Daily Practice · Higher
October 2002 - Higher 5-a-day
Every Higher sheet published in October 2002, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' October 2002 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in October 2002
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st October 2002Factorise x^2 - 81.
- 2nd October 2002A block has volume 40 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 3rd October 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.
- 4th October 200219 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 5th October 2002A box plot has minimum 9, lower quartile 13, median 22, upper quartile 31 and maximum 37. Work out the interquartile range.
- 6th October 2002Write the recurring decimal 0.666... as a fraction in its simplest form.
- 7th October 2002A region is defined by y <= 5x + 4. Should the boundary line be solid or dashed, and why?
- 8th October 2002x : y = 4 : 5. Write y in terms of x.
- 9th October 2002The point (-2, 6) is enlarged by scale factor -1 about the centre (2, -4). Write down the coordinates of the image.
- 10th October 20021 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 11th October 2002A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 12th October 2002Work out 100^(3/2).
- 13th October 2002Factorise x^2 - 4x - 12.
- 14th October 2002A price rises by 20% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 15th October 2002Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 189 cm^3. Work out the volume of the smaller.
- 16th October 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.
- 17th October 2002A histogram class is 20 units wide and contains 60 values. Work out the frequency density.
- 18th October 2002Write sqrt(12) in the form a sqrt(b), where b is as small as possible.
- 19th October 2002Work out the equation of the line parallel to y = x + 5 that passes through (1, 7).
- 20th October 2002y is inversely proportional to x. When x = 4, y = 50. Work out y when x = 10.
- 21st October 2002A right-angled triangle has a hypotenuse of 17 cm and one shorter side of 15 cm. Work out the other shorter side.
- 22nd October 20024 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 23rd October 2002Four classes in order have frequencies 3, 6, 9, 5. Write down the cumulative frequency at the end of the third class.
- 24th October 2002A meal deal has 7 mains, 5 sides and 5 drinks. How many different meals are possible?
- 25th October 2002A line has equation y = -2x + 9. Work out the gradient of any line perpendicular to it.
- 26th October 2002y is directly proportional to x^2. When x = 3, y = 27. Work out y when x = 9.
- 27th October 2002ABCD is a cyclic quadrilateral. Angle ABC is 121°. Work out angle ADC.
- 28th October 200215 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 29th October 200215 fish are marked and released. Later 20 are caught, of which 2 are marked. Estimate the population.
- 30th October 2002A mass is 15.7 kg, correct to 1 decimal place. Write down the upper bound.
- 31st October 2002For the curve y = -14/x, work out y when x = 2, and write down the equation of its vertical asymptote.