Daily Practice · Higher
October 2001 - Higher 5-a-day
Every Higher sheet published in October 2001, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' October 2001 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in October 2001
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st October 2001A price rises by 10% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 2nd October 2001A right-angled triangle has a hypotenuse of 5 cm and one shorter side of 3 cm. Work out the other shorter side.
- 3rd October 20011 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 4th October 2001A histogram class is 10 units wide and contains 15 values. Work out the frequency density.
- 5th October 2001Write 2^-1 as a fraction.
- 6th October 2001A line has equation y = 4x + 3. Work out the gradient of any line perpendicular to it.
- 7th October 2001y is inversely proportional to x. When x = 7, y = 12. Work out y when x = 6.
- 8th October 2001ABCD is a cyclic quadrilateral. Angle ABC is 54°. Work out angle ADC.
- 9th October 200122 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 10th October 2001Four classes in order have frequencies 9, 12, 12, 4. Write down the cumulative frequency at the end of the third class.
- 11th October 2001Work out (5 x 10^6) x (5 x 10^-2). Give your answer in standard form.
- 12th October 2001For the curve y = 40/x, work out y when x = 5, and write down the equation of its vertical asymptote.
- 13th October 2001y is directly proportional to x^2. When x = 6, y = 324. Work out y when x = 7.
- 14th October 2001A, B and C are points on a circle with centre O. Angle AOC is 66°. Work out angle ABC, where B is on the major arc.
- 15th October 20012 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 16th October 200125 beetles are marked and released. Later 60 are caught, of which 5 are marked. Estimate the population.
- 17th October 2001Write the recurring decimal 0.7373... as a fraction in its simplest form.
- 18th October 2001Expand and simplify (x - 4)(x + 1)(x - 5).
- 19th October 2001y is directly proportional to x. When x = 6, y = 30. Work out y when x = 7.
- 20th October 2001A cone has base radius 5 cm and vertical height 18 cm. Work out its volume, leaving your answer in terms of pi.
- 21st October 200128 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 22nd October 2001A cumulative frequency graph is drawn for 236 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 23rd October 2001A bill is £864 including VAT at 20%. Work out the amount before VAT.
- 24th October 2001Make x the subject of y = 2x^2 - 7.
- 25th October 2001A town's population is 26500 and grows by 3% each year. Work out the population after 2 years, to the nearest whole number.
- 26th October 2001In triangle ABC, angle A is 47°, angle B is 71° and side a is 6 cm. Use the sine rule to work out side b, to 1 decimal place.
- 27th October 20013 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 28th October 2001A box plot has a minimum of 2 and a maximum of 12. Work out the range.
- 29th October 2001A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 30th October 2001Factorise x^2 - 64.
- 31st October 2001A block has volume 85 cm^3 and density 3 g/cm^3. Work out its mass.