Daily Practice · Higher
May 2018 - Higher 5-a-day
Every Higher sheet published in May 2018, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' May 2018 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 2018
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 201812 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 2nd May 2018Four classes in order have frequencies 10, 7, 10, 4. Write down the cumulative frequency at the end of the third class.
- 3rd May 2018Write sqrt(50) in the form a sqrt(b), where b is as small as possible.
- 4th May 2018For the curve y = -1/x, work out y when x = 1, and write down the equation of its vertical asymptote.
- 5th May 2018y is directly proportional to x^2. When x = 4, y = 96. Work out y when x = 9.
- 6th May 2018A, B and C are points on a circle with centre O. Angle AOC is 144°. Work out angle ABC, where B is on the major arc.
- 7th May 20186 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 8th May 201855 voles are marked and released. Later 27 are caught, of which 3 are marked. Estimate the population.
- 9th May 2018A meal deal has 9 mains, 4 sides and 3 drinks. How many different meals are possible?
- 10th May 2018Expand and simplify (x + 1)(x - 3)(x + 1).
- 11th May 2018y is directly proportional to x. When x = 5, y = 50. Work out y when x = 10.
- 12th May 2018A cone has base radius 3 cm and vertical height 18 cm. Work out its volume, leaving your answer in terms of pi.
- 13th May 201818 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 14th May 2018A cumulative frequency graph is drawn for 176 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 15th May 2018A mass is 680 kg, correct to the nearest 10. Write down the upper bound.
- 16th May 2018Make x the subject of y = 7x^2 - 5.
- 17th May 2018A town's population is 23500 and grows by 8% each year. Work out the population after 5 years, to the nearest whole number.
- 18th May 2018In triangle ABC, angle A is 41°, angle B is 66° and side a is 13 cm. Use the sine rule to work out side b, to 1 decimal place.
- 19th May 20187 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 20th May 2018A box plot has a minimum of 13 and a maximum of 33. Work out the range.
- 21st May 2018Write 8^-3 as a fraction.
- 22nd May 2018Factorise x^2 - 100.
- 23rd May 2018A block has volume 90 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 24th May 2018A 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.
- 25th May 201811 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 26th May 2018A box plot has minimum 1, lower quartile 8, median 18, upper quartile 25 and maximum 33. Work out the interquartile range.
- 27th May 2018Work out (4 x 10^4) x (7 x 10^4). Give your answer in standard form.
- 28th May 2018A region is defined by y <= -5x + 8. Should the boundary line be solid or dashed, and why?
- 29th May 2018x : y = 5 : 9. Write y in terms of x.
- 30th May 2018The point (-5, 3) is enlarged by scale factor -2 about the centre (2, 2). Write down the coordinates of the image.
- 31st May 20186 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.