Daily Practice · Higher
January 2002 - Higher 5-a-day
Every Higher sheet published in January 2002, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' January 2002 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in January 2002
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st January 20029 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 2nd January 2002Four classes in order have frequencies 5, 10, 10, 5. Write down the cumulative frequency at the end of the third class.
- 3rd January 2002A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 4th January 2002Work out the equation of the line parallel to y = 4x - 6 that passes through (5, 32).
- 5th January 2002y is directly proportional to x^2. When x = 3, y = 63. Work out y when x = 6.
- 6th January 2002A right-angled triangle has a hypotenuse of 10 cm and one shorter side of 6 cm. Work out the other shorter side.
- 7th January 20021 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 8th January 200250 newts are marked and released. Later 28 are caught, of which 4 are marked. Estimate the population.
- 9th January 2002Work out (64 x 10^7) / (8 x 10^5). Give your answer in standard form.
- 10th January 2002A line has equation y = -2x + 9. Work out the gradient of any line perpendicular to it.
- 11th January 2002y is directly proportional to x. When x = 3, y = 6. Work out y when x = 6.
- 12th January 2002ABCD is a cyclic quadrilateral. Angle ABC is 77°. Work out angle ADC.
- 13th January 200215 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 14th January 2002A cumulative frequency graph is drawn for 64 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 15th January 2002Write the recurring decimal 0.666... as a fraction in its simplest form.
- 16th January 2002For the curve y = 36/x, work out y when x = 4, and write down the equation of its vertical asymptote.
- 17th January 2002A town's population is 16000 and grows by 5% each year. Work out the population after 3 years, to the nearest whole number.
- 18th January 2002A, B and C are points on a circle with centre O. Angle AOC is 120°. Work out angle ABC, where B is on the major arc.
- 19th January 20025 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 20th January 2002A box plot has a minimum of 13 and a maximum of 34. Work out the range.
- 21st January 2002Work out 27^(2/3).
- 22nd January 2002Expand and simplify (x + 2)(x + 5)(x + 1).
- 23rd January 2002A block has volume 85 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 24th January 2002A cone has base radius 3 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
- 25th January 200225 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 26th January 2002A box plot has minimum 14, lower quartile 20, median 26, upper quartile 33 and maximum 40. Work out the interquartile range.
- 27th January 2002Write sqrt(45) in the form a sqrt(b), where b is as small as possible.
- 28th January 2002Make x the subject of y = 9x^2 - 12.
- 29th January 2002x : y = 4 : 5. Write y in terms of x.
- 30th January 2002In triangle ABC, angle A is 60°, angle B is 62° and side a is 16 cm. Use the sine rule to work out side b, to 1 decimal place.
- 31st January 20023 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.