Daily Practice · Higher
January 2010 - Higher 5-a-day
Every Higher sheet published in January 2010, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' January 2010 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in January 2010
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st January 20101 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 2nd January 2010A box plot has minimum 3, lower quartile 13, median 16, upper quartile 25 and maximum 35. Work out the interquartile range.
- 3rd January 2010Work out 25^(3/2).
- 4th January 2010Factorise x^2 - 8x - 9.
- 5th January 2010x : y = 3 : 4. Write y in terms of x.
- 6th January 2010Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 108 cm^3. Work out the volume of the smaller.
- 7th January 201013 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 8th January 2010A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 9th January 2010Write sqrt(20) in the form a sqrt(b), where b is as small as possible.
- 10th January 2010Work out the equation of the line parallel to y = 5x + 5 that passes through (3, 22).
- 11th January 2010A price rises by 20% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 12th January 2010A right-angled triangle has a hypotenuse of 25 cm and one shorter side of 7 cm. Work out the other shorter side.
- 13th January 20102 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 14th January 2010A histogram class is 20 units wide and contains 30 values. Work out the frequency density.
- 15th January 2010A meal deal has 6 mains, 8 sides and 6 drinks. How many different meals are possible?
- 16th January 2010A line has equation y = -3x + 6. Work out the gradient of any line perpendicular to it.
- 17th January 2010y is inversely proportional to x. When x = 2, y = 12. Work out y when x = 6.
- 18th January 2010ABCD is a cyclic quadrilateral. Angle ABC is 128°. Work out angle ADC.
- 19th January 201020 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 20th January 2010Four classes in order have frequencies 12, 9, 6, 8. Write down the cumulative frequency at the end of the third class.
- 21st January 2010A mass is 50 kg, correct to the nearest 10. Write down the upper bound.
- 22nd January 2010For the curve y = -6/x, work out y when x = 1, and write down the equation of its vertical asymptote.
- 23rd January 2010y is directly proportional to x^2. When x = 5, y = 150. Work out y when x = 2.
- 24th January 2010A, B and C are points on a circle with centre O. Angle AOC is 98°. Work out angle ABC, where B is on the major arc.
- 25th January 20103 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 26th January 201050 voles are marked and released. Later 20 are caught, of which 4 are marked. Estimate the population.
- 27th January 2010Write 6^-1 as a fraction.
- 28th January 2010Expand and simplify (x - 3)(x + 2)(x + 1).
- 29th January 2010y is directly proportional to x. When x = 2, y = 20. Work out y when x = 12.
- 30th January 2010A cone has base radius 4 cm and vertical height 9 cm. Work out its volume, leaving your answer in terms of pi.
- 31st January 201025 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.