Daily Practice · Higher
May 2006 - Higher 5-a-day
Every Higher sheet published in May 2006, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' May 2006 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 2006
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 2006Factorise x^2 + 13x + 36.
- 2nd May 2006x : y = 2 : 3. Write y in terms of x.
- 3rd May 2006Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 405 cm^3. Work out the volume of the smaller.
- 4th May 200631 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 5th May 2006A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 6th May 2006A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 7th May 2006Work out the equation of the line parallel to y = -x + 2 that passes through (3, -7).
- 8th May 2006A price rises by 25% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 9th May 2006A right-angled triangle has a hypotenuse of 5 cm and one shorter side of 3 cm. Work out the other shorter side.
- 10th May 20061 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 11th May 2006A histogram class is 2 units wide and contains 6 values. Work out the frequency density.
- 12th May 2006Work out (63 x 10^12) / (7 x 10^3). Give your answer in standard form.
- 13th May 2006A line has equation y = 4x + 7. Work out the gradient of any line perpendicular to it.
- 14th May 2006y is inversely proportional to x. When x = 7, y = 12. Work out y when x = 4.
- 15th May 2006ABCD is a cyclic quadrilateral. Angle ABC is 109°. Work out angle ADC.
- 16th May 200616 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 17th May 2006Four classes in order have frequencies 8, 11, 3, 10. Write down the cumulative frequency at the end of the third class.
- 18th May 2006Write the recurring decimal 0.333... as a fraction in its simplest form.
- 19th May 2006For the curve y = -8/x, work out y when x = -4, and write down the equation of its vertical asymptote.
- 20th May 2006y is directly proportional to x^2. When x = 2, y = 32. Work out y when x = 6.
- 21st May 2006A, 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.
- 22nd May 20061 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 23rd May 200620 newts are marked and released. Later 12 are caught, of which 2 are marked. Estimate the population.
- 24th May 2006Work out 16^(3/2).
- 25th May 2006Expand and simplify (x - 5)(x - 2)(x - 4).
- 26th May 2006y is directly proportional to x. When x = 6, y = 66. Work out y when x = 4.
- 27th May 2006A cone has base radius 7 cm and vertical height 6 cm. Work out its volume, leaving your answer in terms of pi.
- 28th May 200612 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 29th May 2006A cumulative frequency graph is drawn for 176 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 30th May 2006Write sqrt(27) in the form a sqrt(b), where b is as small as possible.
- 31st May 2006Make x the subject of y = 7x^2 - 4.