Daily Practice · Higher
September 2014 - Higher 5-a-day
Every Higher sheet published in September 2014, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' September 2014 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in September 2014
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 20142 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 2nd September 201415 newts are marked and released. Later 15 are caught, of which 3 are marked. Estimate the population.
- 3rd September 2014Work out (14 x 10^7) / (7 x 10^5). Give your answer in standard form.
- 4th September 2014Expand and simplify (x + 1)(x + 3)(x + 3).
- 5th September 2014y is directly proportional to x. When x = 4, y = 40. Work out y when x = 9.
- 6th September 2014A cone has base radius 8 cm and vertical height 12 cm. Work out its volume, leaving your answer in terms of pi.
- 7th September 201427 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 8th September 2014A cumulative frequency graph is drawn for 220 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 9th September 2014Write the recurring decimal 0.222... as a fraction in its simplest form.
- 10th September 2014Make x the subject of y = 5x^2 - 10.
- 11th September 2014A town's population is 34000 and grows by 3% each year. Work out the population after 6 years, to the nearest whole number.
- 12th September 2014In triangle ABC, angle A is 76°, angle B is 67° and side a is 9 cm. Use the sine rule to work out side b, to 1 decimal place.
- 13th September 20145 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 14th September 2014A box plot has a minimum of 7 and a maximum of 43. Work out the range.
- 15th September 2014Work out 49^(3/2).
- 16th September 2014Factorise x^2 - 64.
- 17th September 2014A block has volume 120 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 18th September 2014A right-angled triangle has sides 8 cm, 15 cm and 17 cm. Work out the angle opposite the 8 cm side, to 1 decimal place.
- 19th September 201412 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 20th September 2014A box plot has minimum 5, lower quartile 10, median 18, upper quartile 20 and maximum 24. Work out the interquartile range.
- 21st September 2014Write sqrt(32) in the form a sqrt(b), where b is as small as possible.
- 22nd September 2014A region is defined by y < 4x + 3. Should the boundary line be solid or dashed, and why?
- 23rd September 2014x : y = 3 : 7. Write y in terms of x.
- 24th September 2014The point (-4, 3) is enlarged by scale factor -3 about the centre (3, 3). Write down the coordinates of the image.
- 25th September 20142 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 26th September 2014A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 27th September 2014A meal deal has 9 mains, 6 sides and 4 drinks. How many different meals are possible?
- 28th September 2014Factorise x^2 + 10x + 16.
- 29th September 2014A price rises by 20% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 30th September 2014Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 256 cm^3. Work out the volume of the smaller.