Daily Practice · Higher
November 2003 - Higher 5-a-day
Every Higher sheet published in November 2003, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' November 2003 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 2003
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 2003Factorise x^2 - 10x + 16.
- 2nd November 2003y is inversely proportional to x. When x = 3, y = 50. Work out y when x = 10.
- 3rd November 2003Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 160 cm^3. Work out the volume of the smaller.
- 4th November 200328 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 5th November 2003Four classes in order have frequencies 10, 10, 12, 11. Write down the cumulative frequency at the end of the third class.
- 6th November 2003Write the recurring decimal 0.555... as a fraction in its simplest form.
- 7th November 2003Work out the equation of the line parallel to y = 5x + 2 that passes through (1, 16).
- 8th November 2003y is directly proportional to x^2. When x = 6, y = 288. Work out y when x = 5.
- 9th November 2003A right-angled triangle has a hypotenuse of 5 cm and one shorter side of 3 cm. Work out the other shorter side.
- 10th November 20034 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 11th November 200360 fish are marked and released. Later 24 are caught, of which 4 are marked. Estimate the population.
- 12th November 2003Work out 49^(3/2).
- 13th November 2003A line has equation y = 5x + 6. Work out the gradient of any line perpendicular to it.
- 14th November 2003y is directly proportional to x. When x = 9, y = 27. Work out y when x = 8.
- 15th November 2003ABCD is a cyclic quadrilateral. Angle ABC is 128°. Work out angle ADC.
- 16th November 20038 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 17th November 2003A cumulative frequency graph is drawn for 192 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 18th November 2003Write sqrt(98) in the form a sqrt(b), where b is as small as possible.
- 19th November 2003For the curve y = -8/x, work out y when x = -1, and write down the equation of its vertical asymptote.
- 20th November 2003A town's population is 17500 and grows by 5% each year. Work out the population after 6 years, to the nearest whole number.
- 21st November 2003A, B and C are points on a circle with centre O. Angle AOC is 104°. Work out angle ABC, where B is on the major arc.
- 22nd November 20032 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 23rd November 2003A box plot has a minimum of 2 and a maximum of 26. Work out the range.
- 24th November 2003A meal deal has 7 mains, 7 sides and 3 drinks. How many different meals are possible?
- 25th November 2003Expand and simplify (x + 1)(x - 4)(x - 1).
- 26th November 2003A block has volume 65 cm^3 and density 11 g/cm^3. Work out its mass.
- 27th November 2003A cone has base radius 4 cm and vertical height 6 cm. Work out its volume, leaving your answer in terms of pi.
- 28th November 20037 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 29th November 2003A box plot has minimum 6, lower quartile 12, median 16, upper quartile 19 and maximum 23. Work out the interquartile range.
- 30th November 2003A mass is 590 kg, correct to the nearest 10. Write down the lower bound.