Daily Practice · Higher
July 2014 - Higher 5-a-day
Every Higher sheet published in July 2014, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' July 2014 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in July 2014
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st July 2014x : y = 2 : 7. Write y in terms of x.
- 2nd July 2014A right-angled triangle has a hypotenuse of 13 cm and one shorter side of 12 cm. Work out the other shorter side.
- 3rd July 20141 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 4th July 2014A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 5th July 2014Write the recurring decimal 0.777... as a fraction in its simplest form.
- 6th July 2014A line has equation y = 3x + 9. Work out the gradient of any line perpendicular to it.
- 7th July 2014A price rises by 10% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 8th July 2014ABCD is a cyclic quadrilateral. Angle ABC is 112°. Work out angle ADC.
- 9th July 201426 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 10th July 2014A histogram class is 2 units wide and contains 4 values. Work out the frequency density.
- 11th July 2014Work out 125^(2/3).
- 12th July 2014For the curve y = -50/x, work out y when x = -5, and write down the equation of its vertical asymptote.
- 13th July 2014y is inversely proportional to x. When x = 2, y = 5. Work out y when x = 5.
- 14th July 2014A, B and C are points on a circle with centre O. Angle AOC is 154°. Work out angle ABC, where B is on the major arc.
- 15th July 20144 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 16th July 2014Four classes in order have frequencies 7, 3, 12, 9. Write down the cumulative frequency at the end of the third class.
- 17th July 2014Write sqrt(50) in the form a sqrt(b), where b is as small as possible.
- 18th July 2014Expand and simplify (x + 4)(x - 1)(x + 3).
- 19th July 2014y is directly proportional to x^2. When x = 2, y = 32. Work out y when x = 4.
- 20th July 2014A cone has base radius 9 cm and vertical height 6 cm. Work out its volume, leaving your answer in terms of pi.
- 21st July 201424 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 22nd July 201425 newts are marked and released. Later 60 are caught, of which 6 are marked. Estimate the population.
- 23rd July 2014A meal deal has 7 mains, 7 sides and 4 drinks. How many different meals are possible?
- 24th July 2014Make x the subject of y = 9x^2 - 10.
- 25th July 2014y is directly proportional to x. When x = 6, y = 36. Work out y when x = 4.
- 26th July 2014In triangle ABC, angle A is 33°, angle B is 33° and side a is 10 cm. Use the sine rule to work out side b, to 1 decimal place.
- 27th July 20144 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 28th July 2014A cumulative frequency graph is drawn for 204 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 29th July 2014A mass is 33 kg, correct to the nearest whole number. Write down the upper bound.
- 30th July 2014Factorise x^2 - 4.
- 31st July 2014A town's population is 28000 and grows by 3% each year. Work out the population after 2 years, to the nearest whole number.