Daily Practice · Higher
January 2008 - Higher 5-a-day
Every Higher sheet published in January 2008, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' January 2008 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in January 2008
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st January 200835 newts are marked and released. Later 70 are caught, of which 7 are marked. Estimate the population.
- 2nd January 2008Write the recurring decimal 0.777... as a fraction in its simplest form.
- 3rd January 2008Factorise x^2 - 9.
- 4th January 2008y is directly proportional to x. When x = 8, y = 88. Work out y when x = 15.
- 5th January 2008A 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.
- 6th January 200814 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 7th January 2008A cumulative frequency graph is drawn for 120 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 8th January 2008Work out 64^(2/3).
- 9th January 2008A region is defined by y <= -x + 1. Should the boundary line be solid or dashed, and why?
- 10th January 2008A town's population is 29000 and grows by 8% each year. Work out the population after 2 years, to the nearest whole number.
- 11th January 2008The point (3, -2) is enlarged by scale factor -3 about the centre (3, -4). Write down the coordinates of the image.
- 12th January 20084 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 13th January 2008A box plot has a minimum of 13 and a maximum of 44. Work out the range.
- 14th January 2008Write sqrt(12) in the form a sqrt(b), where b is as small as possible.
- 15th January 2008Factorise x^2 + 2x - 35.
- 16th January 2008A block has volume 145 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 17th January 2008Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 810 cm^3. Work out the volume of the smaller.
- 18th January 200814 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 19th January 2008A box plot has minimum 15, lower quartile 21, median 24, upper quartile 31 and maximum 36. Work out the interquartile range.
- 20th January 2008A meal deal has 4 mains, 7 sides and 4 drinks. How many different meals are possible?
- 21st January 2008Work out the equation of the line parallel to y = -4x + 2 that passes through (3, -5).
- 22nd January 2008x : y = 5 : 9. Write y in terms of x.
- 23rd January 2008A right-angled triangle has a hypotenuse of 5 cm and one shorter side of 4 cm. Work out the other shorter side.
- 24th January 20081 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 25th January 2008A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 26th January 2008A mass is 360 kg, correct to the nearest 10. Write down the upper bound.
- 27th January 2008A line has equation y = 4x + 8. Work out the gradient of any line perpendicular to it.
- 28th January 2008A price rises by 25% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 29th January 2008ABCD is a cyclic quadrilateral. Angle ABC is 68°. Work out angle ADC.
- 30th January 200816 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 31st January 2008A histogram class is 20 units wide and contains 30 values. Work out the frequency density.