Daily Practice · Higher
November 2009 - Higher 5-a-day
Every Higher sheet published in November 2009, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' November 2009 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 2009
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 2009In triangle ABC, angle A is 44°, angle B is 81° and side a is 8 cm. Use the sine rule to work out side b, to 1 decimal place.
- 2nd November 20094 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 3rd November 200950 newts are marked and released. Later 60 are caught, of which 6 are marked. Estimate the population.
- 4th November 2009Write sqrt(20) in the form a sqrt(b), where b is as small as possible.
- 5th November 2009Factorise x^2 - 9.
- 6th November 2009y is directly proportional to x. When x = 5, y = 20. Work out y when x = 11.
- 7th November 2009A right-angled triangle has sides 9 cm, 12 cm and 15 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
- 8th November 200920 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 9th November 2009A cumulative frequency graph is drawn for 192 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 10th November 2009A meal deal has 8 mains, 8 sides and 3 drinks. How many different meals are possible?
- 11th November 2009A region is defined by y < -3x + 4. Should the boundary line be solid or dashed, and why?
- 12th November 2009A town's population is 2500 and grows by 8% each year. Work out the population after 6 years, to the nearest whole number.
- 13th November 2009The point (-1, 2) is enlarged by scale factor -1 about the centre (4, 4). Write down the coordinates of the image.
- 14th November 20093 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 15th November 2009A box plot has a minimum of 19 and a maximum of 29. Work out the range.
- 16th November 2009A mass is 28.6 kg, correct to 1 decimal place. Write down the lower bound.
- 17th November 2009Factorise x^2 - 5x - 24.
- 18th November 2009A block has volume 95 cm^3 and density 11 g/cm^3. Work out its mass.
- 19th November 2009Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 2048 cm^3. Work out the volume of the smaller.
- 20th November 200919 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 21st November 2009A box plot has minimum 2, lower quartile 4, median 7, upper quartile 15 and maximum 19. Work out the interquartile range.
- 22nd November 2009Write 8^-3 as a fraction.
- 23rd November 2009Work out the equation of the line parallel to y = -x + 5 that passes through (6, -18).
- 24th November 2009x : y = 5 : 8. Write y in terms of x.
- 25th November 2009A right-angled triangle has a hypotenuse of 13 cm and one shorter side of 12 cm. Work out the other shorter side.
- 26th November 20093 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 27th November 2009A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 28th November 2009Work out (6 x 10^3) x (6 x 10^3). Give your answer in standard form.
- 29th November 2009A line has equation y = -3x + 3. Work out the gradient of any line perpendicular to it.
- 30th November 2009A price rises by 20% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.