Daily Practice · Higher
October 2016 - Higher 5-a-day
Every Higher sheet published in October 2016, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' October 2016 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in October 2016
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st October 2016ABCD is a cyclic quadrilateral. Angle ABC is 111°. Work out angle ADC.
- 2nd October 201613 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 3rd October 2016A cumulative frequency graph is drawn for 40 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 4th October 2016Write 7^-1 as a fraction.
- 5th October 2016For the curve y = -100/x, work out y when x = -10, and write down the equation of its vertical asymptote.
- 6th October 2016A town's population is 29000 and grows by 8% each year. Work out the population after 4 years, to the nearest whole number.
- 7th October 2016A, B and C are points on a circle with centre O. Angle AOC is 120°. Work out angle ABC, where B is on the major arc.
- 8th October 20165 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 9th October 2016A box plot has a minimum of 16 and a maximum of 53. Work out the range.
- 10th October 2016Work out (7 x 10^8) x (8 x 10^5). Give your answer in standard form.
- 11th October 2016Expand and simplify (x - 5)(x - 3)(x - 5).
- 12th October 2016A block has volume 130 cm^3 and density 11 g/cm^3. Work out its mass.
- 13th October 2016A cone has base radius 4 cm and vertical height 6 cm. Work out its volume, leaving your answer in terms of pi.
- 14th October 201611 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 15th October 2016A box plot has minimum 12, lower quartile 18, median 22, upper quartile 31 and maximum 34. Work out the interquartile range.
- 16th October 2016Write the recurring decimal 0.9595... as a fraction in its simplest form.
- 17th October 2016Make x the subject of y = 3x^2 - 2.
- 18th October 2016x : y = 2 : 3. Write y in terms of x.
- 19th October 2016In triangle ABC, angle A is 62°, angle B is 70° and side a is 14 cm. Use the sine rule to work out side b, to 1 decimal place.
- 20th October 20162 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 21st October 2016A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 22nd October 2016A bill is £528 including VAT at 20%. Work out the amount before VAT.
- 23rd October 2016Factorise x^2 - 81.
- 24th October 2016A price rises by 10% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 25th October 2016A 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.
- 26th October 201621 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 27th October 2016A histogram class is 2 units wide and contains 3 values. Work out the frequency density.
- 28th October 2016A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 29th October 2016A region is defined by y <= 2x + 4. Should the boundary line be solid or dashed, and why?
- 30th October 2016y is inversely proportional to x. When x = 8, y = 24. Work out y when x = 12.
- 31st October 2016The point (-2, 0) is enlarged by scale factor -3 about the centre (0, -2). Write down the coordinates of the image.