Daily Practice · Higher
November 2004 - Higher 5-a-day
Every Higher sheet published in November 2004, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' November 2004 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 2004
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 2004Make x the subject of y = 5x^2 - 3.
- 2nd November 2004x : y = 4 : 9. Write y in terms of x.
- 3rd November 2004In triangle ABC, angle A is 58°, angle B is 44° and side a is 7 cm. Use the sine rule to work out side b, to 1 decimal place.
- 4th November 20042 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 5th November 2004A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 6th November 2004Work out (3 x 10^5) x (3 x 10^-6). Give your answer in standard form.
- 7th November 2004Factorise x^2 - 121.
- 8th November 2004A price rises by 20% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 9th November 2004A right-angled triangle has sides 9 cm, 12 cm and 15 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
- 10th November 200422 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 11th November 2004A histogram class is 5 units wide and contains 20 values. Work out the frequency density.
- 12th November 2004Write the recurring decimal 0.3030... as a fraction in its simplest form.
- 13th November 2004A region is defined by y < -4x + 9. Should the boundary line be solid or dashed, and why?
- 14th November 2004y is inversely proportional to x. When x = 7, y = 10. Work out y when x = 10.
- 15th November 2004The point (-5, 2) is enlarged by scale factor -2 about the centre (3, 2). Write down the coordinates of the image.
- 16th November 20045 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 17th November 2004Four classes in order have frequencies 5, 9, 7, 9. Write down the cumulative frequency at the end of the third class.
- 18th November 2004A bill is £792 including VAT at 20%. Work out the amount before VAT.
- 19th November 2004Factorise x^2 - 6x + 5.
- 20th November 2004y is directly proportional to x^2. When x = 6, y = 216. Work out y when x = 2.
- 21st November 2004Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 2048 cm^3. Work out the volume of the smaller.
- 22nd November 200427 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 23rd November 200440 newts are marked and released. Later 72 are caught, of which 6 are marked. Estimate the population.
- 24th November 2004A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 25th November 2004Work out the equation of the line parallel to y = -3x + 8 that passes through (1, -11).
- 26th November 2004y is directly proportional to x. When x = 2, y = 12. Work out y when x = 7.
- 27th November 2004A right-angled triangle has a hypotenuse of 29 cm and one shorter side of 21 cm. Work out the other shorter side.
- 28th November 20044 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 29th November 2004A cumulative frequency graph is drawn for 192 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 30th November 2004Work out (30 x 10^7) / (5 x 10^4). Give your answer in standard form.