Daily Practice · Higher
June 2001 - Higher 5-a-day
Every Higher sheet published in June 2001, with answers. Grades 6-7 - Higher-tier method and manipulation.
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The batch download puts all 5 tiers' June 2001 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in June 2001
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 2001Work out (4 x 10^3) x (7 x 10^-6). Give your answer in standard form.
- 2nd June 2001Make x the subject of y = 8x^2 - 9.
- 3rd June 2001y is inversely proportional to x. When x = 4, y = 3. Work out y when x = 3.
- 4th June 2001In triangle ABC, angle A is 35°, angle B is 103° and side a is 10 cm. Use the sine rule to work out side b, to 1 decimal place.
- 5th June 20013 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 6th June 2001Four classes in order have frequencies 8, 5, 4, 5. Write down the cumulative frequency at the end of the third class.
- 7th June 2001Write the recurring decimal 0.1414... as a fraction in its simplest form.
- 8th June 2001Factorise x^2 - 4.
- 9th June 2001y is directly proportional to x^2. When x = 6, y = 72. Work out y when x = 3.
- 10th June 2001A right-angled triangle has sides 3 cm, 4 cm and 5 cm. Work out the angle opposite the 3 cm side, to 1 decimal place.
- 11th June 200125 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 12th June 200130 beetles are marked and released. Later 80 are caught, of which 8 are marked. Estimate the population.
- 13th June 2001A bill is £864 including VAT at 20%. Work out the amount before VAT.
- 14th June 2001A region is defined by y <= 5x - 8. Should the boundary line be solid or dashed, and why?
- 15th June 2001y is directly proportional to x. When x = 3, y = 33. Work out y when x = 2.
- 16th June 2001The point (-4, -1) is enlarged by scale factor -3 about the centre (-4, 0). Write down the coordinates of the image.
- 17th June 20013 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 18th June 2001A cumulative frequency graph is drawn for 60 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 19th June 2001A code is 2 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 20th June 2001Factorise x^2 + 14x + 49.
- 21st June 2001A town's population is 11500 and grows by 8% each year. Work out the population after 6 years, to the nearest whole number.
- 22nd June 2001Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 702 cm^3. Work out the volume of the smaller.
- 23rd June 200118 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 24th June 2001A box plot has a minimum of 5 and a maximum of 30. Work out the range.
- 25th June 2001Work out (6 x 10^6) / (3 x 10^3). Give your answer in standard form.
- 26th June 2001Work out the equation of the line parallel to y = 2x - 6 that passes through (2, -8).
- 27th June 2001A block has volume 25 cm^3 and density 4 g/cm^3. Work out its mass.
- 28th June 2001A right-angled triangle has a hypotenuse of 29 cm and one shorter side of 20 cm. Work out the other shorter side.
- 29th June 20013 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 30th June 2001A box plot has minimum 15, lower quartile 21, median 24, upper quartile 32 and maximum 36. Work out the interquartile range.