Daily Practice · Higher
March 2015 - Higher 5-a-day
Every Higher sheet published in March 2015, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' March 2015 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 2015
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 2015A box plot has a minimum of 7 and a maximum of 34. Work out the range.
- 2nd March 2015Write the recurring decimal 0.6060... as a fraction in its simplest form.
- 3rd March 2015A line has equation y = -4x + 5. Work out the gradient of any line perpendicular to it.
- 4th March 2015A block has volume 175 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 5th March 2015ABCD is a cyclic quadrilateral. Angle ABC is 103°. Work out angle ADC.
- 6th March 201518 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 7th March 2015A box plot has minimum 2, lower quartile 10, median 14, upper quartile 22 and maximum 26. Work out the interquartile range.
- 8th March 2015A bill is £576 including VAT at 20%. Work out the amount before VAT.
- 9th March 2015For the curve y = 2/x, work out y when x = 2, and write down the equation of its vertical asymptote.
- 10th March 2015x : y = 3 : 7. Write y in terms of x.
- 11th March 2015A, B and C are points on a circle with centre O. Angle AOC is 160°. Work out angle ABC, where B is on the major arc.
- 12th March 20151 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 13th March 2015A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 14th March 2015A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 15th March 2015Expand and simplify (x + 2)(x - 5)(x + 2).
- 16th March 2015A price rises by 15% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 17th March 2015A cone has base radius 2 cm and vertical height 9 cm. Work out its volume, leaving your answer in terms of pi.
- 18th March 201515 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 19th March 2015A histogram class is 10 units wide and contains 30 values. Work out the frequency density.
- 20th March 2015Work out (48 x 10^6) / (8 x 10^4). Give your answer in standard form.
- 21st March 2015Make x the subject of y = 3x^2 - 6.
- 22nd March 2015y is inversely proportional to x. When x = 6, y = 36. Work out y when x = 12.
- 23rd March 2015In triangle ABC, angle A is 46°, angle B is 87° and side a is 19 cm. Use the sine rule to work out side b, to 1 decimal place.
- 24th March 20157 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 25th March 2015Four classes in order have frequencies 3, 4, 5, 8. Write down the cumulative frequency at the end of the third class.
- 26th March 2015Write the recurring decimal 0.666... as a fraction in its simplest form.
- 27th March 2015Factorise x^2 - 16.
- 28th March 2015y is directly proportional to x^2. When x = 3, y = 27. Work out y when x = 8.
- 29th March 2015A right-angled triangle has sides 9 cm, 40 cm and 41 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
- 30th March 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.
- 31st March 201555 newts are marked and released. Later 32 are caught, of which 4 are marked. Estimate the population.