Daily Practice · Higher
August 2004 - Higher 5-a-day
Every Higher sheet published in August 2004, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' August 2004 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in August 2004
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 2004A box plot has a minimum of 18 and a maximum of 45. Work out the range.
- 2nd August 2004Work out 8^(2/3).
- 3rd August 2004Factorise x^2 - 9.
- 4th August 2004A block has volume 200 cm^3 and density 11 g/cm^3. Work out its mass.
- 5th August 2004A right-angled triangle has sides 12 cm, 16 cm and 20 cm. Work out the angle opposite the 12 cm side, to 1 decimal place.
- 6th August 200426 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 7th August 2004A box plot has minimum 12, lower quartile 16, median 23, upper quartile 32 and maximum 41. Work out the interquartile range.
- 8th August 2004Write sqrt(20) in the form a sqrt(b), where b is as small as possible.
- 9th August 2004A region is defined by y <= x - 6. Should the boundary line be solid or dashed, and why?
- 10th August 2004x : y = 5 : 7. Write y in terms of x.
- 11th August 2004The point (-6, -3) is enlarged by scale factor -3 about the centre (1, 2). Write down the coordinates of the image.
- 12th August 20041 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 13th August 2004A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 14th August 2004A meal deal has 5 mains, 8 sides and 5 drinks. How many different meals are possible?
- 15th August 2004Factorise x^2 - 4x - 5.
- 16th August 2004A price rises by 20% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 17th August 2004Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 567 cm^3. Work out the volume of the smaller.
- 18th August 200417 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 19th August 2004A histogram class is 4 units wide and contains 6 values. Work out the frequency density.
- 20th August 2004A mass is 590 kg, correct to the nearest 10. Write down the upper bound.
- 21st August 2004Work out the equation of the line parallel to y = -5x + 8 that passes through (2, -18).
- 22nd August 2004y is inversely proportional to x. When x = 6, y = 10. Work out y when x = 2.
- 23rd August 2004A right-angled triangle has a hypotenuse of 5 cm and one shorter side of 3 cm. Work out the other shorter side.
- 24th August 20045 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 25th August 2004Four classes in order have frequencies 8, 11, 12, 3. Write down the cumulative frequency at the end of the third class.
- 26th August 2004Write 6^-2 as a fraction.
- 27th August 2004A line has equation y = 3x + 8. Work out the gradient of any line perpendicular to it.
- 28th August 2004y is directly proportional to x^2. When x = 6, y = 252. Work out y when x = 3.
- 29th August 2004ABCD is a cyclic quadrilateral. Angle ABC is 67°. Work out angle ADC.
- 30th August 200410 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 31st August 200455 voles are marked and released. Later 72 are caught, of which 8 are marked. Estimate the population.