Daily Practice · Higher
March 2012 - Higher 5-a-day
Every Higher sheet published in March 2012, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' March 2012 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 2012
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 2012A town's population is 2500 and grows by 8% each year. Work out the population after 3 years, to the nearest whole number.
- 2nd March 2012A, B and C are points on a circle with centre O. Angle AOC is 144°. Work out angle ABC, where B is on the major arc.
- 3rd March 20123 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 4th March 2012A box plot has a minimum of 2 and a maximum of 21. Work out the range.
- 5th March 2012Work out 16^(3/2).
- 6th March 2012Expand and simplify (x - 4)(x - 5)(x + 4).
- 7th March 2012A block has volume 185 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 8th March 2012A cone has base radius 6 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
- 9th March 201217 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 10th March 2012A box plot has minimum 13, lower quartile 22, median 26, upper quartile 32 and maximum 37. Work out the interquartile range.
- 11th March 2012Write sqrt(50) in the form a sqrt(b), where b is as small as possible.
- 12th March 2012Make x the subject of y = 7x^2 - 10.
- 13th March 2012x : y = 2 : 9. Write y in terms of x.
- 14th March 2012In triangle ABC, angle A is 30°, angle B is 55° and side a is 5 cm. Use the sine rule to work out side b, to 1 decimal place.
- 15th March 20122 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 16th March 2012A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 17th March 2012A meal deal has 6 mains, 8 sides and 5 drinks. How many different meals are possible?
- 18th March 2012Factorise x^2 - 144.
- 19th March 2012A price rises by 15% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 20th March 2012A right-angled triangle has sides 9 cm, 12 cm and 15 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
- 21st March 201225 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 22nd March 2012A histogram class is 5 units wide and contains 7.5 values. Work out the frequency density.
- 23rd March 2012A mass is 160 kg, correct to the nearest 10. Write down the lower bound.
- 24th March 2012A region is defined by y < 5x + 9. Should the boundary line be solid or dashed, and why?
- 25th March 2012y is inversely proportional to x. When x = 3, y = 20. Work out y when x = 4.
- 26th March 2012The point (4, -5) is enlarged by scale factor -1 about the centre (1, -2). Write down the coordinates of the image.
- 27th March 20122 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 28th March 2012Four classes in order have frequencies 9, 4, 3, 9. Write down the cumulative frequency at the end of the third class.
- 29th March 2012Write 2^-1 as a fraction.
- 30th March 2012Factorise x^2 + 6x - 27.
- 31st March 2012y is directly proportional to x^2. When x = 6, y = 324. Work out y when x = 4.