Daily Practice · Higher
November 2010 - Higher 5-a-day
Every Higher sheet published in November 2010, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' November 2010 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 2010
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 2010A price rises by 25% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 2nd November 2010ABCD is a cyclic quadrilateral. Angle ABC is 94°. Work out angle ADC.
- 3rd November 201016 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 4th November 2010A histogram class is 10 units wide and contains 20 values. Work out the frequency density.
- 5th November 2010A bill is £696 including VAT at 20%. Work out the amount before VAT.
- 6th November 2010For the curve y = 100/x, work out y when x = 10, and write down the equation of its vertical asymptote.
- 7th November 2010y is inversely proportional to x. When x = 5, y = 72. Work out y when x = 12.
- 8th November 2010A, B and C are points on a circle with centre O. Angle AOC is 160°. Work out angle ABC, where B is on the major arc.
- 9th November 20105 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 10th November 2010Four classes in order have frequencies 6, 4, 3, 7. Write down the cumulative frequency at the end of the third class.
- 11th November 2010A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 12th November 2010Expand and simplify (x - 3)(x + 5)(x + 5).
- 13th November 2010y is directly proportional to x^2. When x = 3, y = 72. Work out y when x = 2.
- 14th November 2010A cone has base radius 3 cm and vertical height 3 cm. Work out its volume, leaving your answer in terms of pi.
- 15th November 201024 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 November 201010 beetles are marked and released. Later 18 are caught, of which 3 are marked. Estimate the population.
- 17th November 2010Work out (20 x 10^9) / (4 x 10^2). Give your answer in standard form.
- 18th November 2010Make x the subject of y = 5x^2 - 6.
- 19th November 2010y is directly proportional to x. When x = 9, y = 99. Work out y when x = 12.
- 20th November 2010In triangle ABC, angle A is 71°, angle B is 64° and side a is 13 cm. Use the sine rule to work out side b, to 1 decimal place.
- 21st November 20103 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 22nd November 2010A cumulative frequency graph is drawn for 112 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 23rd November 2010Write the recurring decimal 0.444... as a fraction in its simplest form.
- 24th November 2010Factorise x^2 - 144.
- 25th November 2010A town's population is 9000 and grows by 5% each year. Work out the population after 6 years, to the nearest whole number.
- 26th November 2010A right-angled triangle has sides 3 cm, 4 cm and 5 cm. Work out the angle opposite the 3 cm side, to 1 decimal place.
- 27th November 201015 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 28th November 2010A box plot has a minimum of 6 and a maximum of 19. Work out the range.
- 29th November 2010Work out 27^(2/3).
- 30th November 2010A region is defined by y < -4x + 9. Should the boundary line be solid or dashed, and why?