Daily Practice · Higher
January 2004 - Higher 5-a-day
Every Higher sheet published in January 2004, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' January 2004 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in January 2004
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st January 2004A town's population is 13500 and grows by 8% each year. Work out the population after 4 years, to the nearest whole number.
- 2nd January 2004ABCD is a cyclic quadrilateral. Angle ABC is 72°. Work out angle ADC.
- 3rd January 200413 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 4th January 2004A box plot has a minimum of 9 and a maximum of 48. Work out the range.
- 5th January 2004Work out (24 x 10^6) / (6 x 10^5). Give your answer in standard form.
- 6th January 2004For the curve y = 28/x, work out y when x = -4, and write down the equation of its vertical asymptote.
- 7th January 2004A block has volume 165 cm^3 and density 8 g/cm^3. Work out its mass.
- 8th January 2004A, B and C are points on a circle with centre O. Angle AOC is 170°. Work out angle ABC, where B is on the major arc.
- 9th January 20041 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 10th January 2004A box plot has minimum 9, lower quartile 11, median 20, upper quartile 26 and maximum 36. Work out the interquartile range.
- 11th January 2004Write the recurring decimal 0.222... as a fraction in its simplest form.
- 12th January 2004Expand and simplify (x - 3)(x - 5)(x - 1).
- 13th January 2004x : y = 2 : 5. Write y in terms of x.
- 14th January 2004A cone has base radius 8 cm and vertical height 12 cm. Work out its volume, leaving your answer in terms of pi.
- 15th January 200412 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 16th January 2004A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 17th January 2004Work out 81^(3/2).
- 18th January 2004Make x the subject of y = 5x^2 - 11.
- 19th January 2004A price rises by 15% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 20th January 2004In triangle ABC, angle A is 34°, angle B is 43° and side a is 18 cm. Use the sine rule to work out side b, to 1 decimal place.
- 21st January 20044 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 22nd January 2004A histogram class is 5 units wide and contains 7.5 values. Work out the frequency density.
- 23rd January 2004Write sqrt(48) in the form a sqrt(b), where b is as small as possible.
- 24th January 2004Factorise x^2 - 9.
- 25th January 2004y is inversely proportional to x. When x = 3, y = 30. Work out y when x = 6.
- 26th January 2004A 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.
- 27th January 200414 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 28th January 2004Four classes in order have frequencies 7, 5, 10, 5. Write down the cumulative frequency at the end of the third class.
- 29th January 2004A meal deal has 4 mains, 3 sides and 2 drinks. How many different meals are possible?
- 30th January 2004A region is defined by y < -5x - 3. Should the boundary line be solid or dashed, and why?
- 31st January 2004y is directly proportional to x^2. When x = 3, y = 27. Work out y when x = 9.