Daily Practice · Higher
February 2006 - Higher 5-a-day
Every Higher sheet published in February 2006, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' February 2006 sheets in a single PDF, each tier behind its own divider page - 140 sheets in one file.
Every sheet in February 2006
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 2006A block has volume 165 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 2nd February 2006A right-angled triangle has a hypotenuse of 20 cm and one shorter side of 12 cm. Work out the other shorter side.
- 3rd February 20061 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 4th February 2006A box plot has minimum 9, lower quartile 19, median 21, upper quartile 24 and maximum 30. Work out the interquartile range.
- 5th February 2006Write 3^-1 as a fraction.
- 6th February 2006A line has equation y = 2x + 3. Work out the gradient of any line perpendicular to it.
- 7th February 2006x : y = 4 : 9. Write y in terms of x.
- 8th February 2006ABCD is a cyclic quadrilateral. Angle ABC is 90°. Work out angle ADC.
- 9th February 200612 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 10th February 2006A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 11th February 2006Work out (9 x 10^8) x (9 x 10^4). Give your answer in standard form.
- 12th February 2006For the curve y = -9/x, work out y when x = 1, and write down the equation of its vertical asymptote.
- 13th February 2006A price rises by 15% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 14th February 2006A, B and C are points on a circle with centre O. Angle AOC is 114°. Work out angle ABC, where B is on the major arc.
- 15th February 20065 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 16th February 2006A histogram class is 10 units wide and contains 25 values. Work out the frequency density.
- 17th February 2006Write the recurring decimal 0.8181... as a fraction in its simplest form.
- 18th February 2006Expand and simplify (x + 3)(x - 4)(x - 3).
- 19th February 2006y is inversely proportional to x. When x = 3, y = 24. Work out y when x = 4.
- 20th February 2006A cone has base radius 4 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
- 21st February 200630 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 22nd February 2006Four classes in order have frequencies 3, 6, 5, 6. Write down the cumulative frequency at the end of the third class.
- 23rd February 2006A bill is £624 including VAT at 20%. Work out the amount before VAT.
- 24th February 2006Make x the subject of y = 8x^2 - 3.
- 25th February 2006y is directly proportional to x^2. When x = 6, y = 324. Work out y when x = 7.
- 26th February 2006In triangle ABC, angle A is 77°, angle B is 68° and side a is 15 cm. Use the sine rule to work out side b, to 1 decimal place.
- 27th February 20064 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 28th February 200640 beetles are marked and released. Later 6 are caught, of which 2 are marked. Estimate the population.