Daily Practice · Higher
October 2014 - Higher 5-a-day
Every Higher sheet published in October 2014, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' October 2014 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in October 2014
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st October 201422 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 2nd October 2014A histogram class is 5 units wide and contains 10 values. Work out the frequency density.
- 3rd October 2014A mass is 15.5 kg, correct to 1 decimal place. Write down the lower bound.
- 4th October 2014Work out the equation of the line parallel to y = 4x + 8 that passes through (2, 20).
- 5th October 2014y is inversely proportional to x. When x = 5, y = 10. Work out y when x = 2.
- 6th October 2014A right-angled triangle has a hypotenuse of 25 cm and one shorter side of 24 cm. Work out the other shorter side.
- 7th October 20143 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 8th October 2014Four classes in order have frequencies 9, 12, 9, 3. Write down the cumulative frequency at the end of the third class.
- 9th October 2014Write 4^-2 as a fraction.
- 10th October 2014A line has equation y = 2x + 5. Work out the gradient of any line perpendicular to it.
- 11th October 2014y is directly proportional to x^2. When x = 5, y = 225. Work out y when x = 3.
- 12th October 2014ABCD is a cyclic quadrilateral. Angle ABC is 130°. Work out angle ADC.
- 13th October 201417 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 14th October 201450 beetles are marked and released. Later 15 are caught, of which 5 are marked. Estimate the population.
- 15th October 2014Work out (6 x 10^8) x (2 x 10^-3). Give your answer in standard form.
- 16th October 2014For the curve y = 45/x, work out y when x = 5, and write down the equation of its vertical asymptote.
- 17th October 2014y is directly proportional to x. When x = 8, y = 32. Work out y when x = 2.
- 18th October 2014A, B and C are points on a circle with centre O. Angle AOC is 136°. Work out angle ABC, where B is on the major arc.
- 19th October 20141 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 20th October 2014A cumulative frequency graph is drawn for 228 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 21st October 2014Write the recurring decimal 0.9292... as a fraction in its simplest form.
- 22nd October 2014Expand and simplify (x - 3)(x - 5)(x + 4).
- 23rd October 2014A town's population is 37000 and grows by 3% each year. Work out the population after 2 years, to the nearest whole number.
- 24th October 2014A cone has base radius 8 cm and vertical height 21 cm. Work out its volume, leaving your answer in terms of pi.
- 25th October 201418 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 26th October 2014A box plot has a minimum of 12 and a maximum of 55. Work out the range.
- 27th October 2014A bill is £840 including VAT at 20%. Work out the amount before VAT.
- 28th October 2014Make x the subject of y = 5x^2 - 10.
- 29th October 2014A block has volume 20 cm^3 and density 8 g/cm^3. Work out its mass.
- 30th October 2014In triangle ABC, angle A is 51°, angle B is 45° and side a is 6 cm. Use the sine rule to work out side b, to 1 decimal place.
- 31st October 20144 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.