Daily Practice · Higher
August 2000 - Higher 5-a-day
Every Higher sheet published in August 2000, with answers. Grades 6-7 - Higher-tier method and manipulation.
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The batch download puts all 5 tiers' August 2000 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in August 2000
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 2000x : y = 2 : 5. Write y in terms of x.
- 2nd August 2000ABCD is a cyclic quadrilateral. Angle ABC is 108°. Work out angle ADC.
- 3rd August 200017 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 4th August 2000A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 5th August 2000Write the recurring decimal 0.444... as a fraction in its simplest form.
- 6th August 2000For the curve y = -20/x, work out y when x = 5, and write down the equation of its vertical asymptote.
- 7th August 2000A price rises by 15% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 8th August 2000A, B and C are points on a circle with centre O. Angle AOC is 64°. Work out angle ABC, where B is on the major arc.
- 9th August 20001 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 10th August 2000A histogram class is 20 units wide and contains 30 values. Work out the frequency density.
- 11th August 2000Work out 125^(2/3).
- 12th August 2000Expand and simplify (x - 2)(x + 2)(x + 4).
- 13th August 2000y is inversely proportional to x. When x = 8, y = 36. Work out y when x = 6.
- 14th August 2000A cone has base radius 10 cm and vertical height 6 cm. Work out its volume, leaving your answer in terms of pi.
- 15th August 200021 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 16th August 2000Four classes in order have frequencies 7, 9, 4, 6. Write down the cumulative frequency at the end of the third class.
- 17th August 2000Write sqrt(32) in the form a sqrt(b), where b is as small as possible.
- 18th August 2000Make x the subject of y = 4x^2 - 10.
- 19th August 2000y is directly proportional to x^2. When x = 6, y = 144. Work out y when x = 2.
- 20th August 2000In triangle ABC, angle A is 43°, angle B is 35° and side a is 18 cm. Use the sine rule to work out side b, to 1 decimal place.
- 21st August 20001 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 22nd August 200060 fish are marked and released. Later 35 are caught, of which 5 are marked. Estimate the population.
- 23rd August 2000A meal deal has 4 mains, 4 sides and 4 drinks. How many different meals are possible?
- 24th August 2000Factorise x^2 - 16.
- 25th August 2000y is directly proportional to x. When x = 8, y = 40. Work out y when x = 9.
- 26th August 2000A right-angled triangle has sides 6 cm, 8 cm and 10 cm. Work out the angle opposite the 6 cm side, to 1 decimal place.
- 27th August 200021 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 28th August 2000A cumulative frequency graph is drawn for 236 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 29th August 2000A mass is 7 kg, correct to the nearest whole number. Write down the lower bound.
- 30th August 2000A region is defined by y < 3x + 8. Should the boundary line be solid or dashed, and why?
- 31st August 2000A town's population is 33000 and grows by 4% each year. Work out the population after 6 years, to the nearest whole number.