Daily Practice · Higher
March 2010 - Higher 5-a-day
Every Higher sheet published in March 2010, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' March 2010 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 2010
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 2010A right-angled triangle has a hypotenuse of 17 cm and one shorter side of 15 cm. Work out the other shorter side.
- 2nd March 20103 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 3rd March 2010Four classes in order have frequencies 3, 5, 9, 6. Write down the cumulative frequency at the end of the third class.
- 4th March 2010Write the recurring decimal 0.444... as a fraction in its simplest form.
- 5th March 2010A line has equation y = 2x + 9. Work out the gradient of any line perpendicular to it.
- 6th March 2010y is directly proportional to x^2. When x = 4, y = 80. Work out y when x = 3.
- 7th March 2010ABCD is a cyclic quadrilateral. Angle ABC is 86°. Work out angle ADC.
- 8th March 201010 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 9th March 201040 voles are marked and released. Later 22 are caught, of which 2 are marked. Estimate the population.
- 10th March 2010Work out 64^(2/3).
- 11th March 2010For the curve y = -10/x, work out y when x = -5, and write down the equation of its vertical asymptote.
- 12th March 2010y is directly proportional to x. When x = 5, y = 55. Work out y when x = 13.
- 13th March 2010A, B and C are points on a circle with centre O. Angle AOC is 70°. Work out angle ABC, where B is on the major arc.
- 14th March 20106 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 15th March 2010A cumulative frequency graph is drawn for 228 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 16th March 2010Write sqrt(12) in the form a sqrt(b), where b is as small as possible.
- 17th March 2010Expand and simplify (x + 5)(x - 5)(x - 3).
- 18th March 2010A town's population is 25000 and grows by 4% each year. Work out the population after 3 years, to the nearest whole number.
- 19th March 2010A cone has base radius 3 cm and vertical height 6 cm. Work out its volume, leaving your answer in terms of pi.
- 20th March 201020 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 21st March 2010A box plot has a minimum of 7 and a maximum of 50. Work out the range.
- 22nd March 2010A meal deal has 8 mains, 6 sides and 3 drinks. How many different meals are possible?
- 23rd March 2010Make x the subject of y = 3x^2 - 5.
- 24th March 2010A block has volume 155 cm^3 and density 8 g/cm^3. Work out its mass.
- 25th March 2010In triangle ABC, angle A is 35°, angle B is 77° and side a is 15 cm. Use the sine rule to work out side b, to 1 decimal place.
- 26th March 20104 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 27th March 2010A box plot has minimum 7, lower quartile 12, median 19, upper quartile 29 and maximum 34. Work out the interquartile range.
- 28th March 2010A mass is 4 kg, correct to the nearest whole number. Write down the upper bound.
- 29th March 2010Factorise x^2 - 144.
- 30th March 2010x : y = 3 : 4. Write y in terms of x.
- 31st March 2010A 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.