Daily Practice · Higher
January 2018 - Higher 5-a-day
Every Higher sheet published in January 2018, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' January 2018 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in January 2018
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st January 201824 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 2nd January 201850 beetles are marked and released. Later 48 are caught, of which 8 are marked. Estimate the population.
- 3rd January 2018A mass is 16.1 kg, correct to 1 decimal place. Write down the lower bound.
- 4th January 2018A region is defined by y <= -2x + 3. Should the boundary line be solid or dashed, and why?
- 5th January 2018y is directly proportional to x. When x = 9, y = 81. Work out y when x = 12.
- 6th January 2018The point (5, 2) is enlarged by scale factor -3 about the centre (0, 1). Write down the coordinates of the image.
- 7th January 20182 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 8th January 2018A cumulative frequency graph is drawn for 192 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 9th January 2018Write 5^-2 as a fraction.
- 10th January 2018Factorise x^2 - 9x + 20.
- 11th January 2018A town's population is 19000 and grows by 5% each year. Work out the population after 6 years, to the nearest whole number.
- 12th January 2018Two 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.
- 13th January 20188 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 January 2018A box plot has a minimum of 2 and a maximum of 12. Work out the range.
- 15th January 2018Work out (3 x 10^7) x (7 x 10^-5). Give your answer in standard form.
- 16th January 2018Work out the equation of the line parallel to y = x + 4 that passes through (5, 14).
- 17th January 2018A block has volume 150 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 18th January 2018A right-angled triangle has a hypotenuse of 41 cm and one shorter side of 9 cm. Work out the other shorter side.
- 19th January 20184 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 20th January 2018A box plot has minimum 12, lower quartile 16, median 25, upper quartile 33 and maximum 42. Work out the interquartile range.
- 21st January 2018Write the recurring decimal 0.7979... as a fraction in its simplest form.
- 22nd January 2018A line has equation y = 5x + 3. Work out the gradient of any line perpendicular to it.
- 23rd January 2018x : y = 3 : 8. Write y in terms of x.
- 24th January 2018ABCD is a cyclic quadrilateral. Angle ABC is 112°. Work out angle ADC.
- 25th January 201813 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 26th January 2018A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 27th January 2018A bill is £744 including VAT at 20%. Work out the amount before VAT.
- 28th January 2018For the curve y = -22/x, work out y when x = 2, and write down the equation of its vertical asymptote.
- 29th January 2018A price rises by 10% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 30th January 2018A, B and C are points on a circle with centre O. Angle AOC is 56°. Work out angle ABC, where B is on the major arc.
- 31st January 20184 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.