Daily Practice · Higher
August 2007 - Higher 5-a-day
Every Higher sheet published in August 2007, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' August 2007 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in August 2007
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 2007A block has volume 170 cm^3 and density 3 g/cm^3. Work out its mass.
- 2nd August 2007A cone has base radius 4 cm and vertical height 9 cm. Work out its volume, leaving your answer in terms of pi.
- 3rd August 200716 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 4th August 2007A box plot has minimum 3, lower quartile 9, median 19, upper quartile 26 and maximum 31. Work out the interquartile range.
- 5th August 2007A bill is £840 including VAT at 20%. Work out the amount before VAT.
- 6th August 2007Make x the subject of y = 7x^2 - 10.
- 7th August 2007x : y = 5 : 8. Write y in terms of x.
- 8th August 2007In triangle ABC, angle A is 54°, angle B is 30° and side a is 13 cm. Use the sine rule to work out side b, to 1 decimal place.
- 9th August 20071 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 10th August 2007A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 11th August 2007A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 12th August 2007Factorise x^2 - 49.
- 13th August 2007A price rises by 20% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 14th August 2007A right-angled triangle has sides 7 cm, 24 cm and 25 cm. Work out the angle opposite the 7 cm side, to 1 decimal place.
- 15th August 200720 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 16th August 2007A histogram class is 5 units wide and contains 12.5 values. Work out the frequency density.
- 17th August 2007Work out (72 x 10^10) / (9 x 10^4). Give your answer in standard form.
- 18th August 2007A region is defined by y < -x - 2. Should the boundary line be solid or dashed, and why?
- 19th August 2007y is inversely proportional to x. When x = 6, y = 24. Work out y when x = 12.
- 20th August 2007The point (-1, 3) is enlarged by scale factor -1 about the centre (3, -1). Write down the coordinates of the image.
- 21st August 20073 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 22nd August 2007Four classes in order have frequencies 3, 6, 11, 10. Write down the cumulative frequency at the end of the third class.
- 23rd August 2007Write the recurring decimal 0.888... as a fraction in its simplest form.
- 24th August 2007Factorise x^2 - 11x + 18.
- 25th August 2007y is directly proportional to x^2. When x = 6, y = 288. Work out y when x = 2.
- 26th August 2007Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 405 cm^3. Work out the volume of the smaller.
- 27th August 200715 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 28th August 200760 voles are marked and released. Later 90 are caught, of which 9 are marked. Estimate the population.
- 29th August 2007Work out 100^(3/2).
- 30th August 2007Work out the equation of the line parallel to y = x - 5 that passes through (5, -6).
- 31st August 2007y is directly proportional to x. When x = 8, y = 64. Work out y when x = 14.