Daily Practice · Higher
June 2015 - Higher 5-a-day
Every Higher sheet published in June 2015, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' June 2015 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in June 2015
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 2015Work out the equation of the line parallel to y = -5x + 7 that passes through (5, -19).
- 2nd June 2015x : y = 5 : 8. Write y in terms of x.
- 3rd June 2015A right-angled triangle has a hypotenuse of 29 cm and one shorter side of 21 cm. Work out the other shorter side.
- 4th June 20154 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 5th June 2015A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 6th June 2015Work out 36^(3/2).
- 7th June 2015A line has equation y = -3x + 7. Work out the gradient of any line perpendicular to it.
- 8th June 2015A price rises by 20% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 9th June 2015ABCD is a cyclic quadrilateral. Angle ABC is 111°. Work out angle ADC.
- 10th June 201519 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 11th June 2015A histogram class is 5 units wide and contains 12.5 values. Work out the frequency density.
- 12th June 2015Write sqrt(20) in the form a sqrt(b), where b is as small as possible.
- 13th June 2015For the curve y = 50/x, work out y when x = -5, and write down the equation of its vertical asymptote.
- 14th June 2015y is inversely proportional to x. When x = 4, y = 24. Work out y when x = 12.
- 15th June 2015A, B and C are points on a circle with centre O. Angle AOC is 108°. Work out angle ABC, where B is on the major arc.
- 16th June 20152 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 17th June 2015Four classes in order have frequencies 6, 10, 7, 3. Write down the cumulative frequency at the end of the third class.
- 18th June 2015A meal deal has 8 mains, 6 sides and 4 drinks. How many different meals are possible?
- 19th June 2015Expand and simplify (x - 1)(x - 3)(x + 4).
- 20th June 2015y is directly proportional to x^2. When x = 3, y = 81. Work out y when x = 9.
- 21st June 2015A cone has base radius 8 cm and vertical height 3 cm. Work out its volume, leaving your answer in terms of pi.
- 22nd June 201515 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 23rd June 201515 beetles are marked and released. Later 25 are caught, of which 5 are marked. Estimate the population.
- 24th June 2015A mass is 4.7 kg, correct to 1 decimal place. Write down the lower bound.
- 25th June 2015Make x the subject of y = 2x^2 - 11.
- 26th June 2015y is directly proportional to x. When x = 8, y = 32. Work out y when x = 12.
- 27th June 2015In triangle ABC, angle A is 54°, angle B is 65° and side a is 11 cm. Use the sine rule to work out side b, to 1 decimal place.
- 28th June 20153 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 29th June 2015A cumulative frequency graph is drawn for 112 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 30th June 2015Write 2^-2 as a fraction.