Daily Practice · Higher
August 2002 - Higher 5-a-day
Every Higher sheet published in August 2002, with answers. Grades 6-7 - Higher-tier method and manipulation.
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The batch download puts all 5 tiers' August 2002 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in August 2002
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 2002Write the recurring decimal 0.777... as a fraction in its simplest form.
- 2nd August 2002Expand and simplify (x - 5)(x - 5)(x + 2).
- 3rd August 2002y is directly proportional to x^2. When x = 3, y = 27. Work out y when x = 6.
- 4th August 2002A cone has base radius 4 cm and vertical height 18 cm. Work out its volume, leaving your answer in terms of pi.
- 5th August 200219 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 6th August 200225 beetles are marked and released. Later 12 are caught, of which 3 are marked. Estimate the population.
- 7th August 2002Work out 8^(2/3).
- 8th August 2002Make x the subject of y = 6x^2 - 4.
- 9th August 2002y is directly proportional to x. When x = 8, y = 64. Work out y when x = 13.
- 10th August 2002In triangle ABC, angle A is 76°, angle B is 68° and side a is 6 cm. Use the sine rule to work out side b, to 1 decimal place.
- 11th August 20023 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 12th August 2002A cumulative frequency graph is drawn for 104 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 13th August 2002Write sqrt(32) in the form a sqrt(b), where b is as small as possible.
- 14th August 2002Factorise x^2 - 36.
- 15th August 2002A town's population is 16000 and grows by 4% each year. Work out the population after 3 years, to the nearest whole number.
- 16th August 2002A right-angled triangle has sides 20 cm, 21 cm and 29 cm. Work out the angle opposite the 20 cm side, to 1 decimal place.
- 17th August 200215 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 18th August 2002A box plot has a minimum of 16 and a maximum of 63. Work out the range.
- 19th August 2002A meal deal has 3 mains, 6 sides and 3 drinks. How many different meals are possible?
- 20th August 2002A region is defined by y < 3x + 3. Should the boundary line be solid or dashed, and why?
- 21st August 2002A block has volume 90 cm^3 and density 3 g/cm^3. Work out its mass.
- 22nd August 2002The point (-2, 6) is enlarged by scale factor -3 about the centre (1, 3). Write down the coordinates of the image.
- 23rd August 20025 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 24th August 2002A box plot has minimum 13, lower quartile 20, median 30, upper quartile 35 and maximum 37. Work out the interquartile range.
- 25th August 2002A mass is 14 kg, correct to the nearest whole number. Write down the lower bound.
- 26th August 2002Factorise x^2 + 11x + 30.
- 27th August 2002x : y = 3 : 5. Write y in terms of x.
- 28th August 2002Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 88 cm^3. Work out the volume of the smaller.
- 29th August 200212 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 30th August 2002A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 31st August 2002Write 4^-3 as a fraction.