Daily Practice · Higher
July 2000 - Higher 5-a-day
Every Higher sheet published in July 2000, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' July 2000 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in July 2000
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st July 2000Make x the subject of y = 6x^2 - 12.
- 2nd July 2000y is inversely proportional to x. When x = 5, y = 24. Work out y when x = 6.
- 3rd July 2000In triangle ABC, angle A is 67°, angle B is 35° and side a is 8 cm. Use the sine rule to work out side b, to 1 decimal place.
- 4th July 20004 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 5th July 2000Four classes in order have frequencies 8, 8, 6, 11. Write down the cumulative frequency at the end of the third class.
- 6th July 2000Work out (5 x 10^7) x (3 x 10^6). Give your answer in standard form.
- 7th July 2000Factorise x^2 - 81.
- 8th July 2000y is directly proportional to x^2. When x = 2, y = 36. Work out y when x = 9.
- 9th July 2000A right-angled triangle has sides 20 cm, 21 cm and 29 cm. Work out the angle opposite the 20 cm side, to 1 decimal place.
- 10th July 200026 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 11th July 200060 fish are marked and released. Later 45 are caught, of which 5 are marked. Estimate the population.
- 12th July 2000Write the recurring decimal 0.8787... as a fraction in its simplest form.
- 13th July 2000A region is defined by y <= 5x + 8. Should the boundary line be solid or dashed, and why?
- 14th July 2000y is directly proportional to x. When x = 9, y = 108. Work out y when x = 13.
- 15th July 2000The point (3, -5) is enlarged by scale factor -2 about the centre (-3, 2). Write down the coordinates of the image.
- 16th July 20003 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 17th July 2000A cumulative frequency graph is drawn for 240 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 18th July 2000A bill is £576 including VAT at 20%. Work out the amount before VAT.
- 19th July 2000Factorise x^2 + 4x - 45.
- 20th July 2000A town's population is 17000 and grows by 6% each year. Work out the population after 5 years, to the nearest whole number.
- 21st July 2000Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 972 cm^3. Work out the volume of the smaller.
- 22nd July 200022 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 23rd July 2000A box plot has a minimum of 8 and a maximum of 36. Work out the range.
- 24th July 2000A code is 2 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 25th July 2000Work out the equation of the line parallel to y = -4x - 9 that passes through (5, -8).
- 26th July 2000A block has volume 145 cm^3 and density 11 g/cm^3. Work out its mass.
- 27th July 2000A right-angled triangle has a hypotenuse of 29 cm and one shorter side of 21 cm. Work out the other shorter side.
- 28th July 20002 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 29th July 2000A box plot has minimum 14, lower quartile 18, median 26, upper quartile 33 and maximum 42. Work out the interquartile range.
- 30th July 2000Work out (36 x 10^6) / (4 x 10^4). Give your answer in standard form.
- 31st July 2000A line has equation y = -3x + 7. Work out the gradient of any line perpendicular to it.