Daily Practice · Higher
April 2009 - Higher 5-a-day
Every Higher sheet published in April 2009, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' April 2009 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 2009
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 2009Four classes in order have frequencies 3, 12, 12, 8. Write down the cumulative frequency at the end of the third class.
- 2nd April 2009Work out (27 x 10^10) / (9 x 10^4). Give your answer in standard form.
- 3rd April 2009A line has equation y = -4x + 3. Work out the gradient of any line perpendicular to it.
- 4th April 2009y is directly proportional to x^2. When x = 2, y = 36. Work out y when x = 4.
- 5th April 2009ABCD is a cyclic quadrilateral. Angle ABC is 110°. Work out angle ADC.
- 6th April 200924 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 7th April 200955 voles are marked and released. Later 15 are caught, of which 3 are marked. Estimate the population.
- 8th April 2009Write the recurring decimal 0.888... as a fraction in its simplest form.
- 9th April 2009For the curve y = 18/x, work out y when x = 2, and write down the equation of its vertical asymptote.
- 10th April 2009y is directly proportional to x. When x = 7, y = 56. Work out y when x = 5.
- 11th April 2009A, B and C are points on a circle with centre O. Angle AOC is 136°. Work out angle ABC, where B is on the major arc.
- 12th April 20097 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 13th April 2009A cumulative frequency graph is drawn for 116 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 14th April 2009Work out 64^(2/3).
- 15th April 2009Expand and simplify (x + 3)(x + 2)(x - 1).
- 16th April 2009A town's population is 36000 and grows by 5% each year. Work out the population after 6 years, to the nearest whole number.
- 17th April 2009A cone has base radius 6 cm and vertical height 3 cm. Work out its volume, leaving your answer in terms of pi.
- 18th April 200913 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 19th April 2009A box plot has a minimum of 6 and a maximum of 36. Work out the range.
- 20th April 2009Write sqrt(20) in the form a sqrt(b), where b is as small as possible.
- 21st April 2009Make x the subject of y = 4x^2 - 8.
- 22nd April 2009A block has volume 60 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 23rd April 2009In triangle ABC, angle A is 33°, angle B is 112° and side a is 13 cm. Use the sine rule to work out side b, to 1 decimal place.
- 24th April 20091 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 25th April 2009A box plot has minimum 7, lower quartile 15, median 20, upper quartile 24 and maximum 31. Work out the interquartile range.
- 26th April 2009A meal deal has 6 mains, 8 sides and 6 drinks. How many different meals are possible?
- 27th April 2009Factorise x^2 - 144.
- 28th April 2009x : y = 3 : 4. Write y in terms of x.
- 29th April 2009A right-angled triangle has sides 3 cm, 4 cm and 5 cm. Work out the angle opposite the 3 cm side, to 1 decimal place.
- 30th April 200919 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.