible?
- 6th May 2005Expand and simplify (x - 4)(x - 1)(x - 1).
- 7th May 2005y is directly proportional to x^2. When x = 2, y = 20. Work out y when x = 7.
- 8th May 2005A cone has base radius 2 cm and vertical height 12 cm. Work out its volume, leaving your answer in terms of pi.
- 9th May 200526 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 10th May 200555 fish are marked and released. Later 10 are caught, of which 2 are marked. Estimate the population.
- 11th May 2005A mass is 16.4 kg, correct to 1 decimal place. Write down the lower bound.
- 12th May 2005Make x the subject of y = 9x^2 - 8.
- 13th May 2005y is directly proportional to x. When x = 3, y = 12. Work out y when x = 9.
- 14th May 2005In triangle ABC, angle A is 47°, angle B is 34° and side a is 12 cm. Use the sine rule to work out side b, to 1 decimal place.
- 15th May 20051 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 16th May 2005A cumulative frequency graph is drawn for 240 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 17th May 2005Write 6^-3 as a fraction.
- 18th May 2005Factorise x^2 - 144.
- 19th May 2005A town's population is 30000 and grows by 4% each year. Work out the population after 5 years, to the nearest whole number.
- 20th May 2005A right-angled triangle has sides 5 cm, 12 cm and 13 cm. Work out the angle opposite the 5 cm side, to 1 decimal place.
- 21st May 200512 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 22nd May 2005A box plot has a minimum of 9 and a maximum of 44. Work out the range.
- 23rd May 2005Work out (6 x 10^4) x (7 x 10^-6). Give your answer in standard form.
- 24th May 2005A region is defined by y <= -2x - 6. Should the boundary line be solid or dashed, and why?
- 25th May 2005A block has volume 10 cm^3 and density 8 g/cm^3. Work out its mass.
- 26th May 2005The point (2, 5) is enlarged by scale factor -2 about the centre (1, 0). Write down the coordinates of the image.
- 27th May 20051 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 28th May 2005A box plot has minimum 9, lower quartile 13, median 19, upper quartile 22 and maximum 25. Work out the interquartile range.
- 29th May 2005Write the recurring decimal 0.3131... as a fraction in its simplest form.
- 30th May 2005Factorise x^2 - x - 6.
- 31st May 2005x : y = 3 : 5. Write y in terms of x.