Daily Practice · Higher
October 2000 - Higher 5-a-day
Every Higher sheet published in October 2000, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' October 2000 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in October 2000
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st October 2000A cone has base radius 8 cm and vertical height 18 cm. Work out its volume, leaving your answer in terms of pi.
- 2nd October 200023 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 3rd October 200030 voles are marked and released. Later 84 are caught, of which 7 are marked. Estimate the population.
- 4th October 2000Work out (54 x 10^7) / (6 x 10^2). Give your answer in standard form.
- 5th October 2000Make x the subject of y = 5x^2 - 8.
- 6th October 2000y is directly proportional to x. When x = 4, y = 28. Work out y when x = 3.
- 7th October 2000In triangle ABC, angle A is 80°, angle B is 47° and side a is 9 cm. Use the sine rule to work out side b, to 1 decimal place.
- 8th October 20002 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 9th October 2000A cumulative frequency graph is drawn for 156 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 10th October 2000Write the recurring decimal 0.888... as a fraction in its simplest form.
- 11th October 2000Factorise x^2 - 121.
- 12th October 2000A town's population is 20000 and grows by 5% each year. Work out the population after 5 years, to the nearest whole number.
- 13th October 2000A right-angled triangle has sides 12 cm, 16 cm and 20 cm. Work out the angle opposite the 12 cm side, to 1 decimal place.
- 14th October 200021 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 15th October 2000A box plot has a minimum of 3 and a maximum of 61. Work out the range.
- 16th October 2000Work out 27^(2/3).
- 17th October 2000A region is defined by y <= x + 3. Should the boundary line be solid or dashed, and why?
- 18th October 2000A block has volume 155 cm^3 and density 8 g/cm^3. Work out its mass.
- 19th October 2000The point (2, 6) is enlarged by scale factor -2 about the centre (3, 2). Write down the coordinates of the image.
- 20th October 20001 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 21st October 2000A box plot has minimum 11, lower quartile 20, median 22, upper quartile 26 and maximum 35. Work out the interquartile range.
- 22nd October 2000Write sqrt(75) in the form a sqrt(b), where b is as small as possible.
- 23rd October 2000Factorise x^2 - 6x - 16.
- 24th October 2000x : y = 7 : 9. Write y in terms of x.
- 25th October 2000Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 960 cm^3. Work out the volume of the smaller.
- 26th October 200019 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 27th October 2000A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 28th October 2000A meal deal has 3 mains, 5 sides and 6 drinks. How many different meals are possible?
- 29th October 2000Work out the equation of the line parallel to y = -x - 2 that passes through (2, 8).
- 30th October 2000A price rises by 20% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 31st October 2000A right-angled triangle has a hypotenuse of 17 cm and one shorter side of 15 cm. Work out the other shorter side.