Daily Practice · Higher
October 2012 - Higher 5-a-day
Every Higher sheet published in October 2012, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' October 2012 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in October 2012
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st October 2012A meal deal has 4 mains, 8 sides and 2 drinks. How many different meals are possible?
- 2nd October 2012A region is defined by y < 3x - 4. Should the boundary line be solid or dashed, and why?
- 3rd October 2012A block has volume 200 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 4th October 2012The point (-1, -2) is enlarged by scale factor -2 about the centre (-1, -2). Write down the coordinates of the image.
- 5th October 20122 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 6th October 2012A box plot has minimum 4, lower quartile 7, median 17, upper quartile 22 and maximum 27. Work out the interquartile range.
- 7th October 2012A mass is 140 kg, correct to the nearest 10. Write down the lower bound.
- 8th October 2012Factorise x^2 + x - 20.
- 9th October 2012x : y = 5 : 6. Write y in terms of x.
- 10th October 2012Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 675 cm^3. Work out the volume of the smaller.
- 11th October 201212 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 12th October 2012A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 13th October 2012Write 2^-3 as a fraction.
- 14th October 2012Work out the equation of the line parallel to y = -2x + 5 that passes through (2, 0).
- 15th October 2012A price rises by 15% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 16th October 2012A right-angled triangle has a hypotenuse of 41 cm and one shorter side of 9 cm. Work out the other shorter side.
- 17th October 20128 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 18th October 2012A histogram class is 5 units wide and contains 10 values. Work out the frequency density.
- 19th October 2012Work out (9 x 10^3) x (3 x 10^6). Give your answer in standard form.
- 20th October 2012A line has equation y = -4x + 8. Work out the gradient of any line perpendicular to it.
- 21st October 2012y is inversely proportional to x. When x = 9, y = 18. Work out y when x = 6.
- 22nd October 2012ABCD is a cyclic quadrilateral. Angle ABC is 122°. Work out angle ADC.
- 23rd October 20129 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 2012Four classes in order have frequencies 5, 12, 5, 9. Write down the cumulative frequency at the end of the third class.
- 25th October 2012Write the recurring decimal 0.5858... as a fraction in its simplest form.
- 26th October 2012For the curve y = -14/x, work out y when x = -2, and write down the equation of its vertical asymptote.
- 27th October 2012y is directly proportional to x^2. When x = 2, y = 8. Work out y when x = 5.
- 28th October 2012A, B and C are points on a circle with centre O. Angle AOC is 98°. Work out angle ABC, where B is on the major arc.
- 29th October 20124 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 30th October 201255 beetles are marked and released. Later 77 are caught, of which 7 are marked. Estimate the population.
- 31st October 2012A bill is £528 including VAT at 20%. Work out the amount before VAT.