Daily Practice · Higher
December 2014 - Higher 5-a-day
Every Higher sheet published in December 2014, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' December 2014 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in December 2014
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st December 2014A cumulative frequency graph is drawn for 132 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 2nd December 2014A meal deal has 5 mains, 3 sides and 5 drinks. How many different meals are possible?
- 3rd December 2014For the curve y = 10/x, work out y when x = 2, and write down the equation of its vertical asymptote.
- 4th December 2014A town's population is 12000 and grows by 6% each year. Work out the population after 6 years, to the nearest whole number.
- 5th December 2014A, B and C are points on a circle with centre O. Angle AOC is 84°. Work out angle ABC, where B is on the major arc.
- 6th December 20145 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 7th December 2014A box plot has a minimum of 6 and a maximum of 55. Work out the range.
- 8th December 2014A mass is 38 kg, correct to the nearest whole number. Write down the lower bound.
- 9th December 2014Expand and simplify (x + 5)(x + 2)(x - 3).
- 10th December 2014A block has volume 120 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 11th December 2014A cone has base radius 3 cm and vertical height 18 cm. Work out its volume, leaving your answer in terms of pi.
- 12th December 201421 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 13th December 2014A box plot has minimum 15, lower quartile 23, median 27, upper quartile 37 and maximum 39. Work out the interquartile range.
- 14th December 2014Write 4^-1 as a fraction.
- 15th December 2014Make x the subject of y = 5x^2 - 3.
- 16th December 2014x : y = 3 : 7. Write y in terms of x.
- 17th December 2014In triangle ABC, angle A is 47°, angle B is 43° and side a is 5 cm. Use the sine rule to work out side b, to 1 decimal place.
- 18th December 20145 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 19th December 2014A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 20th December 2014Work out (2 x 10^5) x (4 x 10^3). Give your answer in standard form.
- 21st December 2014Factorise x^2 - 4.
- 22nd December 2014A price rises by 15% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 23rd December 2014A right-angled triangle has sides 9 cm, 12 cm and 15 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
- 24th December 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.
- 25th December 2014A histogram class is 20 units wide and contains 60 values. Work out the frequency density.
- 26th December 2014Write the recurring decimal 0.3333... as a fraction in its simplest form.
- 27th December 2014A region is defined by y <= -3x - 7. Should the boundary line be solid or dashed, and why?
- 28th December 2014y is inversely proportional to x. When x = 6, y = 5. Work out y when x = 5.
- 29th December 2014The point (-6, 4) is enlarged by scale factor -2 about the centre (1, 0). Write down the coordinates of the image.
- 30th December 20144 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 31st December 2014Four classes in order have frequencies 8, 3, 5, 6. Write down the cumulative frequency at the end of the third class.