Daily Practice · Higher
January 2015 - Higher 5-a-day
Every Higher sheet published in January 2015, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' January 2015 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in January 2015
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st January 2015A bill is £768 including VAT at 20%. Work out the amount before VAT.
- 2nd January 2015Factorise x^2 - 3x - 28.
- 3rd January 2015y is directly proportional to x^2. When x = 3, y = 36. Work out y when x = 7.
- 4th January 2015Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 2240 cm^3. Work out the volume of the smaller.
- 5th January 201517 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 6th January 201520 beetles are marked and released. Later 42 are caught, of which 6 are marked. Estimate the population.
- 7th January 2015A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 8th January 2015Work out the equation of the line parallel to y = -x - 9 that passes through (1, -10).
- 9th January 2015y is directly proportional to x. When x = 8, y = 40. Work out y when x = 6.
- 10th January 2015A right-angled triangle has a hypotenuse of 10 cm and one shorter side of 8 cm. Work out the other shorter side.
- 11th January 20156 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 12th January 2015A cumulative frequency graph is drawn for 228 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 13th January 2015Work out (10 x 10^11) / (5 x 10^5). Give your answer in standard form.
- 14th January 2015A line has equation y = -5x + 4. Work out the gradient of any line perpendicular to it.
- 15th January 2015A town's population is 28000 and grows by 6% each year. Work out the population after 4 years, to the nearest whole number.
- 16th January 2015ABCD is a cyclic quadrilateral. Angle ABC is 116°. Work out angle ADC.
- 17th January 201520 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 18th January 2015A box plot has a minimum of 18 and a maximum of 70. Work out the range.
- 19th January 2015Write the recurring decimal 0.444... as a fraction in its simplest form.
- 20th January 2015For the curve y = -12/x, work out y when x = -1, and write down the equation of its vertical asymptote.
- 21st January 2015A block has volume 80 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 22nd January 2015A, B and C are points on a circle with centre O. Angle AOC is 124°. Work out angle ABC, where B is on the major arc.
- 23rd January 20153 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 24th January 2015A box plot has minimum 4, lower quartile 8, median 15, upper quartile 17 and maximum 27. Work out the interquartile range.
- 25th January 2015Work out 81^(3/2).
- 26th January 2015Expand and simplify (x - 3)(x + 4)(x + 4).
- 27th January 2015x : y = 3 : 4. Write y in terms of x.
- 28th January 2015A cone has base radius 6 cm and vertical height 9 cm. Work out its volume, leaving your answer in terms of pi.
- 29th January 201522 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 30th January 2015A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 31st January 2015Write sqrt(75) in the form a sqrt(b), where b is as small as possible.