Daily Practice · Higher
July 2001 - Higher 5-a-day
Every Higher sheet published in July 2001, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' July 2001 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in July 2001
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st July 2001Write the recurring decimal 0.777... as a fraction in its simplest form.
- 2nd July 2001A line has equation y = 2x + 3. Work out the gradient of any line perpendicular to it.
- 3rd July 2001x : y = 5 : 6. Write y in terms of x.
- 4th July 2001ABCD is a cyclic quadrilateral. Angle ABC is 91°. Work out angle ADC.
- 5th July 200117 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 6th July 2001A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 7th July 2001Work out 81^(3/2).
- 8th July 2001For the curve y = 10/x, work out y when x = -10, and write down the equation of its vertical asymptote.
- 9th July 2001A price rises by 20% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 10th July 2001A, B and C are points on a circle with centre O. Angle AOC is 48°. Work out angle ABC, where B is on the major arc.
- 11th July 20011 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 12th July 2001A histogram class is 5 units wide and contains 12.5 values. Work out the frequency density.
- 13th July 2001Write sqrt(18) in the form a sqrt(b), where b is as small as possible.
- 14th July 2001Expand and simplify (x + 2)(x - 3)(x - 5).
- 15th July 2001y is inversely proportional to x. When x = 7, y = 24. Work out y when x = 6.
- 16th July 2001A cone has base radius 4 cm and vertical height 21 cm. Work out its volume, leaving your answer in terms of pi.
- 17th July 200112 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 18th July 2001Four classes in order have frequencies 8, 3, 10, 8. Write down the cumulative frequency at the end of the third class.
- 19th July 2001A meal deal has 4 mains, 3 sides and 2 drinks. How many different meals are possible?
- 20th July 2001Make x the subject of y = 6x^2 - 7.
- 21st July 2001y is directly proportional to x^2. When x = 5, y = 100. Work out y when x = 3.
- 22nd July 2001In triangle ABC, angle A is 43°, angle B is 90° and side a is 11 cm. Use the sine rule to work out side b, to 1 decimal place.
- 23rd July 20014 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 24th July 200135 beetles are marked and released. Later 54 are caught, of which 6 are marked. Estimate the population.
- 25th July 2001A mass is 39 kg, correct to the nearest whole number. Write down the lower bound.
- 26th July 2001Factorise x^2 - 4.
- 27th July 2001y is directly proportional to x. When x = 3, y = 30. Work out y when x = 15.
- 28th July 2001A right-angled triangle has sides 9 cm, 12 cm and 15 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
- 29th July 200123 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 30th July 2001A cumulative frequency graph is drawn for 156 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 31st July 2001Write 8^-1 as a fraction.