Daily Practice · Higher
February 2005 - Higher 5-a-day
Every Higher sheet published in February 2005, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' February 2005 sheets in a single PDF, each tier behind its own divider page - 140 sheets in one file.
Every sheet in February 2005
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 2005A cone has base radius 8 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
- 2nd February 200522 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 3rd February 2005A histogram class is 5 units wide and contains 10 values. Work out the frequency density.
- 4th February 2005Work out (8 x 10^11) / (4 x 10^4). Give your answer in standard form.
- 5th February 2005Make x the subject of y = 5x^2 - 2.
- 6th February 2005y is inversely proportional to x. When x = 9, y = 30. Work out y when x = 5.
- 7th February 2005In triangle ABC, angle A is 33°, angle B is 60° and side a is 18 cm. Use the sine rule to work out side b, to 1 decimal place.
- 8th February 20054 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 9th February 2005Four classes in order have frequencies 5, 7, 8, 12. Write down the cumulative frequency at the end of the third class.
- 10th February 2005Write the recurring decimal 0.888... as a fraction in its simplest form.
- 11th February 2005Factorise x^2 - 9.
- 12th February 2005y is directly proportional to x^2. When x = 6, y = 252. Work out y when x = 9.
- 13th February 2005A right-angled triangle has sides 12 cm, 16 cm and 20 cm. Work out the angle opposite the 12 cm side, to 1 decimal place.
- 14th February 200514 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 15th February 200520 voles are marked and released. Later 56 are caught, of which 8 are marked. Estimate the population.
- 16th February 2005Work out 27^(2/3).
- 17th February 2005A region is defined by y <= -x + 9. Should the boundary line be solid or dashed, and why?
- 18th February 2005y is directly proportional to x. When x = 8, y = 48. Work out y when x = 6.
- 19th February 2005The point (6, 5) is enlarged by scale factor -3 about the centre (4, -2). Write down the coordinates of the image.
- 20th February 20053 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 21st February 2005A cumulative frequency graph is drawn for 112 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 22nd February 2005Write sqrt(27) in the form a sqrt(b), where b is as small as possible.
- 23rd February 2005Factorise x^2 - x - 56.
- 24th February 2005A town's population is 21000 and grows by 6% each year. Work out the population after 3 years, to the nearest whole number.
- 25th February 2005Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 48 cm^3. Work out the volume of the smaller.
- 26th February 200532 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 27th February 2005A box plot has a minimum of 12 and a maximum of 68. Work out the range.
- 28th February 2005A meal deal has 9 mains, 9 sides and 3 drinks. How many different meals are possible?