Daily Practice · Higher
September 2017 - Higher 5-a-day
Every Higher sheet published in September 2017, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' September 2017 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in September 2017
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 2017y is directly proportional to x. When x = 8, y = 80. Work out y when x = 6.
- 2nd September 2017ABCD is a cyclic quadrilateral. Angle ABC is 59°. Work out angle ADC.
- 3rd September 201713 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 4th September 2017A cumulative frequency graph is drawn for 196 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 5th September 2017Work out (5 x 10^4) x (3 x 10^-5). Give your answer in standard form.
- 6th September 2017For the curve y = -24/x, work out y when x = -2, and write down the equation of its vertical asymptote.
- 7th September 2017A town's population is 2000 and grows by 6% each year. Work out the population after 4 years, to the nearest whole number.
- 8th September 2017A, B and C are points on a circle with centre O. Angle AOC is 78°. Work out angle ABC, where B is on the major arc.
- 9th September 20175 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 10th September 2017A box plot has a minimum of 20 and a maximum of 56. Work out the range.
- 11th September 2017Write the recurring decimal 0.8181... as a fraction in its simplest form.
- 12th September 2017Expand and simplify (x + 3)(x + 3)(x + 4).
- 13th September 2017A block has volume 140 cm^3 and density 11 g/cm^3. Work out its mass.
- 14th September 2017A cone has base radius 7 cm and vertical height 12 cm. Work out its volume, leaving your answer in terms of pi.
- 15th September 201721 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 16th September 2017A box plot has minimum 5, lower quartile 15, median 20, upper quartile 28 and maximum 35. Work out the interquartile range.
- 17th September 2017A bill is £624 including VAT at 20%. Work out the amount before VAT.
- 18th September 2017Make x the subject of y = 5x^2 - 6.
- 19th September 2017x : y = 3 : 8. Write y in terms of x.
- 20th September 2017In triangle ABC, angle A is 42°, angle B is 52° and side a is 19 cm. Use the sine rule to work out side b, to 1 decimal place.
- 21st September 20177 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 22nd September 2017A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 23rd September 2017A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 24th September 2017Factorise x^2 - 49.
- 25th September 2017A price rises by 25% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 26th September 2017A right-angled triangle has sides 3 cm, 4 cm and 5 cm. Work out the angle opposite the 3 cm side, to 1 decimal place.
- 27th September 201716 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 28th September 2017A histogram class is 5 units wide and contains 10 values. Work out the frequency density.
- 29th September 2017Work out (15 x 10^11) / (3 x 10^5). Give your answer in standard form.
- 30th September 2017A region is defined by y < 2x - 8. Should the boundary line be solid or dashed, and why?