Daily Practice · Higher
November 2015 - Higher 5-a-day
Every Higher sheet published in November 2015, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' November 2015 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 2015
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 201513 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 2nd November 2015A cumulative frequency graph is drawn for 232 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 3rd November 2015A mass is 620 kg, correct to the nearest 10. Write down the lower bound.
- 4th November 2015For the curve y = -110/x, work out y when x = 10, and write down the equation of its vertical asymptote.
- 5th November 2015A town's population is 22500 and grows by 8% each year. Work out the population after 6 years, to the nearest whole number.
- 6th November 2015A, B and C are points on a circle with centre O. Angle AOC is 104°. Work out angle ABC, where B is on the major arc.
- 7th November 20152 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 8th November 2015A box plot has a minimum of 16 and a maximum of 70. Work out the range.
- 9th November 2015Write 7^-2 as a fraction.
- 10th November 2015Expand and simplify (x + 1)(x - 5)(x + 2).
- 11th November 2015A block has volume 55 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 12th November 2015A cone has base radius 9 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 13th November 20157 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 14th November 2015A box plot has minimum 2, lower quartile 8, median 10, upper quartile 12 and maximum 19. Work out the interquartile range.
- 15th November 2015Work out (6 x 10^5) x (8 x 10^6). Give your answer in standard form.
- 16th November 2015Make x the subject of y = 6x^2 - 10.
- 17th November 2015x : y = 4 : 7. Write y in terms of x.
- 18th November 2015In triangle ABC, angle A is 66°, angle B is 32° and side a is 5 cm. Use the sine rule to work out side b, to 1 decimal place.
- 19th November 20153 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 20th November 2015A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 21st November 2015Write the recurring decimal 0.3939... as a fraction in its simplest form.
- 22nd November 2015Factorise x^2 - 64.
- 23rd November 2015A price rises by 25% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 24th November 2015A right-angled triangle has sides 20 cm, 21 cm and 29 cm. Work out the angle opposite the 20 cm side, to 1 decimal place.
- 25th November 201515 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 26th November 2015A histogram class is 4 units wide and contains 6 values. Work out the frequency density.
- 27th November 2015A bill is £72 including VAT at 20%. Work out the amount before VAT.
- 28th November 2015A region is defined by y <= -x + 7. Should the boundary line be solid or dashed, and why?
- 29th November 2015y is inversely proportional to x. When x = 4, y = 30. Work out y when x = 10.
- 30th November 2015The point (0, 1) is enlarged by scale factor -2 about the centre (2, 4). Write down the coordinates of the image.