Daily Practice · Higher
August 2017 - Higher 5-a-day
Every Higher sheet published in August 2017, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' August 2017 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in August 2017
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 2017Make x the subject of y = 5x^2 - 8.
- 2nd August 2017A block has volume 30 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 3rd August 2017In triangle ABC, angle A is 34°, angle B is 115° and side a is 13 cm. Use the sine rule to work out side b, to 1 decimal place.
- 4th August 20178 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 5th August 2017A box plot has minimum 7, lower quartile 16, median 25, upper quartile 27 and maximum 35. Work out the interquartile range.
- 6th August 2017Work out 81^(3/2).
- 7th August 2017Factorise x^2 - 16.
- 8th August 2017x : y = 4 : 7. Write y in terms of x.
- 9th August 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.
- 10th August 201721 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 11th August 2017A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 12th August 2017Write sqrt(32) in the form a sqrt(b), where b is as small as possible.
- 13th August 2017A region is defined by y < 3x - 4. Should the boundary line be solid or dashed, and why?
- 14th August 2017A price rises by 10% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 15th August 2017The point (4, -4) is enlarged by scale factor -1 about the centre (2, 1). Write down the coordinates of the image.
- 16th August 20173 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 17th August 2017A histogram class is 5 units wide and contains 15 values. Work out the frequency density.
- 18th August 2017A meal deal has 9 mains, 8 sides and 4 drinks. How many different meals are possible?
- 19th August 2017Factorise x^2 + 9x + 18.
- 20th August 2017y is inversely proportional to x. When x = 8, y = 3. Work out y when x = 3.
- 21st August 2017Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 640 cm^3. Work out the volume of the smaller.
- 22nd August 201724 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 23rd August 2017Four classes in order have frequencies 6, 7, 9, 10. Write down the cumulative frequency at the end of the third class.
- 24th August 2017A mass is 27 kg, correct to the nearest whole number. Write down the upper bound.
- 25th August 2017Work out the equation of the line parallel to y = -2x - 5 that passes through (6, -15).
- 26th August 2017y is directly proportional to x^2. When x = 3, y = 54. Work out y when x = 9.
- 27th August 2017A right-angled triangle has a hypotenuse of 17 cm and one shorter side of 15 cm. Work out the other shorter side.
- 28th August 20176 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 29th August 201750 fish are marked and released. Later 56 are caught, of which 7 are marked. Estimate the population.
- 30th August 2017Write 8^-2 as a fraction.
- 31st August 2017A line has equation y = 2x + 9. Work out the gradient of any line perpendicular to it.