Daily Practice · Higher
June 2004 - Higher 5-a-day
Every Higher sheet published in June 2004, with answers. Grades 6-7 - Higher-tier method and manipulation.
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The batch download puts all 5 tiers' June 2004 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in June 2004
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 20041 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 2nd June 2004Four classes in order have frequencies 12, 8, 6, 11. Write down the cumulative frequency at the end of the third class.
- 3rd June 2004Write sqrt(50) in the form a sqrt(b), where b is as small as possible.
- 4th June 2004Expand and simplify (x + 5)(x - 5)(x + 2).
- 5th June 2004y is directly proportional to x^2. When x = 3, y = 54. Work out y when x = 9.
- 6th June 2004A cone has base radius 6 cm and vertical height 6 cm. Work out its volume, leaving your answer in terms of pi.
- 7th June 200413 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 8th June 200420 newts are marked and released. Later 42 are caught, of which 6 are marked. Estimate the population.
- 9th June 2004A meal deal has 3 mains, 5 sides and 2 drinks. How many different meals are possible?
- 10th June 2004Make x the subject of y = 3x^2 - 8.
- 11th June 2004y is directly proportional to x. When x = 8, y = 24. Work out y when x = 14.
- 12th June 2004In triangle ABC, angle A is 75°, angle B is 75° and side a is 12 cm. Use the sine rule to work out side b, to 1 decimal place.
- 13th June 20041 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 14th June 2004A cumulative frequency graph is drawn for 84 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 15th June 2004A mass is 32 kg, correct to the nearest whole number. Write down the upper bound.
- 16th June 2004Factorise x^2 - 144.
- 17th June 2004A town's population is 23500 and grows by 8% each year. Work out the population after 4 years, to the nearest whole number.
- 18th June 2004A 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.
- 19th June 200413 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 20th June 2004A box plot has a minimum of 14 and a maximum of 61. Work out the range.
- 21st June 2004Write 5^-2 as a fraction.
- 22nd June 2004A region is defined by y < -5x - 2. Should the boundary line be solid or dashed, and why?
- 23rd June 2004A block has volume 80 cm^3 and density 3 g/cm^3. Work out its mass.
- 24th June 2004The point (-5, 5) is enlarged by scale factor -2 about the centre (-1, -1). Write down the coordinates of the image.
- 25th June 20041 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 26th June 2004A box plot has minimum 1, lower quartile 10, median 18, upper quartile 26 and maximum 34. Work out the interquartile range.
- 27th June 2004Work out (4 x 10^8) x (2 x 10^5). Give your answer in standard form.
- 28th June 2004Factorise x^2 - 2x - 3.
- 29th June 2004x : y = 5 : 8. Write y in terms of x.
- 30th June 2004Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 324 cm^3. Work out the volume of the smaller.