Daily Practice · Higher
May 2007 - Higher 5-a-day
Every Higher sheet published in May 2007, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' May 2007 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 2007
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 2007A meal deal has 3 mains, 9 sides and 5 drinks. How many different meals are possible?
- 2nd May 2007Make x the subject of y = 2x^2 - 3.
- 3rd May 2007A town's population is 33000 and grows by 3% each year. Work out the population after 3 years, to the nearest whole number.
- 4th May 2007In triangle ABC, angle A is 36°, angle B is 84° and side a is 12 cm. Use the sine rule to work out side b, to 1 decimal place.
- 5th May 20072 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 6th May 2007A box plot has a minimum of 3 and a maximum of 39. Work out the range.
- 7th May 2007A mass is 24.2 kg, correct to 1 decimal place. Write down the upper bound.
- 8th May 2007Factorise x^2 - 16.
- 9th May 2007A block has volume 95 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 10th May 2007A 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.
- 11th May 200722 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 12th May 2007A box plot has minimum 6, lower quartile 9, median 19, upper quartile 21 and maximum 30. Work out the interquartile range.
- 13th May 2007Write 4^-2 as a fraction.
- 14th May 2007A region is defined by y <= -2x + 1. Should the boundary line be solid or dashed, and why?
- 15th May 2007x : y = 2 : 3. Write y in terms of x.
- 16th May 2007The point (-1, 3) is enlarged by scale factor -2 about the centre (-2, 4). Write down the coordinates of the image.
- 17th May 20075 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 18th May 2007A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 19th May 2007Work out (4 x 10^4) x (2 x 10^-5). Give your answer in standard form.
- 20th May 2007Factorise x^2 - 5x + 6.
- 21st May 2007A price rises by 25% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 22nd May 2007Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 312 cm^3. Work out the volume of the smaller.
- 23rd May 200714 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 May 2007A histogram class is 2 units wide and contains 6 values. Work out the frequency density.
- 25th May 2007Write the recurring decimal 0.6767... as a fraction in its simplest form.
- 26th May 2007Work out the equation of the line parallel to y = 5x - 7 that passes through (5, 35).
- 27th May 2007y is inversely proportional to x. When x = 5, y = 72. Work out y when x = 12.
- 28th May 2007A right-angled triangle has a hypotenuse of 17 cm and one shorter side of 15 cm. Work out the other shorter side.
- 29th May 20073 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 30th May 2007Four classes in order have frequencies 9, 12, 3, 11. Write down the cumulative frequency at the end of the third class.
- 31st May 2007A bill is £768 including VAT at 20%. Work out the amount before VAT.