Daily Practice · Higher
October 2015 - Higher 5-a-day
Every Higher sheet published in October 2015, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' October 2015 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in October 2015
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st October 2015In triangle ABC, angle A is 53°, angle B is 85° and side a is 7 cm. Use the sine rule to work out side b, to 1 decimal place.
- 2nd October 20154 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 3rd October 2015A box plot has minimum 4, lower quartile 13, median 23, upper quartile 31 and maximum 36. Work out the interquartile range.
- 4th October 2015Work out (63 x 10^9) / (9 x 10^5). Give your answer in standard form.
- 5th October 2015Factorise x^2 - 36.
- 6th October 2015x : y = 3 : 8. Write y in terms of x.
- 7th October 2015A right-angled triangle has sides 12 cm, 16 cm and 20 cm. Work out the angle opposite the 12 cm side, to 1 decimal place.
- 8th October 201530 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 October 2015A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 10th October 2015Write the recurring decimal 0.222... as a fraction in its simplest form.
- 11th October 2015A region is defined by y < -4x + 9. Should the boundary line be solid or dashed, and why?
- 12th October 2015A price rises by 10% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 13th October 2015The point (-4, 3) is enlarged by scale factor -1 about the centre (-2, -2). Write down the coordinates of the image.
- 14th October 20154 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 15th October 2015A histogram class is 20 units wide and contains 40 values. Work out the frequency density.
- 16th October 2015Work out 125^(2/3).
- 17th October 2015Factorise x^2 - 9x + 8.
- 18th October 2015y is inversely proportional to x. When x = 6, y = 24. Work out y when x = 12.
- 19th October 2015Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 216 cm^3. Work out the volume of the smaller.
- 20th October 20159 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 21st October 2015Four classes in order have frequencies 5, 5, 6, 3. Write down the cumulative frequency at the end of the third class.
- 22nd October 2015Write sqrt(32) in the form a sqrt(b), where b is as small as possible.
- 23rd October 2015Work out the equation of the line parallel to y = -x + 6 that passes through (5, 7).
- 24th October 2015y is directly proportional to x^2. When x = 2, y = 24. Work out y when x = 6.
- 25th October 2015A right-angled triangle has a hypotenuse of 5 cm and one shorter side of 4 cm. Work out the other shorter side.
- 26th October 20152 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 27th October 201510 fish are marked and released. Later 30 are caught, of which 6 are marked. Estimate the population.
- 28th October 2015A meal deal has 7 mains, 5 sides and 5 drinks. How many different meals are possible?
- 29th October 2015A line has equation y = -2x + 2. Work out the gradient of any line perpendicular to it.
- 30th October 2015y is directly proportional to x. When x = 6, y = 36. Work out y when x = 14.
- 31st October 2015ABCD is a cyclic quadrilateral. Angle ABC is 82°. Work out angle ADC.