Daily Practice · Higher
February 2002 - Higher 5-a-day
Every Higher sheet published in February 2002, with answers. Grades 6-7 - Higher-tier method and manipulation.
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The batch download puts all 5 tiers' February 2002 sheets in a single PDF, each tier behind its own divider page - 140 sheets in one file.
Every sheet in February 2002
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 2002A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 2nd February 2002A meal deal has 5 mains, 3 sides and 4 drinks. How many different meals are possible?
- 3rd February 2002Factorise x^2 - 4.
- 4th February 2002A price rises by 10% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 5th February 2002A 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.
- 6th February 200227 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 7th February 2002A histogram class is 4 units wide and contains 2 values. Work out the frequency density.
- 8th February 2002A mass is 64 kg, correct to the nearest whole number. Write down the upper bound.
- 9th February 2002A region is defined by y < -3x - 8. Should the boundary line be solid or dashed, and why?
- 10th February 2002y is inversely proportional to x. When x = 2, y = 9. Work out y when x = 3.
- 11th February 2002The point (5, 0) is enlarged by scale factor -1 about the centre (-2, 4). Write down the coordinates of the image.
- 12th February 20027 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 13th February 2002Four classes in order have frequencies 9, 4, 3, 5. Write down the cumulative frequency at the end of the third class.
- 14th February 2002Write 7^-1 as a fraction.
- 15th February 2002Factorise x^2 + 10x + 25.
- 16th February 2002y is directly proportional to x^2. When x = 4, y = 112. Work out y when x = 7.
- 17th February 2002Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 72 cm^3. Work out the volume of the smaller.
- 18th February 200224 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 19th February 200245 newts are marked and released. Later 77 are caught, of which 7 are marked. Estimate the population.
- 20th February 2002Work out (2 x 10^4) x (7 x 10^-3). Give your answer in standard form.
- 21st February 2002Work out the equation of the line parallel to y = 2x - 8 that passes through (6, 17).
- 22nd February 2002y is directly proportional to x. When x = 8, y = 72. Work out y when x = 14.
- 23rd February 2002A right-angled triangle has a hypotenuse of 29 cm and one shorter side of 20 cm. Work out the other shorter side.
- 24th February 20022 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 25th February 2002A cumulative frequency graph is drawn for 48 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 26th February 2002Write the recurring decimal 0.4848... as a fraction in its simplest form.
- 27th February 2002A line has equation y = -2x + 2. Work out the gradient of any line perpendicular to it.
- 28th February 2002A town's population is 27000 and grows by 3% each year. Work out the population after 6 years, to the nearest whole number.