Daily Practice · Higher
January 2017 - Higher 5-a-day
Every Higher sheet published in January 2017, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' January 2017 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in January 2017
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st January 2017A box plot has a minimum of 11 and a maximum of 65. Work out the range.
- 2nd January 2017A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 3rd January 2017A line has equation y = -5x + 9. Work out the gradient of any line perpendicular to it.
- 4th January 2017A block has volume 10 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 5th January 2017ABCD is a cyclic quadrilateral. Angle ABC is 77°. Work out angle ADC.
- 6th January 201721 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 7th January 2017A box plot has minimum 1, lower quartile 10, median 13, upper quartile 17 and maximum 24. Work out the interquartile range.
- 8th January 2017Work out (32 x 10^6) / (4 x 10^4). Give your answer in standard form.
- 9th January 2017For the curve y = -2/x, work out y when x = 1, and write down the equation of its vertical asymptote.
- 10th January 2017x : y = 2 : 5. Write y in terms of x.
- 11th January 2017A, B and C are points on a circle with centre O. Angle AOC is 174°. Work out angle ABC, where B is on the major arc.
- 12th January 20171 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 13th January 2017A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 14th January 2017Write the recurring decimal 0.444... as a fraction in its simplest form.
- 15th January 2017Expand and simplify (x - 1)(x + 1)(x - 2).
- 16th January 2017A price rises by 25% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 17th January 2017A cone has base radius 8 cm and vertical height 3 cm. Work out its volume, leaving your answer in terms of pi.
- 18th January 201718 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 19th January 2017A histogram class is 4 units wide and contains 16 values. Work out the frequency density.
- 20th January 2017Work out 64^(2/3).
- 21st January 2017Make x the subject of y = 4x^2 - 9.
- 22nd January 2017y is inversely proportional to x. When x = 9, y = 12. Work out y when x = 6.
- 23rd January 2017In triangle ABC, angle A is 39°, angle B is 83° and side a is 17 cm. Use the sine rule to work out side b, to 1 decimal place.
- 24th January 20171 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 25th January 2017Four classes in order have frequencies 12, 3, 4, 3. Write down the cumulative frequency at the end of the third class.
- 26th January 2017Write sqrt(98) in the form a sqrt(b), where b is as small as possible.
- 27th January 2017Factorise x^2 - 9.
- 28th January 2017y is directly proportional to x^2. When x = 3, y = 63. Work out y when x = 4.
- 29th January 2017A 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.
- 30th January 201719 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 31st January 201715 fish are marked and released. Later 25 are caught, of which 5 are marked. Estimate the population.