Daily Practice · Higher
November 2012 - Higher 5-a-day
Every Higher sheet published in November 2012, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' November 2012 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 2012
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 2012Expand and simplify (x + 2)(x - 5)(x + 4).
- 2nd November 2012y is directly proportional to x. When x = 3, y = 30. Work out y when x = 7.
- 3rd November 2012A cone has base radius 9 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
- 4th November 201226 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 5th November 2012A cumulative frequency graph is drawn for 188 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 6th November 2012A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 7th November 2012Make x the subject of y = 5x^2 - 6.
- 8th November 2012A town's population is 38500 and grows by 6% each year. Work out the population after 5 years, to the nearest whole number.
- 9th November 2012In triangle ABC, angle A is 51°, angle B is 75° and side a is 9 cm. Use the sine rule to work out side b, to 1 decimal place.
- 10th November 20122 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 11th November 2012A box plot has a minimum of 10 and a maximum of 50. Work out the range.
- 12th November 2012Work out (18 x 10^11) / (9 x 10^5). Give your answer in standard form.
- 13th November 2012Factorise x^2 - 144.
- 14th November 2012A block has volume 190 cm^3 and density 4 g/cm^3. Work out its mass.
- 15th November 2012A right-angled triangle has sides 6 cm, 8 cm and 10 cm. Work out the angle opposite the 6 cm side, to 1 decimal place.
- 16th November 201227 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 17th November 2012A box plot has minimum 14, lower quartile 20, median 26, upper quartile 35 and maximum 40. Work out the interquartile range.
- 18th November 2012Write the recurring decimal 0.222... as a fraction in its simplest form.
- 19th November 2012A region is defined by y < -x + 6. Should the boundary line be solid or dashed, and why?
- 20th November 2012x : y = 2 : 9. Write y in terms of x.
- 21st November 2012The point (-2, 0) is enlarged by scale factor -1 about the centre (-4, -3). Write down the coordinates of the image.
- 22nd November 20122 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 23rd November 2012A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 24th November 2012Work out 64^(2/3).
- 25th November 2012Factorise x^2 - 6x - 16.
- 26th November 2012A price rises by 10% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 27th November 2012Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 1216 cm^3. Work out the volume of the smaller.
- 28th November 201211 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 29th November 2012A histogram class is 10 units wide and contains 40 values. Work out the frequency density.
- 30th November 2012Write sqrt(75) in the form a sqrt(b), where b is as small as possible.