Daily Practice · Higher
July 2009 - Higher 5-a-day
Every Higher sheet published in July 2009, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' July 2009 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in July 2009
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st July 2009A meal deal has 7 mains, 7 sides and 4 drinks. How many different meals are possible?
- 2nd July 2009Work out the equation of the line parallel to y = 3x - 5 that passes through (2, 9).
- 3rd July 2009y is directly proportional to x. When x = 3, y = 18. Work out y when x = 11.
- 4th July 2009A right-angled triangle has a hypotenuse of 20 cm and one shorter side of 16 cm. Work out the other shorter side.
- 5th July 20096 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 6th July 2009A cumulative frequency graph is drawn for 116 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 7th July 2009A mass is 21.3 kg, correct to 1 decimal place. Write down the lower bound.
- 8th July 2009A line has equation y = -4x + 3. Work out the gradient of any line perpendicular to it.
- 9th July 2009A town's population is 25500 and grows by 6% each year. Work out the population after 5 years, to the nearest whole number.
- 10th July 2009ABCD is a cyclic quadrilateral. Angle ABC is 115°. Work out angle ADC.
- 11th July 200910 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 12th July 2009A box plot has a minimum of 3 and a maximum of 40. Work out the range.
- 13th July 2009Write 8^-2 as a fraction.
- 14th July 2009For the curve y = -8/x, work out y when x = 4, and write down the equation of its vertical asymptote.
- 15th July 2009A block has volume 130 cm^3 and density 4 g/cm^3. Work out its mass.
- 16th July 2009A, B and C are points on a circle with centre O. Angle AOC is 112°. Work out angle ABC, where B is on the major arc.
- 17th July 20091 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 18th July 2009A box plot has minimum 12, lower quartile 15, median 24, upper quartile 29 and maximum 35. Work out the interquartile range.
- 19th July 2009Work out (5 x 10^8) x (4 x 10^4). Give your answer in standard form.
- 20th July 2009Expand and simplify (x + 3)(x - 1)(x - 1).
- 21st July 2009x : y = 4 : 9. Write y in terms of x.
- 22nd July 2009A cone has base radius 9 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
- 23rd July 200927 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 24th July 2009A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 25th July 2009Write the recurring decimal 0.8888... as a fraction in its simplest form.
- 26th July 2009Make x the subject of y = 2x^2 - 12.
- 27th July 2009A price rises by 15% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 28th July 2009In triangle ABC, angle A is 73°, angle B is 54° and side a is 18 cm. Use the sine rule to work out side b, to 1 decimal place.
- 29th July 20094 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 30th July 2009A histogram class is 20 units wide and contains 40 values. Work out the frequency density.
- 31st July 2009A bill is £216 including VAT at 20%. Work out the amount before VAT.