Daily Practice · Higher
October 2004 - Higher 5-a-day
Every Higher sheet published in October 2004, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' October 2004 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in October 2004
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st October 2004Write the recurring decimal 0.111... as a fraction in its simplest form.
- 2nd October 2004Factorise x^2 + 13x + 36.
- 3rd October 2004y is inversely proportional to x. When x = 3, y = 10. Work out y when x = 10.
- 4th October 2004Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 1536 cm^3. Work out the volume of the smaller.
- 5th October 200422 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 6th October 2004Four classes in order have frequencies 8, 4, 12, 7. Write down the cumulative frequency at the end of the third class.
- 7th October 2004Work out 8^(2/3).
- 8th October 2004Work out the equation of the line parallel to y = -3x - 8 that passes through (6, -12).
- 9th October 2004y is directly proportional to x^2. When x = 3, y = 81. Work out y when x = 4.
- 10th October 2004A right-angled triangle has a hypotenuse of 13 cm and one shorter side of 12 cm. Work out the other shorter side.
- 11th October 20044 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 12th October 200440 beetles are marked and released. Later 40 are caught, of which 5 are marked. Estimate the population.
- 13th October 2004Write sqrt(75) in the form a sqrt(b), where b is as small as possible.
- 14th October 2004A line has equation y = -2x + 9. Work out the gradient of any line perpendicular to it.
- 15th October 2004y is directly proportional to x. When x = 3, y = 33. Work out y when x = 2.
- 16th October 2004ABCD is a cyclic quadrilateral. Angle ABC is 85°. Work out angle ADC.
- 17th October 20049 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 18th October 2004A cumulative frequency graph is drawn for 92 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 19th October 2004A meal deal has 4 mains, 9 sides and 2 drinks. How many different meals are possible?
- 20th October 2004For the curve y = 110/x, work out y when x = 10, and write down the equation of its vertical asymptote.
- 21st October 2004A town's population is 3500 and grows by 6% each year. Work out the population after 6 years, to the nearest whole number.
- 22nd October 2004A, B and C are points on a circle with centre O. Angle AOC is 94°. Work out angle ABC, where B is on the major arc.
- 23rd October 20041 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 24th October 2004A box plot has a minimum of 11 and a maximum of 68. Work out the range.
- 25th October 2004A mass is 22.8 kg, correct to 1 decimal place. Write down the upper bound.
- 26th October 2004Expand and simplify (x - 4)(x - 3)(x - 4).
- 27th October 2004A block has volume 90 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 28th October 2004A cone has base radius 5 cm and vertical height 9 cm. Work out its volume, leaving your answer in terms of pi.
- 29th October 20048 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 30th October 2004A box plot has minimum 10, lower quartile 12, median 17, upper quartile 25 and maximum 31. Work out the interquartile range.
- 31st October 2004Write 7^-3 as a fraction.