Daily Practice · Higher
September 2002 - Higher 5-a-day
Every Higher sheet published in September 2002, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' September 2002 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in September 2002
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 2002Work out the equation of the line parallel to y = 3x - 1 that passes through (2, 13).
- 2nd September 2002A price rises by 15% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 3rd September 2002A right-angled triangle has a hypotenuse of 20 cm and one shorter side of 12 cm. Work out the other shorter side.
- 4th September 20022 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 5th September 2002A histogram class is 4 units wide and contains 6 values. Work out the frequency density.
- 6th September 2002Work out (3 x 10^3) x (3 x 10^-2). Give your answer in standard form.
- 7th September 2002A line has equation y = -2x + 4. Work out the gradient of any line perpendicular to it.
- 8th September 2002y is inversely proportional to x. When x = 9, y = 60. Work out y when x = 12.
- 9th September 2002ABCD is a cyclic quadrilateral. Angle ABC is 77°. Work out angle ADC.
- 10th September 200219 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 11th September 2002Four classes in order have frequencies 12, 8, 12, 4. Write down the cumulative frequency at the end of the third class.
- 12th September 2002Write the recurring decimal 0.7575... as a fraction in its simplest form.
- 13th September 2002For the curve y = 50/x, work out y when x = 5, and write down the equation of its vertical asymptote.
- 14th September 2002y is directly proportional to x^2. When x = 4, y = 48. Work out y when x = 5.
- 15th September 2002A, B and C are points on a circle with centre O. Angle AOC is 78°. Work out angle ABC, where B is on the major arc.
- 16th September 20024 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 17th September 200235 voles are marked and released. Later 8 are caught, of which 2 are marked. Estimate the population.
- 18th September 2002A bill is £288 including VAT at 20%. Work out the amount before VAT.
- 19th September 2002Expand and simplify (x + 1)(x + 1)(x - 1).
- 20th September 2002y is directly proportional to x. When x = 4, y = 24. Work out y when x = 7.
- 21st September 2002A cone has base radius 8 cm and vertical height 9 cm. Work out its volume, leaving your answer in terms of pi.
- 22nd September 200212 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 23rd September 2002A cumulative frequency graph is drawn for 212 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 24th September 2002A code is 2 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 25th September 2002Make x the subject of y = 6x^2 - 2.
- 26th September 2002A town's population is 12000 and grows by 4% each year. Work out the population after 6 years, to the nearest whole number.
- 27th September 2002In triangle ABC, angle A is 46°, angle B is 104° and side a is 16 cm. Use the sine rule to work out side b, to 1 decimal place.
- 28th September 20025 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 29th September 2002A box plot has a minimum of 15 and a maximum of 41. Work out the range.
- 30th September 2002Work out (9 x 10^10) / (3 x 10^3). Give your answer in standard form.