Daily Practice · Higher
July 2003 - Higher 5-a-day
Every Higher sheet published in July 2003, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' July 2003 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in July 2003
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st July 20035 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 2nd July 2003Four classes in order have frequencies 11, 8, 5, 4. Write down the cumulative frequency at the end of the third class.
- 3rd July 2003Work out 64^(2/3).
- 4th July 2003Expand and simplify (x + 1)(x - 5)(x - 2).
- 5th July 2003y is directly proportional to x^2. When x = 5, y = 225. Work out y when x = 6.
- 6th July 2003A cone has base radius 4 cm and vertical height 12 cm. Work out its volume, leaving your answer in terms of pi.
- 7th July 200317 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 8th July 200320 beetles are marked and released. Later 96 are caught, of which 8 are marked. Estimate the population.
- 9th July 2003Write sqrt(50) in the form a sqrt(b), where b is as small as possible.
- 10th July 2003Make x the subject of y = 7x^2 - 6.
- 11th July 2003y is directly proportional to x. When x = 9, y = 108. Work out y when x = 15.
- 12th July 2003In triangle ABC, angle A is 43°, angle B is 36° and side a is 9 cm. Use the sine rule to work out side b, to 1 decimal place.
- 13th July 20033 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 14th July 2003A cumulative frequency graph is drawn for 128 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 15th July 2003A meal deal has 6 mains, 9 sides and 4 drinks. How many different meals are possible?
- 16th July 2003Factorise x^2 - 100.
- 17th July 2003A town's population is 23000 and grows by 3% each year. Work out the population after 5 years, to the nearest whole number.
- 18th July 2003A 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.
- 19th July 200310 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 20th July 2003A box plot has a minimum of 3 and a maximum of 59. Work out the range.
- 21st July 2003A mass is 400 kg, correct to the nearest 10. Write down the lower bound.
- 22nd July 2003A region is defined by y < 5x + 8. Should the boundary line be solid or dashed, and why?
- 23rd July 2003A block has volume 175 cm^3 and density 4 g/cm^3. Work out its mass.
- 24th July 2003The point (-6, -2) is enlarged by scale factor -1 about the centre (-3, 0). Write down the coordinates of the image.
- 25th July 20031 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 26th July 2003A box plot has minimum 5, lower quartile 14, median 24, upper quartile 34 and maximum 42. Work out the interquartile range.
- 27th July 2003Write 7^-1 as a fraction.
- 28th July 2003Factorise x^2 - 11x + 28.
- 29th July 2003x : y = 5 : 9. Write y in terms of x.
- 30th July 2003Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 768 cm^3. Work out the volume of the smaller.
- 31st July 200326 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.