Daily Practice · Higher
October 2003 - Higher 5-a-day
Every Higher sheet published in October 2003, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' October 2003 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in October 2003
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st October 2003Write 5^-1 as a fraction.
- 2nd October 2003For the curve y = 9/x, work out y when x = 1, and write down the equation of its vertical asymptote.
- 3rd October 2003y is directly proportional to x. When x = 4, y = 20. Work out y when x = 5.
- 4th October 2003A, B and C are points on a circle with centre O. Angle AOC is 126°. Work out angle ABC, where B is on the major arc.
- 5th October 20031 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 6th October 2003A cumulative frequency graph is drawn for 168 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 7th October 2003Work out (9 x 10^4) x (2 x 10^2). Give your answer in standard form.
- 8th October 2003Expand and simplify (x - 1)(x + 3)(x + 3).
- 9th October 2003A town's population is 26000 and grows by 4% each year. Work out the population after 6 years, to the nearest whole number.
- 10th October 2003A cone has base radius 5 cm and vertical height 3 cm. Work out its volume, leaving your answer in terms of pi.
- 11th October 200320 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 12th October 2003A box plot has a minimum of 7 and a maximum of 47. Work out the range.
- 13th October 2003Write the recurring decimal 0.2525... as a fraction in its simplest form.
- 14th October 2003Make x the subject of y = 2x^2 - 12.
- 15th October 2003A block has volume 20 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 16th October 2003In triangle ABC, angle A is 71°, angle B is 66° and side a is 10 cm. Use the sine rule to work out side b, to 1 decimal place.
- 17th October 20033 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 18th October 2003A box plot has minimum 13, lower quartile 16, median 21, upper quartile 24 and maximum 29. Work out the interquartile range.
- 19th October 2003A bill is £504 including VAT at 20%. Work out the amount before VAT.
- 20th October 2003Factorise x^2 - 144.
- 21st October 2003x : y = 3 : 8. Write y in terms of x.
- 22nd October 2003A 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.
- 23rd October 200323 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 October 2003A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 25th October 2003A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 26th October 2003A region is defined by y <= -2x - 4. Should the boundary line be solid or dashed, and why?
- 27th October 2003A price rises by 20% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 28th October 2003The point (4, 4) is enlarged by scale factor -3 about the centre (1, -1). Write down the coordinates of the image.
- 29th October 20034 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 30th October 2003A histogram class is 5 units wide and contains 2.5 values. Work out the frequency density.
- 31st October 2003Work out (25 x 10^8) / (5 x 10^4). Give your answer in standard form.