Daily Practice · Higher
September 2001 - Higher 5-a-day
Every Higher sheet published in September 2001, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' September 2001 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in September 2001
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 2001y is directly proportional to x^2. When x = 4, y = 96. Work out y when x = 5.
- 2nd September 2001A cone has base radius 7 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
- 3rd September 200121 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 4th September 200115 beetles are marked and released. Later 32 are caught, of which 4 are marked. Estimate the population.
- 5th September 2001Write the recurring decimal 0.333... as a fraction in its simplest form.
- 6th September 2001Make x the subject of y = 4x^2 - 2.
- 7th September 2001y is directly proportional to x. When x = 3, y = 15. Work out y when x = 15.
- 8th September 2001In triangle ABC, angle A is 45°, angle B is 89° and side a is 17 cm. Use the sine rule to work out side b, to 1 decimal place.
- 9th September 20012 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 10th September 2001A cumulative frequency graph is drawn for 112 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 11th September 2001Work out 49^(3/2).
- 12th September 2001Factorise x^2 - 64.
- 13th September 2001A town's population is 35000 and grows by 8% each year. Work out the population after 4 years, to the nearest whole number.
- 14th September 2001A right-angled triangle has sides 7 cm, 24 cm and 25 cm. Work out the angle opposite the 7 cm side, to 1 decimal place.
- 15th September 200127 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 16th September 2001A box plot has a minimum of 8 and a maximum of 47. Work out the range.
- 17th September 2001Write sqrt(27) in the form a sqrt(b), where b is as small as possible.
- 18th September 2001A region is defined by y < -5x + 6. Should the boundary line be solid or dashed, and why?
- 19th September 2001A block has volume 115 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 20th September 2001The point (2, -1) is enlarged by scale factor -1 about the centre (-2, 4). Write down the coordinates of the image.
- 21st September 20012 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 22nd September 2001A box plot has minimum 4, lower quartile 7, median 12, upper quartile 20 and maximum 22. Work out the interquartile range.
- 23rd September 2001A meal deal has 3 mains, 9 sides and 4 drinks. How many different meals are possible?
- 24th September 2001Factorise x^2 - 5x - 24.
- 25th September 2001x : y = 2 : 3. Write y in terms of x.
- 26th September 2001Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 945 cm^3. Work out the volume of the smaller.
- 27th September 200124 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 28th September 2001A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 29th September 2001A mass is 7.5 kg, correct to 1 decimal place. Write down the lower bound.
- 30th September 2001Work out the equation of the line parallel to y = 2x + 1 that passes through (5, -1).