Daily Practice · Higher
May 2014 - Higher 5-a-day
Every Higher sheet published in May 2014, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' May 2014 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 2014
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 2014A region is defined by y < -3x + 9. Should the boundary line be solid or dashed, and why?
- 2nd May 2014y is directly proportional to x. When x = 4, y = 32. Work out y when x = 10.
- 3rd May 2014The point (4, 0) is enlarged by scale factor -3 about the centre (1, 2). Write down the coordinates of the image.
- 4th May 20143 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 5th May 2014A cumulative frequency graph is drawn for 84 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 6th May 2014Work out 25^(3/2).
- 7th May 2014Factorise x^2 - 5x + 6.
- 8th May 2014A town's population is 6500 and grows by 6% each year. Work out the population after 3 years, to the nearest whole number.
- 9th May 2014Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 144 cm^3. Work out the volume of the smaller.
- 10th May 201411 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 11th May 2014A box plot has a minimum of 13 and a maximum of 58. Work out the range.
- 12th May 2014Write sqrt(27) in the form a sqrt(b), where b is as small as possible.
- 13th May 2014Work out the equation of the line parallel to y = 2x - 7 that passes through (3, -6).
- 14th May 2014A block has volume 195 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 15th May 2014A right-angled triangle has a hypotenuse of 41 cm and one shorter side of 9 cm. Work out the other shorter side.
- 16th May 20141 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 17th May 2014A box plot has minimum 9, lower quartile 15, median 21, upper quartile 29 and maximum 36. Work out the interquartile range.
- 18th May 2014A meal deal has 6 mains, 6 sides and 5 drinks. How many different meals are possible?
- 19th May 2014A line has equation y = 4x + 5. Work out the gradient of any line perpendicular to it.
- 20th May 2014x : y = 3 : 8. Write y in terms of x.
- 21st May 2014ABCD is a cyclic quadrilateral. Angle ABC is 119°. Work out angle ADC.
- 22nd May 201423 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 23rd May 2014A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 24th May 2014A mass is 46 kg, correct to the nearest whole number. Write down the upper bound.
- 25th May 2014For the curve y = -60/x, work out y when x = 10, and write down the equation of its vertical asymptote.
- 26th May 2014A price rises by 25% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 27th May 2014A, B and C are points on a circle with centre O. Angle AOC is 106°. Work out angle ABC, where B is on the major arc.
- 28th May 20141 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 29th May 2014A histogram class is 2 units wide and contains 8 values. Work out the frequency density.
- 30th May 2014Write 4^-1 as a fraction.
- 31st May 2014Expand and simplify (x + 2)(x - 3)(x + 4).