Daily Practice · Higher
November 2005 - Higher 5-a-day
Every Higher sheet published in November 2005, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' November 2005 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 2005
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 2005Write the recurring decimal 0.111... as a fraction in its simplest form.
- 2nd November 2005A line has equation y = 2x + 7. Work out the gradient of any line perpendicular to it.
- 3rd November 2005A town's population is 17000 and grows by 3% each year. Work out the population after 5 years, to the nearest whole number.
- 4th November 2005ABCD is a cyclic quadrilateral. Angle ABC is 108°. Work out angle ADC.
- 5th November 200522 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 6th November 2005A box plot has a minimum of 19 and a maximum of 61. Work out the range.
- 7th November 2005Work out 8^(2/3).
- 8th November 2005For the curve y = 90/x, work out y when x = -10, and write down the equation of its vertical asymptote.
- 9th November 2005A block has volume 125 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 10th November 2005A, B and C are points on a circle with centre O. Angle AOC is 42°. Work out angle ABC, where B is on the major arc.
- 11th November 20054 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 12th November 2005A box plot has minimum 8, lower quartile 10, median 19, upper quartile 27 and maximum 32. Work out the interquartile range.
- 13th November 2005Write sqrt(45) in the form a sqrt(b), where b is as small as possible.
- 14th November 2005Expand and simplify (x + 3)(x - 1)(x + 3).
- 15th November 2005x : y = 4 : 5. Write y in terms of x.
- 16th November 2005A cone has base radius 8 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
- 17th November 200519 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 18th November 2005A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 19th November 2005A meal deal has 8 mains, 8 sides and 2 drinks. How many different meals are possible?
- 20th November 2005Make x the subject of y = 7x^2 - 7.
- 21st November 2005A price rises by 25% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 22nd November 2005In triangle ABC, angle A is 31°, angle B is 54° and side a is 5 cm. Use the sine rule to work out side b, to 1 decimal place.
- 23rd November 20053 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 24th November 2005A histogram class is 5 units wide and contains 12.5 values. Work out the frequency density.
- 25th November 2005A mass is 250 kg, correct to the nearest 10. Write down the lower bound.
- 26th November 2005Factorise x^2 - 36.
- 27th November 2005y is inversely proportional to x. When x = 8, y = 5. Work out y when x = 5.
- 28th November 2005A 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.
- 29th November 200511 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 30th November 2005Four classes in order have frequencies 7, 6, 5, 6. Write down the cumulative frequency at the end of the third class.