Daily Practice · Higher
June 2000 - Higher 5-a-day
Every Higher sheet published in June 2000, with answers. Grades 6-7 - Higher-tier method and manipulation.
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The batch download puts all 5 tiers' June 2000 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in June 2000
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 2000Factorise x^2 + 8x - 9.
- 2nd June 2000y is directly proportional to x. When x = 6, y = 18. Work out y when x = 4.
- 3rd June 2000Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 297 cm^3. Work out the volume of the smaller.
- 4th June 200024 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 5th June 2000A cumulative frequency graph is drawn for 164 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 6th June 2000Work out 100^(3/2).
- 7th June 2000Work out the equation of the line parallel to y = x - 4 that passes through (6, -2).
- 8th June 2000A town's population is 38000 and grows by 4% each year. Work out the population after 2 years, to the nearest whole number.
- 9th June 2000A right-angled triangle has a hypotenuse of 17 cm and one shorter side of 8 cm. Work out the other shorter side.
- 10th June 20003 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 11th June 2000A box plot has a minimum of 7 and a maximum of 23. Work out the range.
- 12th June 2000Write sqrt(48) in the form a sqrt(b), where b is as small as possible.
- 13th June 2000A line has equation y = 2x + 4. Work out the gradient of any line perpendicular to it.
- 14th June 2000A block has volume 10 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 15th June 2000ABCD is a cyclic quadrilateral. Angle ABC is 87°. Work out angle ADC.
- 16th June 200018 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 17th June 2000A box plot has minimum 1, lower quartile 4, median 7, upper quartile 9 and maximum 16. Work out the interquartile range.
- 18th June 2000A meal deal has 4 mains, 4 sides and 2 drinks. How many different meals are possible?
- 19th June 2000For the curve y = 40/x, work out y when x = 10, and write down the equation of its vertical asymptote.
- 20th June 2000x : y = 2 : 9. Write y in terms of x.
- 21st June 2000A, B and C are points on a circle with centre O. Angle AOC is 42°. Work out angle ABC, where B is on the major arc.
- 22nd June 20001 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 23rd June 2000A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 24th June 2000A mass is 300 kg, correct to the nearest 10. Write down the upper bound.
- 25th June 2000Expand and simplify (x - 5)(x - 1)(x - 4).
- 26th June 2000A price rises by 20% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 27th June 2000A cone has base radius 5 cm and vertical height 9 cm. Work out its volume, leaving your answer in terms of pi.
- 28th June 200026 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 29th June 2000A histogram class is 5 units wide and contains 10 values. Work out the frequency density.
- 30th June 2000Write 8^-3 as a fraction.