Daily Practice · Higher
September 2006 - Higher 5-a-day
Every Higher sheet published in September 2006, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' September 2006 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in September 2006
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 200619 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 2nd September 2006A box plot has minimum 5, lower quartile 8, median 15, upper quartile 25 and maximum 29. Work out the interquartile range.
- 3rd September 2006Write the recurring decimal 0.8686... as a fraction in its simplest form.
- 4th September 2006Make x the subject of y = 4x^2 - 8.
- 5th September 2006x : y = 2 : 3. Write y in terms of x.
- 6th September 2006In triangle ABC, angle A is 46°, angle B is 48° and side a is 18 cm. Use the sine rule to work out side b, to 1 decimal place.
- 7th September 20062 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 8th September 2006A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 9th September 2006A bill is £936 including VAT at 20%. Work out the amount before VAT.
- 10th September 2006Factorise x^2 - 49.
- 11th September 2006A price rises by 10% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 12th September 2006A right-angled triangle has sides 10 cm, 24 cm and 26 cm. Work out the angle opposite the 10 cm side, to 1 decimal place.
- 13th September 200620 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 14th September 2006A histogram class is 10 units wide and contains 30 values. Work out the frequency density.
- 15th September 2006A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 16th September 2006A region is defined by y < -2x + 6. Should the boundary line be solid or dashed, and why?
- 17th September 2006y is inversely proportional to x. When x = 2, y = 24. Work out y when x = 6.
- 18th September 2006The point (2, -1) is enlarged by scale factor -3 about the centre (-2, 1). Write down the coordinates of the image.
- 19th September 20068 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 20th September 2006Four classes in order have frequencies 5, 8, 12, 6. Write down the cumulative frequency at the end of the third class.
- 21st September 2006Work out (27 x 10^9) / (3 x 10^2). Give your answer in standard form.
- 22nd September 2006Factorise x^2 - 5x - 6.
- 23rd September 2006y is directly proportional to x^2. When x = 2, y = 12. Work out y when x = 8.
- 24th September 2006Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 54 cm^3. Work out the volume of the smaller.
- 25th September 200617 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 26th September 200630 voles are marked and released. Later 12 are caught, of which 4 are marked. Estimate the population.
- 27th September 2006Write the recurring decimal 0.777... as a fraction in its simplest form.
- 28th September 2006Work out the equation of the line parallel to y = -4x - 3 that passes through (1, -12).
- 29th September 2006y is directly proportional to x. When x = 7, y = 49. Work out y when x = 10.
- 30th September 2006A right-angled triangle has a hypotenuse of 25 cm and one shorter side of 24 cm. Work out the other shorter side.