Daily Practice · Higher
May 2001 - Higher 5-a-day
Every Higher sheet published in May 2001, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' May 2001 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 2001
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 200135 beetles are marked and released. Later 24 are caught, of which 6 are marked. Estimate the population.
- 2nd May 2001Work out 81^(3/2).
- 3rd May 2001Factorise x^2 + 7x + 10.
- 4th May 2001y is directly proportional to x. When x = 4, y = 20. Work out y when x = 13.
- 5th May 2001Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 120 cm^3. Work out the volume of the smaller.
- 6th May 200118 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 7th May 2001A cumulative frequency graph is drawn for 52 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 8th May 2001Write sqrt(75) in the form a sqrt(b), where b is as small as possible.
- 9th May 2001Work out the equation of the line parallel to y = 2x - 9 that passes through (1, -5).
- 10th May 2001A town's population is 21500 and grows by 5% each year. Work out the population after 4 years, to the nearest whole number.
- 11th May 2001A right-angled triangle has a hypotenuse of 10 cm and one shorter side of 8 cm. Work out the other shorter side.
- 12th May 20013 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 13th May 2001A box plot has a minimum of 11 and a maximum of 51. Work out the range.
- 14th May 2001A meal deal has 4 mains, 9 sides and 3 drinks. How many different meals are possible?
- 15th May 2001A line has equation y = 4x + 2. Work out the gradient of any line perpendicular to it.
- 16th May 2001A block has volume 70 cm^3 and density 3 g/cm^3. Work out its mass.
- 17th May 2001ABCD is a cyclic quadrilateral. Angle ABC is 106°. Work out angle ADC.
- 18th May 200116 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 19th May 2001A box plot has minimum 2, lower quartile 7, median 17, upper quartile 19 and maximum 25. Work out the interquartile range.
- 20th May 2001A mass is 720 kg, correct to the nearest 10. Write down the lower bound.
- 21st May 2001For the curve y = 10/x, work out y when x = -5, and write down the equation of its vertical asymptote.
- 22nd May 2001x : y = 4 : 7. Write y in terms of x.
- 23rd May 2001A, B and C are points on a circle with centre O. Angle AOC is 136°. Work out angle ABC, where B is on the major arc.
- 24th May 20017 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 25th May 2001A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 26th May 2001Write 5^-1 as a fraction.
- 27th May 2001Expand and simplify (x + 2)(x + 5)(x - 4).
- 28th May 2001A price rises by 20% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 29th May 2001A cone has base radius 9 cm and vertical height 9 cm. Work out its volume, leaving your answer in terms of pi.
- 30th May 200121 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 May 2001A histogram class is 20 units wide and contains 60 values. Work out the frequency density.