Daily Practice · Higher
May 2000 - Higher 5-a-day
Every Higher sheet published in May 2000, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' May 2000 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 2000
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 2000Work out (3 x 10^7) x (6 x 10^-6). Give your answer in standard form.
- 2nd May 2000For the curve y = 8/x, work out y when x = -2, and write down the equation of its vertical asymptote.
- 3rd May 2000A block has volume 115 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 4th May 2000A, B and C are points on a circle with centre O. Angle AOC is 44°. Work out angle ABC, where B is on the major arc.
- 5th May 20002 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 6th May 2000A box plot has minimum 11, lower quartile 21, median 28, upper quartile 33 and maximum 38. Work out the interquartile range.
- 7th May 2000Write the recurring decimal 0.5757... as a fraction in its simplest form.
- 8th May 2000Expand and simplify (x + 5)(x - 3)(x - 4).
- 9th May 2000x : y = 4 : 7. Write y in terms of x.
- 10th May 2000A cone has base radius 5 cm and vertical height 3 cm. Work out its volume, leaving your answer in terms of pi.
- 11th May 200023 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 12th May 2000A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 13th May 2000A bill is £264 including VAT at 20%. Work out the amount before VAT.
- 14th May 2000Make x the subject of y = 9x^2 - 3.
- 15th May 2000A price rises by 25% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 16th May 2000In triangle ABC, angle A is 79°, angle B is 43° and side a is 14 cm. Use the sine rule to work out side b, to 1 decimal place.
- 17th May 20001 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 18th May 2000A histogram class is 4 units wide and contains 8 values. Work out the frequency density.
- 19th May 2000A code is 2 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 20th May 2000Factorise x^2 - 121.
- 21st May 2000y is inversely proportional to x. When x = 2, y = 16. Work out y when x = 4.
- 22nd May 2000A right-angled triangle has sides 7 cm, 24 cm and 25 cm. Work out the angle opposite the 7 cm side, to 1 decimal place.
- 23rd May 200015 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 24th May 2000Four classes in order have frequencies 3, 10, 12, 7. Write down the cumulative frequency at the end of the third class.
- 25th May 2000Work out (54 x 10^8) / (6 x 10^4). Give your answer in standard form.
- 26th May 2000A region is defined by y < -4x + 5. Should the boundary line be solid or dashed, and why?
- 27th May 2000y is directly proportional to x^2. When x = 5, y = 150. Work out y when x = 6.
- 28th May 2000The point (4, -2) is enlarged by scale factor -2 about the centre (1, 2). Write down the coordinates of the image.
- 29th May 20005 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 30th May 200045 newts are marked and released. Later 20 are caught, of which 5 are marked. Estimate the population.
- 31st May 2000Write the recurring decimal 0.666... as a fraction in its simplest form.