Daily Practice · Higher
October 2013 - Higher 5-a-day
Every Higher sheet published in October 2013, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' October 2013 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in October 2013
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st October 201325 fish are marked and released. Later 42 are caught, of which 6 are marked. Estimate the population.
- 2nd October 2013A code is 2 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 3rd October 2013Expand and simplify (x - 5)(x - 3)(x - 2).
- 4th October 2013y is directly proportional to x. When x = 3, y = 21. Work out y when x = 2.
- 5th October 2013A cone has base radius 5 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
- 6th October 201319 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 7th October 2013A cumulative frequency graph is drawn for 200 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 8th October 2013Work out (18 x 10^11) / (3 x 10^2). Give your answer in standard form.
- 9th October 2013Make x the subject of y = 6x^2 - 6.
- 10th October 2013A town's population is 15500 and grows by 8% each year. Work out the population after 4 years, to the nearest whole number.
- 11th October 2013In triangle ABC, angle A is 47°, angle B is 40° and side a is 10 cm. Use the sine rule to work out side b, to 1 decimal place.
- 12th October 20131 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 13th October 2013A box plot has a minimum of 6 and a maximum of 60. Work out the range.
- 14th October 2013Write the recurring decimal 0.555... as a fraction in its simplest form.
- 15th October 2013Factorise x^2 - 9.
- 16th October 2013A block has volume 145 cm^3 and density 8 g/cm^3. Work out its mass.
- 17th October 2013A 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.
- 18th October 201328 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 19th October 2013A box plot has minimum 3, lower quartile 13, median 19, upper quartile 22 and maximum 25. Work out the interquartile range.
- 20th October 2013Work out 81^(3/2).
- 21st October 2013A region is defined by y < -5x - 3. Should the boundary line be solid or dashed, and why?
- 22nd October 2013x : y = 2 : 9. Write y in terms of x.
- 23rd October 2013The point (-6, 3) is enlarged by scale factor -1 about the centre (1, 2). Write down the coordinates of the image.
- 24th October 20132 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 25th October 2013A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 26th October 2013Write sqrt(12) in the form a sqrt(b), where b is as small as possible.
- 27th October 2013Factorise x^2 - 2x - 63.
- 28th October 2013A price rises by 15% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 29th October 2013Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 56 cm^3. Work out the volume of the smaller.
- 30th October 201322 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 31st October 2013A histogram class is 4 units wide and contains 16 values. Work out the frequency density.