Daily Practice · Higher
December 2001 - Higher 5-a-day
Every Higher sheet published in December 2001, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' December 2001 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in December 2001
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st December 2001A, B and C are points on a circle with centre O. Angle AOC is 174°. Work out angle ABC, where B is on the major arc.
- 2nd December 20012 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 3rd December 2001A cumulative frequency graph is drawn for 160 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 4th December 2001A mass is 39 kg, correct to the nearest whole number. Write down the lower bound.
- 5th December 2001Expand and simplify (x + 2)(x - 1)(x - 5).
- 6th December 2001A town's population is 15000 and grows by 6% each year. Work out the population after 5 years, to the nearest whole number.
- 7th December 2001A cone has base radius 5 cm and vertical height 6 cm. Work out its volume, leaving your answer in terms of pi.
- 8th December 200125 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 9th December 2001A box plot has a minimum of 17 and a maximum of 43. Work out the range.
- 10th December 2001Write 7^-1 as a fraction.
- 11th December 2001Make x the subject of y = 9x^2 - 9.
- 12th December 2001A block has volume 195 cm^3 and density 11 g/cm^3. Work out its mass.
- 13th December 2001In triangle ABC, angle A is 37°, angle B is 39° and side a is 8 cm. Use the sine rule to work out side b, to 1 decimal place.
- 14th December 20011 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 15th December 2001A box plot has minimum 8, lower quartile 16, median 23, upper quartile 30 and maximum 40. Work out the interquartile range.
- 16th December 2001Work out (5 x 10^4) x (8 x 10^-2). Give your answer in standard form.
- 17th December 2001Factorise x^2 - 9.
- 18th December 2001x : y = 3 : 5. Write y in terms of x.
- 19th December 2001A right-angled triangle has sides 9 cm, 40 cm and 41 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
- 20th December 200111 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 21st December 2001A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 22nd December 2001Write the recurring decimal 0.5050... as a fraction in its simplest form.
- 23rd December 2001A region is defined by y <= -3x - 4. Should the boundary line be solid or dashed, and why?
- 24th December 2001A price rises by 15% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 25th December 2001The point (1, -4) is enlarged by scale factor -1 about the centre (-2, 1). Write down the coordinates of the image.
- 26th December 20011 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 27th December 2001A histogram class is 10 units wide and contains 40 values. Work out the frequency density.
- 28th December 2001A bill is £240 including VAT at 20%. Work out the amount before VAT.
- 29th December 2001Factorise x^2 - 3x - 4.
- 30th December 2001y is inversely proportional to x. When x = 9, y = 6. Work out y when x = 3.
- 31st December 2001Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 304 cm^3. Work out the volume of the smaller.