Daily Practice · Higher
January 2012 - Higher 5-a-day
Every Higher sheet published in January 2012, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' January 2012 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in January 2012
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st January 2012y is inversely proportional to x. When x = 7, y = 48. Work out y when x = 12.
- 2nd January 2012A right-angled triangle has a hypotenuse of 13 cm and one shorter side of 12 cm. Work out the other shorter side.
- 3rd January 20123 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 4th January 2012Four classes in order have frequencies 12, 4, 10, 8. Write down the cumulative frequency at the end of the third class.
- 5th January 2012Write sqrt(72) in the form a sqrt(b), where b is as small as possible.
- 6th January 2012A line has equation y = -3x + 8. Work out the gradient of any line perpendicular to it.
- 7th January 2012y is directly proportional to x^2. When x = 3, y = 36. Work out y when x = 9.
- 8th January 2012ABCD is a cyclic quadrilateral. Angle ABC is 81°. Work out angle ADC.
- 9th January 201221 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 10th January 201235 beetles are marked and released. Later 40 are caught, of which 5 are marked. Estimate the population.
- 11th January 2012A meal deal has 6 mains, 6 sides and 6 drinks. How many different meals are possible?
- 12th January 2012For the curve y = 90/x, work out y when x = -10, and write down the equation of its vertical asymptote.
- 13th January 2012y is directly proportional to x. When x = 4, y = 28. Work out y when x = 13.
- 14th January 2012A, B and C are points on a circle with centre O. Angle AOC is 122°. Work out angle ABC, where B is on the major arc.
- 15th January 20121 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 16th January 2012A cumulative frequency graph is drawn for 168 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 17th January 2012A mass is 630 kg, correct to the nearest 10. Write down the lower bound.
- 18th January 2012Expand and simplify (x + 4)(x - 1)(x + 2).
- 19th January 2012A town's population is 12000 and grows by 4% each year. Work out the population after 4 years, to the nearest whole number.
- 20th January 2012A cone has base radius 2 cm and vertical height 12 cm. Work out its volume, leaving your answer in terms of pi.
- 21st January 201227 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 22nd January 2012A box plot has a minimum of 4 and a maximum of 46. Work out the range.
- 23rd January 2012Write 3^-3 as a fraction.
- 24th January 2012Make x the subject of y = 2x^2 - 9.
- 25th January 2012A block has volume 75 cm^3 and density 3 g/cm^3. Work out its mass.
- 26th January 2012In triangle ABC, angle A is 37°, angle B is 32° and side a is 19 cm. Use the sine rule to work out side b, to 1 decimal place.
- 27th January 20127 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 28th January 2012A box plot has minimum 2, lower quartile 6, median 12, upper quartile 15 and maximum 22. Work out the interquartile range.
- 29th January 2012Work out (3 x 10^4) x (5 x 10^-6). Give your answer in standard form.
- 30th January 2012Factorise x^2 - 25.
- 31st January 2012x : y = 3 : 7. Write y in terms of x.