Daily Practice · Higher
May 2016 - Higher 5-a-day
Every Higher sheet published in May 2016, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' May 2016 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 2016
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 2016Work out 125^(2/3).
- 2nd May 2016Work out the equation of the line parallel to y = 2x - 5 that passes through (5, 6).
- 3rd May 2016x : y = 2 : 5. Write y in terms of x.
- 4th May 2016A right-angled triangle has a hypotenuse of 26 cm and one shorter side of 24 cm. Work out the other shorter side.
- 5th May 20163 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 6th May 2016A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 7th May 2016Write sqrt(98) in the form a sqrt(b), where b is as small as possible.
- 8th May 2016A line has equation y = 2x + 7. Work out the gradient of any line perpendicular to it.
- 9th May 2016A price rises by 15% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 10th May 2016ABCD is a cyclic quadrilateral. Angle ABC is 82°. Work out angle ADC.
- 11th May 201616 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 12th May 2016A histogram class is 10 units wide and contains 5 values. Work out the frequency density.
- 13th May 2016A meal deal has 3 mains, 5 sides and 6 drinks. How many different meals are possible?
- 14th May 2016For the curve y = 8/x, work out y when x = 1, and write down the equation of its vertical asymptote.
- 15th May 2016y is inversely proportional to x. When x = 2, y = 24. Work out y when x = 12.
- 16th May 2016A, B and C are points on a circle with centre O. Angle AOC is 166°. Work out angle ABC, where B is on the major arc.
- 17th May 20166 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 18th May 2016Four classes in order have frequencies 5, 7, 4, 12. Write down the cumulative frequency at the end of the third class.
- 19th May 2016A mass is 39 kg, correct to the nearest whole number. Write down the upper bound.
- 20th May 2016Expand and simplify (x + 5)(x - 2)(x + 5).
- 21st May 2016y is directly proportional to x^2. When x = 4, y = 64. Work out y when x = 3.
- 22nd May 2016A cone has base radius 8 cm and vertical height 18 cm. Work out its volume, leaving your answer in terms of pi.
- 23rd May 201616 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 24th May 201650 fish are marked and released. Later 56 are caught, of which 8 are marked. Estimate the population.
- 25th May 2016Write 7^-1 as a fraction.
- 26th May 2016Make x the subject of y = 6x^2 - 6.
- 27th May 2016y is directly proportional to x. When x = 6, y = 54. Work out y when x = 13.
- 28th May 2016In triangle ABC, angle A is 60°, angle B is 63° and side a is 18 cm. Use the sine rule to work out side b, to 1 decimal place.
- 29th May 20163 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 30th May 2016A cumulative frequency graph is drawn for 132 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 31st May 2016Work out (6 x 10^4) x (4 x 10^-6). Give your answer in standard form.