Daily Practice · Higher
May 2020 - Higher 5-a-day
Every Higher sheet published in May 2020, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' May 2020 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 2020
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 2020A cone has base radius 3 cm and vertical height 18 cm. Work out its volume, leaving your answer in terms of pi.
- 2nd May 202021 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 3rd May 2020A box plot has a minimum of 4 and a maximum of 34. Work out the range.
- 4th May 2020A meal deal has 8 mains, 8 sides and 4 drinks. How many different meals are possible?
- 5th May 2020Make x the subject of y = 4x^2 - 6.
- 6th May 2020A block has volume 150 cm^3 and density 3 g/cm^3. Work out its mass.
- 7th May 2020In triangle ABC, angle A is 75°, angle B is 72° and side a is 8 cm. Use the sine rule to work out side b, to 1 decimal place.
- 8th May 20202 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 9th May 2020A box plot has minimum 7, lower quartile 16, median 18, upper quartile 24 and maximum 29. Work out the interquartile range.
- 10th May 2020A mass is 630 kg, correct to the nearest 10. Write down the lower bound.
- 11th May 2020Factorise x^2 - 9.
- 12th May 2020x : y = 4 : 9. Write y in terms of x.
- 13th May 2020A 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.
- 14th May 202013 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 15th May 2020A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 16th May 2020Write 3^-3 as a fraction.
- 17th May 2020A region is defined by y < -5x - 5. Should the boundary line be solid or dashed, and why?
- 18th May 2020A price rises by 25% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 19th May 2020The point (4, -4) is enlarged by scale factor -3 about the centre (-2, -4). Write down the coordinates of the image.
- 20th May 20203 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 21st May 2020A histogram class is 10 units wide and contains 20 values. Work out the frequency density.
- 22nd May 2020Work out (3 x 10^4) x (9 x 10^-4). Give your answer in standard form.
- 23rd May 2020Factorise x^2 + 3x - 4.
- 24th May 2020y is inversely proportional to x. When x = 8, y = 15. Work out y when x = 3.
- 25th May 2020Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 648 cm^3. Work out the volume of the smaller.
- 26th May 202019 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 27th May 2020Four classes in order have frequencies 7, 12, 3, 3. Write down the cumulative frequency at the end of the third class.
- 28th May 2020Write the recurring decimal 0.6868... as a fraction in its simplest form.
- 29th May 2020Work out the equation of the line parallel to y = 2x + 8 that passes through (1, 10).
- 30th May 2020y is directly proportional to x^2. When x = 2, y = 28. Work out y when x = 6.
- 31st May 2020A right-angled triangle has a hypotenuse of 26 cm and one shorter side of 24 cm. Work out the other shorter side.