Daily Practice · Higher
May 2013 - Higher 5-a-day
Every Higher sheet published in May 2013, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' May 2013 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 2013
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 2013A block has volume 60 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 2nd May 2013ABCD is a cyclic quadrilateral. Angle ABC is 95°. Work out angle ADC.
- 3rd May 201319 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 4th May 2013A box plot has minimum 7, lower quartile 17, median 27, upper quartile 35 and maximum 45. Work out the interquartile range.
- 5th May 2013Work out (9 x 10^7) x (9 x 10^-6). Give your answer in standard form.
- 6th May 2013For the curve y = -40/x, work out y when x = 10, and write down the equation of its vertical asymptote.
- 7th May 2013x : y = 3 : 4. Write y in terms of x.
- 8th May 2013A, B and C are points on a circle with centre O. Angle AOC is 106°. Work out angle ABC, where B is on the major arc.
- 9th May 20135 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 10th May 2013A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 11th May 2013Write the recurring decimal 0.3737... as a fraction in its simplest form.
- 12th May 2013Expand and simplify (x - 1)(x + 5)(x - 1).
- 13th May 2013A price rises by 20% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 14th May 2013A cone has base radius 4 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 15th May 201328 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 16th May 2013A histogram class is 4 units wide and contains 16 values. Work out the frequency density.
- 17th May 2013A bill is £384 including VAT at 20%. Work out the amount before VAT.
- 18th May 2013Make x the subject of y = 6x^2 - 4.
- 19th May 2013y is inversely proportional to x. When x = 4, y = 10. Work out y when x = 10.
- 20th May 2013In triangle ABC, angle A is 77°, angle B is 46° and side a is 8 cm. Use the sine rule to work out side b, to 1 decimal place.
- 21st May 20136 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 22nd May 2013Four classes in order have frequencies 11, 10, 4, 5. Write down the cumulative frequency at the end of the third class.
- 23rd May 2013A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 24th May 2013Factorise x^2 - 16.
- 25th May 2013y is directly proportional to x^2. When x = 3, y = 72. Work out y when x = 5.
- 26th May 2013A right-angled triangle has sides 10 cm, 24 cm and 26 cm. Work out the angle opposite the 10 cm side, to 1 decimal place.
- 27th May 201319 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 28th May 201345 fish are marked and released. Later 27 are caught, of which 3 are marked. Estimate the population.
- 29th May 2013Work out (72 x 10^7) / (9 x 10^5). Give your answer in standard form.
- 30th May 2013A region is defined by y <= -x - 2. Should the boundary line be solid or dashed, and why?
- 31st May 2013y is directly proportional to x. When x = 9, y = 18. Work out y when x = 11.