Daily Practice · Higher
November 2002 - Higher 5-a-day
Every Higher sheet published in November 2002, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' November 2002 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 2002
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 2002y is directly proportional to x. When x = 3, y = 9. Work out y when x = 6.
- 2nd November 2002A, B and C are points on a circle with centre O. Angle AOC is 140°. Work out angle ABC, where B is on the major arc.
- 3rd November 20026 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 4th November 2002A cumulative frequency graph is drawn for 88 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 5th November 2002Write 2^-2 as a fraction.
- 6th November 2002Expand and simplify (x + 2)(x - 1)(x - 2).
- 7th November 2002A town's population is 2000 and grows by 6% each year. Work out the population after 6 years, to the nearest whole number.
- 8th November 2002A cone has base radius 2 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 9th November 200229 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 10th November 2002A box plot has a minimum of 13 and a maximum of 40. Work out the range.
- 11th November 2002Work out (7 x 10^3) x (6 x 10^-5). Give your answer in standard form.
- 12th November 2002Make x the subject of y = 2x^2 - 6.
- 13th November 2002A block has volume 90 cm^3 and density 4 g/cm^3. Work out its mass.
- 14th November 2002In triangle ABC, angle A is 63°, angle B is 58° and side a is 13 cm. Use the sine rule to work out side b, to 1 decimal place.
- 15th November 20025 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 16th November 2002A box plot has minimum 2, lower quartile 10, median 15, upper quartile 22 and maximum 32. Work out the interquartile range.
- 17th November 2002Write the recurring decimal 0.9696... as a fraction in its simplest form.
- 18th November 2002Factorise x^2 - 25.
- 19th November 2002x : y = 2 : 5. Write y in terms of x.
- 20th November 2002A right-angled triangle has sides 10 cm, 24 cm and 26 cm. Work out the angle opposite the 10 cm side, to 1 decimal place.
- 21st November 200220 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 22nd November 2002A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 23rd November 2002A bill is £648 including VAT at 20%. Work out the amount before VAT.
- 24th November 2002A region is defined by y < x + 7. Should the boundary line be solid or dashed, and why?
- 25th November 2002A price rises by 15% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 26th November 2002The point (-3, 0) is enlarged by scale factor -3 about the centre (-2, 2). Write down the coordinates of the image.
- 27th November 20023 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 28th November 2002A histogram class is 10 units wide and contains 25 values. Work out the frequency density.
- 29th November 2002A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 30th November 2002Factorise x^2 - 11x + 24.