Daily Practice · Higher
February 2008 - Higher 5-a-day
Every Higher sheet published in February 2008, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' February 2008 sheets in a single PDF, each tier behind its own divider page - 145 sheets in one file.
Every sheet in February 2008
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 2008Write 3^-3 as a fraction.
- 2nd February 2008For the curve y = 3/x, work out y when x = 1, and write down the equation of its vertical asymptote.
- 3rd February 2008y is inversely proportional to x. When x = 5, y = 12. Work out y when x = 6.
- 4th February 2008A, B and C are points on a circle with centre O. Angle AOC is 48°. Work out angle ABC, where B is on the major arc.
- 5th February 20083 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 6th February 2008Four classes in order have frequencies 4, 9, 10, 5. Write down the cumulative frequency at the end of the third class.
- 7th February 2008Work out (6 x 10^4) x (8 x 10^-6). Give your answer in standard form.
- 8th February 2008Expand and simplify (x + 4)(x - 5)(x + 4).
- 9th February 2008y is directly proportional to x^2. When x = 5, y = 225. Work out y when x = 9.
- 10th February 2008A cone has base radius 7 cm and vertical height 18 cm. Work out its volume, leaving your answer in terms of pi.
- 11th February 200821 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 February 200860 voles are marked and released. Later 20 are caught, of which 5 are marked. Estimate the population.
- 13th February 2008Write the recurring decimal 0.8787... as a fraction in its simplest form.
- 14th February 2008Make x the subject of y = 8x^2 - 5.
- 15th February 2008y is directly proportional to x. When x = 7, y = 14. Work out y when x = 11.
- 16th February 2008In triangle ABC, angle A is 61°, angle B is 44° and side a is 18 cm. Use the sine rule to work out side b, to 1 decimal place.
- 17th February 20082 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 18th February 2008A cumulative frequency graph is drawn for 228 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 19th February 2008A bill is £816 including VAT at 20%. Work out the amount before VAT.
- 20th February 2008Factorise x^2 - 100.
- 21st February 2008A town's population is 21000 and grows by 4% each year. Work out the population after 6 years, to the nearest whole number.
- 22nd February 2008A right-angled triangle has sides 3 cm, 4 cm and 5 cm. Work out the angle opposite the 3 cm side, to 1 decimal place.
- 23rd February 200815 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 24th February 2008A box plot has a minimum of 13 and a maximum of 62. Work out the range.
- 25th February 2008A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 26th February 2008A region is defined by y < x + 8. Should the boundary line be solid or dashed, and why?
- 27th February 2008A block has volume 115 cm^3 and density 4 g/cm^3. Work out its mass.
- 28th February 2008The point (3, -5) is enlarged by scale factor -1 about the centre (0, 4). Write down the coordinates of the image.
- 29th February 20081 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.