Daily Practice · Higher
February 2013 - Higher 5-a-day
Every Higher sheet published in February 2013, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' February 2013 sheets in a single PDF, each tier behind its own divider page - 140 sheets in one file.
Every sheet in February 2013
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 2013A, B and C are points on a circle with centre O. Angle AOC is 80°. Work out angle ABC, where B is on the major arc.
- 2nd February 20131 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 3rd February 2013A box plot has a minimum of 20 and a maximum of 37. Work out the range.
- 4th February 2013Write sqrt(45) in the form a sqrt(b), where b is as small as possible.
- 5th February 2013Expand and simplify (x + 1)(x - 2)(x + 2).
- 6th February 2013A block has volume 190 cm^3 and density 11 g/cm^3. Work out its mass.
- 7th February 2013A cone has base radius 6 cm and vertical height 9 cm. Work out its volume, leaving your answer in terms of pi.
- 8th February 201315 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 9th February 2013A box plot has minimum 5, lower quartile 10, median 15, upper quartile 23 and maximum 25. Work out the interquartile range.
- 10th February 2013A meal deal has 6 mains, 7 sides and 6 drinks. How many different meals are possible?
- 11th February 2013Make x the subject of y = 7x^2 - 8.
- 12th February 2013x : y = 7 : 9. Write y in terms of x.
- 13th February 2013In triangle ABC, angle A is 70°, angle B is 67° and side a is 18 cm. Use the sine rule to work out side b, to 1 decimal place.
- 14th February 20137 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 15th February 2013A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 16th February 2013A mass is 250 kg, correct to the nearest 10. Write down the upper bound.
- 17th February 2013Factorise x^2 - 81.
- 18th February 2013A price rises by 10% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 19th February 2013A 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.
- 20th February 201322 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 21st February 2013A histogram class is 10 units wide and contains 25 values. Work out the frequency density.
- 22nd February 2013Write 8^-3 as a fraction.
- 23rd February 2013A region is defined by y < 4x + 8. Should the boundary line be solid or dashed, and why?
- 24th February 2013y is inversely proportional to x. When x = 5, y = 60. Work out y when x = 12.
- 25th February 2013The point (-6, 4) is enlarged by scale factor -1 about the centre (4, -1). Write down the coordinates of the image.
- 26th February 20133 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 27th February 2013Four classes in order have frequencies 3, 3, 11, 3. Write down the cumulative frequency at the end of the third class.
- 28th February 2013Work out (9 x 10^7) x (7 x 10^4). Give your answer in standard form.