Daily Practice · Higher
May 2010 - Higher 5-a-day
Every Higher sheet published in May 2010, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' May 2010 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 2010
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 20102 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 2nd May 2010A box plot has a minimum of 5 and a maximum of 47. Work out the range.
- 3rd May 2010Work out (21 x 10^11) / (7 x 10^5). Give your answer in standard form.
- 4th May 2010Expand and simplify (x + 2)(x + 4)(x - 1).
- 5th May 2010A block has volume 70 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 6th May 2010A cone has base radius 10 cm and vertical height 6 cm. Work out its volume, leaving your answer in terms of pi.
- 7th May 201028 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 8th May 2010A box plot has minimum 14, lower quartile 23, median 33, upper quartile 38 and maximum 47. Work out the interquartile range.
- 9th May 2010Write the recurring decimal 0.222... as a fraction in its simplest form.
- 10th May 2010Make x the subject of y = 2x^2 - 9.
- 11th May 2010x : y = 3 : 4. Write y in terms of x.
- 12th May 2010In triangle ABC, angle A is 48°, angle B is 49° and side a is 17 cm. Use the sine rule to work out side b, to 1 decimal place.
- 13th May 20101 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 14th May 2010A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 15th May 2010Work out 216^(2/3).
- 16th May 2010Factorise x^2 - 121.
- 17th May 2010A price rises by 10% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 18th May 2010A right-angled triangle has sides 20 cm, 21 cm and 29 cm. Work out the angle opposite the 20 cm side, to 1 decimal place.
- 19th May 201029 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 20th May 2010A histogram class is 2 units wide and contains 4 values. Work out the frequency density.
- 21st May 2010Write sqrt(75) in the form a sqrt(b), where b is as small as possible.
- 22nd May 2010A region is defined by y < 3x - 6. Should the boundary line be solid or dashed, and why?
- 23rd May 2010y is inversely proportional to x. When x = 7, y = 10. Work out y when x = 5.
- 24th May 2010The point (-2, 5) is enlarged by scale factor -3 about the centre (3, 3). Write down the coordinates of the image.
- 25th May 20101 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 26th May 2010Four classes in order have frequencies 11, 5, 6, 5. Write down the cumulative frequency at the end of the third class.
- 27th May 2010A meal deal has 7 mains, 9 sides and 2 drinks. How many different meals are possible?
- 28th May 2010Factorise x^2 - 11x + 30.
- 29th May 2010y is directly proportional to x^2. When x = 3, y = 27. Work out y when x = 5.
- 30th May 2010Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 208 cm^3. Work out the volume of the smaller.
- 31st May 201022 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.