Daily Practice · Higher
January 2009 - Higher 5-a-day
Every Higher sheet published in January 2009, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' January 2009 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in January 2009
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st January 2009A histogram class is 5 units wide and contains 7.5 values. Work out the frequency density.
- 2nd January 2009Work out (3 x 10^8) x (8 x 10^-5). Give your answer in standard form.
- 3rd January 2009For the curve y = 4/x, work out y when x = -1, and write down the equation of its vertical asymptote.
- 4th January 2009y is inversely proportional to x. When x = 6, y = 12. Work out y when x = 4.
- 5th January 2009A, B and C are points on a circle with centre O. Angle AOC is 168°. Work out angle ABC, where B is on the major arc.
- 6th January 20091 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 7th January 2009Four classes in order have frequencies 3, 10, 10, 8. Write down the cumulative frequency at the end of the third class.
- 8th January 2009Write the recurring decimal 0.9595... as a fraction in its simplest form.
- 9th January 2009Expand and simplify (x - 5)(x + 1)(x - 2).
- 10th January 2009y is directly proportional to x^2. When x = 4, y = 128. Work out y when x = 7.
- 11th January 2009A cone has base radius 8 cm and vertical height 6 cm. Work out its volume, leaving your answer in terms of pi.
- 12th January 200913 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 13th January 200925 newts are marked and released. Later 45 are caught, of which 5 are marked. Estimate the population.
- 14th January 2009A bill is £408 including VAT at 20%. Work out the amount before VAT.
- 15th January 2009Make x the subject of y = 7x^2 - 12.
- 16th January 2009y is directly proportional to x. When x = 4, y = 8. Work out y when x = 7.
- 17th January 2009In triangle ABC, angle A is 52°, angle B is 38° and side a is 7 cm. Use the sine rule to work out side b, to 1 decimal place.
- 18th January 20094 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 19th January 2009A cumulative frequency graph is drawn for 80 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 20th January 2009A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 21st January 2009Factorise x^2 - 16.
- 22nd January 2009A town's population is 4500 and grows by 4% each year. Work out the population after 4 years, to the nearest whole number.
- 23rd January 2009A right-angled triangle has sides 5 cm, 12 cm and 13 cm. Work out the angle opposite the 5 cm side, to 1 decimal place.
- 24th January 200926 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 25th January 2009A box plot has a minimum of 13 and a maximum of 25. Work out the range.
- 26th January 2009Work out (12 x 10^11) / (2 x 10^4). Give your answer in standard form.
- 27th January 2009A region is defined by y <= -x - 9. Should the boundary line be solid or dashed, and why?
- 28th January 2009A block has volume 165 cm^3 and density 4 g/cm^3. Work out its mass.
- 29th January 2009The point (-1, 0) is enlarged by scale factor -2 about the centre (-3, 0). Write down the coordinates of the image.
- 30th January 20093 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 31st January 2009A box plot has minimum 6, lower quartile 10, median 15, upper quartile 24 and maximum 30. Work out the interquartile range.