Daily Practice · Higher
July 2007 - Higher 5-a-day
Every Higher sheet published in July 2007, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' July 2007 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in July 2007
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st July 2007A region is defined by y <= 3x - 3. Should the boundary line be solid or dashed, and why?
- 2nd July 2007A price rises by 10% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 3rd July 2007The point (6, 3) is enlarged by scale factor -2 about the centre (1, -1). Write down the coordinates of the image.
- 4th July 20076 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 5th July 2007A histogram class is 2 units wide and contains 3 values. Work out the frequency density.
- 6th July 2007A meal deal has 8 mains, 4 sides and 6 drinks. How many different meals are possible?
- 7th July 2007Factorise x^2 + x - 2.
- 8th July 2007y is inversely proportional to x. When x = 8, y = 10. Work out y when x = 2.
- 9th July 2007Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 312 cm^3. Work out the volume of the smaller.
- 10th July 200725 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 2007Four classes in order have frequencies 5, 11, 12, 6. Write down the cumulative frequency at the end of the third class.
- 12th July 2007A mass is 25.7 kg, correct to 1 decimal place. Write down the upper bound.
- 13th July 2007Work out the equation of the line parallel to y = x - 4 that passes through (3, 8).
- 14th July 2007y is directly proportional to x^2. When x = 3, y = 18. Work out y when x = 6.
- 15th July 2007A right-angled triangle has a hypotenuse of 5 cm and one shorter side of 4 cm. Work out the other shorter side.
- 16th July 20072 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 17th July 200745 beetles are marked and released. Later 18 are caught, of which 3 are marked. Estimate the population.
- 18th July 2007Write 5^-3 as a fraction.
- 19th July 2007A line has equation y = 3x + 6. Work out the gradient of any line perpendicular to it.
- 20th July 2007y is directly proportional to x. When x = 4, y = 8. Work out y when x = 10.
- 21st July 2007ABCD is a cyclic quadrilateral. Angle ABC is 129°. Work out angle ADC.
- 22nd July 200723 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 2007A cumulative frequency graph is drawn for 228 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 24th July 2007Work out (2 x 10^8) x (2 x 10^-4). Give your answer in standard form.
- 25th July 2007For the curve y = 90/x, work out y when x = -10, and write down the equation of its vertical asymptote.
- 26th July 2007A town's population is 34000 and grows by 3% each year. Work out the population after 3 years, to the nearest whole number.
- 27th July 2007A, B and C are points on a circle with centre O. Angle AOC is 98°. Work out angle ABC, where B is on the major arc.
- 28th July 20074 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 29th July 2007A box plot has a minimum of 5 and a maximum of 56. Work out the range.
- 30th July 2007Write the recurring decimal 0.1414... as a fraction in its simplest form.
- 31st July 2007Expand and simplify (x - 2)(x + 1)(x + 5).