Daily Practice · Higher
January 2014 - Higher 5-a-day
Every Higher sheet published in January 2014, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' January 2014 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in January 2014
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st January 2014For the curve y = 8/x, work out y when x = 2, and write down the equation of its vertical asymptote.
- 2nd January 2014A town's population is 27500 and grows by 4% each year. Work out the population after 2 years, to the nearest whole number.
- 3rd January 2014A, B and C are points on a circle with centre O. Angle AOC is 132°. Work out angle ABC, where B is on the major arc.
- 4th January 20141 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 5th January 2014A box plot has a minimum of 15 and a maximum of 25. Work out the range.
- 6th January 2014A meal deal has 5 mains, 5 sides and 5 drinks. How many different meals are possible?
- 7th January 2014Expand and simplify (x + 4)(x - 4)(x - 4).
- 8th January 2014A block has volume 45 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 9th January 2014A cone has base radius 6 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 10th January 201418 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 11th January 2014A box plot has minimum 11, lower quartile 21, median 31, upper quartile 40 and maximum 45. Work out the interquartile range.
- 12th January 2014A mass is 260 kg, correct to the nearest 10. Write down the lower bound.
- 13th January 2014Make x the subject of y = 2x^2 - 7.
- 14th January 2014x : y = 4 : 7. Write y in terms of x.
- 15th January 2014In triangle ABC, angle A is 53°, angle B is 79° and side a is 8 cm. Use the sine rule to work out side b, to 1 decimal place.
- 16th January 20142 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 17th January 2014A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 18th January 2014Write 8^-1 as a fraction.
- 19th January 2014Factorise x^2 - 4.
- 20th January 2014A price rises by 20% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 21st January 2014A right-angled triangle has sides 6 cm, 8 cm and 10 cm. Work out the angle opposite the 6 cm side, to 1 decimal place.
- 22nd January 201422 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 23rd January 2014A histogram class is 20 units wide and contains 30 values. Work out the frequency density.
- 24th January 2014Work out (4 x 10^8) x (8 x 10^-5). Give your answer in standard form.
- 25th January 2014A region is defined by y < -3x + 7. Should the boundary line be solid or dashed, and why?
- 26th January 2014y is inversely proportional to x. When x = 9, y = 25. Work out y when x = 5.
- 27th January 2014The point (1, -4) is enlarged by scale factor -1 about the centre (2, 4). Write down the coordinates of the image.
- 28th January 20147 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 29th January 2014Four classes in order have frequencies 11, 4, 7, 6. Write down the cumulative frequency at the end of the third class.
- 30th January 2014Write the recurring decimal 0.3131... as a fraction in its simplest form.
- 31st January 2014Factorise x^2 - 6x - 16.