Daily Practice · Higher
September 2018 - Higher 5-a-day
Every Higher sheet published in September 2018, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' September 2018 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in September 2018
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 2018A region is defined by y < -3x - 5. Should the boundary line be solid or dashed, and why?
- 2nd September 2018y is inversely proportional to x. When x = 8, y = 25. Work out y when x = 5.
- 3rd September 2018The point (-1, -4) is enlarged by scale factor -1 about the centre (-4, -4). Write down the coordinates of the image.
- 4th September 20182 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 5th September 2018Four classes in order have frequencies 6, 9, 11, 8. Write down the cumulative frequency at the end of the third class.
- 6th September 2018Work out 27^(2/3).
- 7th September 2018Factorise x^2 - 4x + 4.
- 8th September 2018y is directly proportional to x^2. When x = 6, y = 108. Work out y when x = 5.
- 9th September 2018Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 54 cm^3. Work out the volume of the smaller.
- 10th September 201825 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 11th September 201810 fish are marked and released. Later 33 are caught, of which 3 are marked. Estimate the population.
- 12th September 2018Write sqrt(75) in the form a sqrt(b), where b is as small as possible.
- 13th September 2018Work out the equation of the line parallel to y = x - 3 that passes through (3, 13).
- 14th September 2018y is directly proportional to x. When x = 3, y = 6. Work out y when x = 14.
- 15th September 2018A right-angled triangle has a hypotenuse of 20 cm and one shorter side of 16 cm. Work out the other shorter side.
- 16th September 20181 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 17th September 2018A cumulative frequency graph is drawn for 44 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 18th September 2018A meal deal has 4 mains, 3 sides and 4 drinks. How many different meals are possible?
- 19th September 2018A line has equation y = -5x + 5. Work out the gradient of any line perpendicular to it.
- 20th September 2018A town's population is 20000 and grows by 5% each year. Work out the population after 3 years, to the nearest whole number.
- 21st September 2018ABCD is a cyclic quadrilateral. Angle ABC is 120°. Work out angle ADC.
- 22nd September 201817 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 23rd September 2018A box plot has a minimum of 10 and a maximum of 41. Work out the range.
- 24th September 2018A mass is 80 kg, correct to the nearest 10. Write down the lower bound.
- 25th September 2018For the curve y = -50/x, work out y when x = -10, and write down the equation of its vertical asymptote.
- 26th September 2018A block has volume 105 cm^3 and density 4 g/cm^3. Work out its mass.
- 27th September 2018A, B and C are points on a circle with centre O. Angle AOC is 56°. Work out angle ABC, where B is on the major arc.
- 28th September 20183 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 29th September 2018A box plot has minimum 8, lower quartile 10, median 14, upper quartile 19 and maximum 23. Work out the interquartile range.
- 30th September 2018Write 5^-2 as a fraction.