Daily Practice · Higher
January 2011 - Higher 5-a-day
Every Higher sheet published in January 2011, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' January 2011 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in January 2011
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st January 2011A cone has base radius 8 cm and vertical height 6 cm. Work out its volume, leaving your answer in terms of pi.
- 2nd January 201121 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 3rd January 2011A cumulative frequency graph is drawn for 220 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 4th January 2011Write the recurring decimal 0.8787... as a fraction in its simplest form.
- 5th January 2011Make x the subject of y = 8x^2 - 3.
- 6th January 2011A town's population is 23000 and grows by 8% each year. Work out the population after 5 years, to the nearest whole number.
- 7th January 2011In triangle ABC, angle A is 49°, angle B is 83° and side a is 7 cm. Use the sine rule to work out side b, to 1 decimal place.
- 8th January 20113 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 9th January 2011A box plot has a minimum of 4 and a maximum of 16. Work out the range.
- 10th January 2011A bill is £168 including VAT at 20%. Work out the amount before VAT.
- 11th January 2011Factorise x^2 - 4.
- 12th January 2011A block has volume 85 cm^3 and density 4 g/cm^3. Work out its mass.
- 13th January 2011A right-angled triangle has sides 6 cm, 8 cm and 10 cm. Work out the angle opposite the 6 cm side, to 1 decimal place.
- 14th January 201114 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 15th January 2011A box plot has minimum 12, lower quartile 19, median 25, upper quartile 33 and maximum 38. Work out the interquartile range.
- 16th January 2011A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 17th January 2011A region is defined by y <= -4x + 1. Should the boundary line be solid or dashed, and why?
- 18th January 2011x : y = 3 : 8. Write y in terms of x.
- 19th January 2011The point (-3, 2) is enlarged by scale factor -1 about the centre (-3, -1). Write down the coordinates of the image.
- 20th January 20115 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 21st January 2011A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 22nd January 2011Work out (12 x 10^11) / (2 x 10^3). Give your answer in standard form.
- 23rd January 2011Factorise x^2 + 13x + 42.
- 24th January 2011A price rises by 10% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 25th January 2011Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 144 cm^3. Work out the volume of the smaller.
- 26th January 201113 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 27th January 2011A histogram class is 2 units wide and contains 6 values. Work out the frequency density.
- 28th January 2011Write the recurring decimal 0.222... as a fraction in its simplest form.
- 29th January 2011Work out the equation of the line parallel to y = 5x - 6 that passes through (4, 25).
- 30th January 2011y is inversely proportional to x. When x = 2, y = 10. Work out y when x = 5.
- 31st January 2011A right-angled triangle has a hypotenuse of 10 cm and one shorter side of 6 cm. Work out the other shorter side.