Daily Practice · Higher
October 2005 - Higher 5-a-day
Every Higher sheet published in October 2005, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' October 2005 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in October 2005
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st October 2005A box plot has minimum 8, lower quartile 10, median 14, upper quartile 24 and maximum 33. Work out the interquartile range.
- 2nd October 2005Work out (8 x 10^7) x (7 x 10^5). Give your answer in standard form.
- 3rd October 2005Make x the subject of y = 2x^2 - 9.
- 4th October 2005x : y = 2 : 3. Write y in terms of x.
- 5th October 2005In triangle ABC, angle A is 64°, angle B is 49° and side a is 10 cm. Use the sine rule to work out side b, to 1 decimal place.
- 6th October 20051 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 7th October 2005A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 8th October 2005Write the recurring decimal 0.6262... as a fraction in its simplest form.
- 9th October 2005Factorise x^2 - 9.
- 10th October 2005A price rises by 20% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 11th October 2005A right-angled triangle has sides 20 cm, 21 cm and 29 cm. Work out the angle opposite the 20 cm side, to 1 decimal place.
- 12th October 20059 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 13th October 2005A histogram class is 4 units wide and contains 6 values. Work out the frequency density.
- 14th October 2005A bill is £264 including VAT at 20%. Work out the amount before VAT.
- 15th October 2005A region is defined by y < 3x + 6. Should the boundary line be solid or dashed, and why?
- 16th October 2005y is inversely proportional to x. When x = 5, y = 9. Work out y when x = 3.
- 17th October 2005The point (3, 0) is enlarged by scale factor -2 about the centre (-3, 1). Write down the coordinates of the image.
- 18th October 20054 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 19th October 2005Four classes in order have frequencies 11, 4, 5, 6. Write down the cumulative frequency at the end of the third class.
- 20th October 2005A code is 2 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 21st October 2005Factorise x^2 + 4x - 5.
- 22nd October 2005y is directly proportional to x^2. When x = 5, y = 125. Work out y when x = 4.
- 23rd October 2005Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 88 cm^3. Work out the volume of the smaller.
- 24th October 200520 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 25th October 200550 voles are marked and released. Later 12 are caught, of which 3 are marked. Estimate the population.
- 26th October 2005Work out (40 x 10^12) / (5 x 10^3). Give your answer in standard form.
- 27th October 2005Work out the equation of the line parallel to y = -x - 6 that passes through (4, -1).
- 28th October 2005y is directly proportional to x. When x = 9, y = 99. Work out y when x = 5.
- 29th October 2005A right-angled triangle has a hypotenuse of 13 cm and one shorter side of 12 cm. Work out the other shorter side.
- 30th October 20054 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 31st October 2005A cumulative frequency graph is drawn for 84 values. What cumulative frequency do you read across from to estimate the lower quartile?