Daily Practice · Higher
July 2012 - Higher 5-a-day
Every Higher sheet published in July 2012, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' July 2012 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in July 2012
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st July 20124 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 2nd July 2012A cumulative frequency graph is drawn for 64 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 3rd July 2012Work out (40 x 10^10) / (8 x 10^4). Give your answer in standard form.
- 4th July 2012Factorise x^2 + 5x + 4.
- 5th July 2012A town's population is 24500 and grows by 8% each year. Work out the population after 4 years, to the nearest whole number.
- 6th July 2012Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 1728 cm^3. Work out the volume of the smaller.
- 7th July 201211 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 8th July 2012A box plot has a minimum of 4 and a maximum of 45. Work out the range.
- 9th July 2012Write the recurring decimal 0.888... as a fraction in its simplest form.
- 10th July 2012Work out the equation of the line parallel to y = 3x + 2 that passes through (3, 15).
- 11th July 2012A block has volume 85 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 12th July 2012A right-angled triangle has a hypotenuse of 41 cm and one shorter side of 9 cm. Work out the other shorter side.
- 13th July 20121 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 14th July 2012A box plot has minimum 5, lower quartile 9, median 12, upper quartile 15 and maximum 20. Work out the interquartile range.
- 15th July 2012Work out 81^(3/2).
- 16th July 2012A line has equation y = -5x + 8. Work out the gradient of any line perpendicular to it.
- 17th July 2012x : y = 2 : 5. Write y in terms of x.
- 18th July 2012ABCD is a cyclic quadrilateral. Angle ABC is 105°. Work out angle ADC.
- 19th July 201214 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 20th July 2012A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 21st July 2012Write sqrt(32) in the form a sqrt(b), where b is as small as possible.
- 22nd July 2012For the curve y = -16/x, work out y when x = 4, and write down the equation of its vertical asymptote.
- 23rd July 2012A price rises by 20% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 24th July 2012A, B and C are points on a circle with centre O. Angle AOC is 92°. Work out angle ABC, where B is on the major arc.
- 25th July 20122 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 26th July 2012A histogram class is 10 units wide and contains 5 values. Work out the frequency density.
- 27th July 2012A meal deal has 4 mains, 6 sides and 3 drinks. How many different meals are possible?
- 28th July 2012Expand and simplify (x - 3)(x - 5)(x - 1).
- 29th July 2012y is inversely proportional to x. When x = 4, y = 10. Work out y when x = 2.
- 30th July 2012A cone has base radius 6 cm and vertical height 9 cm. Work out its volume, leaving your answer in terms of pi.
- 31st July 201213 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.