Daily Practice · Higher
September 2016 - Higher 5-a-day
Every Higher sheet published in September 2016, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' September 2016 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in September 2016
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 2016In triangle ABC, angle A is 61°, angle B is 76° and side a is 16 cm. Use the sine rule to work out side b, to 1 decimal place.
- 2nd September 20163 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 3rd September 2016A box plot has minimum 2, lower quartile 11, median 17, upper quartile 24 and maximum 34. Work out the interquartile range.
- 4th September 2016Write the recurring decimal 0.888... as a fraction in its simplest form.
- 5th September 2016Factorise x^2 - 64.
- 6th September 2016x : y = 3 : 4. Write y in terms of x.
- 7th September 2016A right-angled triangle has sides 5 cm, 12 cm and 13 cm. Work out the angle opposite the 5 cm side, to 1 decimal place.
- 8th September 201631 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 9th September 2016A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 10th September 2016Work out 27^(2/3).
- 11th September 2016A region is defined by y < x + 4. Should the boundary line be solid or dashed, and why?
- 12th September 2016A price rises by 10% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 13th September 2016The point (5, -4) is enlarged by scale factor -1 about the centre (-4, -2). Write down the coordinates of the image.
- 14th September 20164 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 15th September 2016A histogram class is 2 units wide and contains 4 values. Work out the frequency density.
- 16th September 2016Write sqrt(50) in the form a sqrt(b), where b is as small as possible.
- 17th September 2016Factorise x^2 + 15x + 54.
- 18th September 2016y is inversely proportional to x. When x = 6, y = 24. Work out y when x = 12.
- 19th September 2016Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 2432 cm^3. Work out the volume of the smaller.
- 20th September 201613 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 21st September 2016Four classes in order have frequencies 10, 4, 3, 9. Write down the cumulative frequency at the end of the third class.
- 22nd September 2016A meal deal has 4 mains, 8 sides and 2 drinks. How many different meals are possible?
- 23rd September 2016Work out the equation of the line parallel to y = 3x - 7 that passes through (4, 20).
- 24th September 2016y is directly proportional to x^2. When x = 4, y = 48. Work out y when x = 9.
- 25th September 2016A right-angled triangle has a hypotenuse of 26 cm and one shorter side of 24 cm. Work out the other shorter side.
- 26th September 20163 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 27th September 201635 newts are marked and released. Later 36 are caught, of which 6 are marked. Estimate the population.
- 28th September 2016A mass is 61 kg, correct to the nearest whole number. Write down the upper bound.
- 29th September 2016A line has equation y = -4x + 9. Work out the gradient of any line perpendicular to it.
- 30th September 2016y is directly proportional to x. When x = 5, y = 40. Work out y when x = 10.