Daily Practice · Higher
January 2007 - Higher 5-a-day
Every Higher sheet published in January 2007, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' January 2007 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in January 2007
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st January 2007Write 2^-2 as a fraction.
- 2nd January 2007Work out the equation of the line parallel to y = -2x - 5 that passes through (5, -3).
- 3rd January 2007A block has volume 120 cm^3 and density 4 g/cm^3. Work out its mass.
- 4th January 2007A right-angled triangle has a hypotenuse of 41 cm and one shorter side of 40 cm. Work out the other shorter side.
- 5th January 20076 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 6th January 2007A box plot has minimum 13, lower quartile 16, median 20, upper quartile 26 and maximum 33. Work out the interquartile range.
- 7th January 2007Work out (7 x 10^3) x (2 x 10^5). Give your answer in standard form.
- 8th January 2007A line has equation y = 3x + 7. Work out the gradient of any line perpendicular to it.
- 9th January 2007x : y = 3 : 5. Write y in terms of x.
- 10th January 2007ABCD is a cyclic quadrilateral. Angle ABC is 128°. Work out angle ADC.
- 11th January 200720 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 12th January 2007A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 13th January 2007Write the recurring decimal 0.4949... as a fraction in its simplest form.
- 14th January 2007For the curve y = -44/x, work out y when x = -4, and write down the equation of its vertical asymptote.
- 15th January 2007A price rises by 10% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 16th January 2007A, B and C are points on a circle with centre O. Angle AOC is 162°. Work out angle ABC, where B is on the major arc.
- 17th January 20071 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 18th January 2007A histogram class is 4 units wide and contains 10 values. Work out the frequency density.
- 19th January 2007A bill is £552 including VAT at 20%. Work out the amount before VAT.
- 20th January 2007Expand and simplify (x + 2)(x + 1)(x - 2).
- 21st January 2007y is inversely proportional to x. When x = 3, y = 18. Work out y when x = 6.
- 22nd January 2007A cone has base radius 9 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 23rd January 200716 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 24th January 2007Four classes in order have frequencies 9, 10, 3, 8. Write down the cumulative frequency at the end of the third class.
- 25th January 2007A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 26th January 2007Make x the subject of y = 6x^2 - 12.
- 27th January 2007y is directly proportional to x^2. When x = 4, y = 48. Work out y when x = 9.
- 28th January 2007In triangle ABC, angle A is 76°, angle B is 63° and side a is 12 cm. Use the sine rule to work out side b, to 1 decimal place.
- 29th January 20072 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 30th January 200745 beetles are marked and released. Later 24 are caught, of which 3 are marked. Estimate the population.
- 31st January 2007Work out (72 x 10^7) / (9 x 10^4). Give your answer in standard form.