Daily Practice · Higher
October 2010 - Higher 5-a-day
Every Higher sheet published in October 2010, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' October 2010 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in October 2010
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st October 2010Make x the subject of y = 2x^2 - 12.
- 2nd October 2010y is directly proportional to x^2. When x = 3, y = 54. Work out y when x = 4.
- 3rd October 2010In triangle ABC, angle A is 60°, angle B is 77° and side a is 10 cm. Use the sine rule to work out side b, to 1 decimal place.
- 4th October 20103 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 5th October 201060 voles are marked and released. Later 56 are caught, of which 7 are marked. Estimate the population.
- 6th October 2010A meal deal has 6 mains, 9 sides and 3 drinks. How many different meals are possible?
- 7th October 2010Factorise x^2 - 121.
- 8th October 2010y is directly proportional to x. When x = 5, y = 10. Work out y when x = 14.
- 9th October 2010A right-angled triangle has sides 6 cm, 8 cm and 10 cm. Work out the angle opposite the 6 cm side, to 1 decimal place.
- 10th October 201018 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 11th October 2010A cumulative frequency graph is drawn for 236 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 12th October 2010A mass is 10 kg, correct to the nearest whole number. Write down the lower bound.
- 13th October 2010A region is defined by y <= -4x - 8. Should the boundary line be solid or dashed, and why?
- 14th October 2010A town's population is 37000 and grows by 4% each year. Work out the population after 6 years, to the nearest whole number.
- 15th October 2010The point (6, 1) is enlarged by scale factor -1 about the centre (0, -4). Write down the coordinates of the image.
- 16th October 20101 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 17th October 2010A box plot has a minimum of 7 and a maximum of 20. Work out the range.
- 18th October 2010Write 3^-3 as a fraction.
- 19th October 2010Factorise x^2 - 6x + 9.
- 20th October 2010A block has volume 135 cm^3 and density 8 g/cm^3. Work out its mass.
- 21st October 2010Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 240 cm^3. Work out the volume of the smaller.
- 22nd October 201025 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 23rd October 2010A box plot has minimum 1, lower quartile 4, median 10, upper quartile 20 and maximum 24. Work out the interquartile range.
- 24th October 2010Work out (2 x 10^4) x (6 x 10^-2). Give your answer in standard form.
- 25th October 2010Work out the equation of the line parallel to y = -x - 1 that passes through (2, 8).
- 26th October 2010x : y = 5 : 7. Write y in terms of x.
- 27th October 2010A right-angled triangle has a hypotenuse of 15 cm and one shorter side of 12 cm. Work out the other shorter side.
- 28th October 20104 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 29th October 2010A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 30th October 2010Write the recurring decimal 0.7575... as a fraction in its simplest form.
- 31st October 2010A line has equation y = -5x + 5. Work out the gradient of any line perpendicular to it.