Daily Practice · Higher
May 2017 - Higher 5-a-day
Every Higher sheet published in May 2017, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' May 2017 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 2017
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 2017A cumulative frequency graph is drawn for 56 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 2nd May 2017Write the recurring decimal 0.2424... as a fraction in its simplest form.
- 3rd May 2017Factorise x^2 - 49.
- 4th May 2017A town's population is 20000 and grows by 3% each year. Work out the population after 4 years, to the nearest whole number.
- 5th May 2017A 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.
- 6th May 201727 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 7th May 2017A box plot has a minimum of 15 and a maximum of 49. Work out the range.
- 8th May 2017A bill is £504 including VAT at 20%. Work out the amount before VAT.
- 9th May 2017A region is defined by y <= 5x - 9. Should the boundary line be solid or dashed, and why?
- 10th May 2017A block has volume 105 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 11th May 2017The point (-2, 0) is enlarged by scale factor -3 about the centre (1, -4). Write down the coordinates of the image.
- 12th May 20174 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 13th May 2017A box plot has minimum 10, lower quartile 16, median 19, upper quartile 29 and maximum 36. Work out the interquartile range.
- 14th May 2017A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 15th May 2017Factorise x^2 + 11x + 28.
- 16th May 2017x : y = 3 : 5. Write y in terms of x.
- 17th May 2017Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 108 cm^3. Work out the volume of the smaller.
- 18th May 201711 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 19th May 2017A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 20th May 2017Work out (21 x 10^12) / (7 x 10^3). Give your answer in standard form.
- 21st May 2017Work out the equation of the line parallel to y = 3x + 8 that passes through (4, 5).
- 22nd May 2017A price rises by 10% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 23rd May 2017A right-angled triangle has a hypotenuse of 26 cm and one shorter side of 10 cm. Work out the other shorter side.
- 24th May 20175 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 25th May 2017A histogram class is 5 units wide and contains 15 values. Work out the frequency density.
- 26th May 2017Write the recurring decimal 0.333... as a fraction in its simplest form.
- 27th May 2017A line has equation y = 3x + 4. Work out the gradient of any line perpendicular to it.
- 28th May 2017y is inversely proportional to x. When x = 3, y = 48. Work out y when x = 12.
- 29th May 2017ABCD is a cyclic quadrilateral. Angle ABC is 77°. Work out angle ADC.
- 30th May 201717 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 31st May 2017Four classes in order have frequencies 11, 5, 6, 4. Write down the cumulative frequency at the end of the third class.