Daily Practice · Higher
July 2018 - Higher 5-a-day
Every Higher sheet published in July 2018, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' July 2018 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in July 2018
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st July 2018A box plot has a minimum of 9 and a maximum of 41. Work out the range.
- 2nd July 2018Work out 100^(3/2).
- 3rd July 2018Make x the subject of y = 8x^2 - 7.
- 4th July 2018A block has volume 15 cm^3 and density 11 g/cm^3. Work out its mass.
- 5th July 2018In triangle ABC, angle A is 54°, angle B is 70° and side a is 8 cm. Use the sine rule to work out side b, to 1 decimal place.
- 6th July 20185 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 7th July 2018A box plot has minimum 14, lower quartile 17, median 19, upper quartile 22 and maximum 28. Work out the interquartile range.
- 8th July 2018Write sqrt(32) in the form a sqrt(b), where b is as small as possible.
- 9th July 2018Factorise x^2 - 25.
- 10th July 2018x : y = 5 : 8. Write y in terms of x.
- 11th July 2018A right-angled triangle has sides 9 cm, 40 cm and 41 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
- 12th July 201824 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 13th July 2018A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 14th July 2018A meal deal has 4 mains, 7 sides and 2 drinks. How many different meals are possible?
- 15th July 2018A region is defined by y < -3x + 2. Should the boundary line be solid or dashed, and why?
- 16th July 2018A price rises by 25% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 17th July 2018The point (-6, -4) is enlarged by scale factor -1 about the centre (-4, 0). Write down the coordinates of the image.
- 18th July 20182 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 19th July 2018A histogram class is 10 units wide and contains 30 values. Work out the frequency density.
- 20th July 2018A mass is 460 kg, correct to the nearest 10. Write down the upper bound.
- 21st July 2018Factorise x^2 + x - 30.
- 22nd July 2018y is inversely proportional to x. When x = 2, y = 18. Work out y when x = 6.
- 23rd July 2018Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 184 cm^3. Work out the volume of the smaller.
- 24th July 201818 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 25th July 2018Four classes in order have frequencies 3, 3, 11, 7. Write down the cumulative frequency at the end of the third class.
- 26th July 2018Write 6^-1 as a fraction.
- 27th July 2018Work out the equation of the line parallel to y = -x + 9 that passes through (3, 3).
- 28th July 2018y is directly proportional to x^2. When x = 2, y = 16. Work out y when x = 5.
- 29th July 2018A right-angled triangle has a hypotenuse of 29 cm and one shorter side of 20 cm. Work out the other shorter side.
- 30th July 20181 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 31st July 201850 newts are marked and released. Later 56 are caught, of which 7 are marked. Estimate the population.