Daily Practice · Higher
October 2017 - Higher 5-a-day
Every Higher sheet published in October 2017, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' October 2017 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in October 2017
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st October 2017y is inversely proportional to x. When x = 6, y = 24. Work out y when x = 12.
- 2nd October 2017The point (5, 6) is enlarged by scale factor -2 about the centre (4, 3). Write down the coordinates of the image.
- 3rd October 20177 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 4th October 2017Four classes in order have frequencies 10, 4, 6, 11. Write down the cumulative frequency at the end of the third class.
- 5th October 2017Write the recurring decimal 0.555... as a fraction in its simplest form.
- 6th October 2017Factorise x^2 - 13x + 40.
- 7th October 2017y is directly proportional to x^2. When x = 2, y = 8. Work out y when x = 5.
- 8th October 2017Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 1600 cm^3. Work out the volume of the smaller.
- 9th October 201729 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 10th October 201715 voles are marked and released. Later 45 are caught, of which 5 are marked. Estimate the population.
- 11th October 2017Work out 125^(2/3).
- 12th October 2017Work out the equation of the line parallel to y = 5x - 9 that passes through (5, 36).
- 13th October 2017y is directly proportional to x. When x = 4, y = 48. Work out y when x = 10.
- 14th October 2017A right-angled triangle has a hypotenuse of 13 cm and one shorter side of 12 cm. Work out the other shorter side.
- 15th October 20175 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 16th October 2017A cumulative frequency graph is drawn for 184 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 17th October 2017Write sqrt(72) in the form a sqrt(b), where b is as small as possible.
- 18th October 2017A line has equation y = 2x + 6. Work out the gradient of any line perpendicular to it.
- 19th October 2017A town's population is 40000 and grows by 5% each year. Work out the population after 6 years, to the nearest whole number.
- 20th October 2017ABCD is a cyclic quadrilateral. Angle ABC is 117°. Work out angle ADC.
- 21st October 201712 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 22nd October 2017A box plot has a minimum of 17 and a maximum of 35. Work out the range.
- 23rd October 2017A meal deal has 9 mains, 3 sides and 5 drinks. How many different meals are possible?
- 24th October 2017For the curve y = -20/x, work out y when x = -5, and write down the equation of its vertical asymptote.
- 25th October 2017A block has volume 105 cm^3 and density 11 g/cm^3. Work out its mass.
- 26th October 2017A, B and C are points on a circle with centre O. Angle AOC is 120°. Work out angle ABC, where B is on the major arc.
- 27th October 20175 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 28th October 2017A box plot has minimum 1, lower quartile 5, median 13, upper quartile 16 and maximum 23. Work out the interquartile range.
- 29th October 2017A mass is 61 kg, correct to the nearest whole number. Write down the upper bound.
- 30th October 2017Expand and simplify (x - 5)(x - 3)(x - 3).
- 31st October 2017x : y = 2 : 7. Write y in terms of x.