Daily Practice · Higher
December 2007 - Higher 5-a-day
Every Higher sheet published in December 2007, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' December 2007 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in December 2007
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st December 200724 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 2nd December 2007A box plot has a minimum of 6 and a maximum of 50. Work out the range.
- 3rd December 2007Work out (3 x 10^3) x (8 x 10^6). Give your answer in standard form.
- 4th December 2007Work out the equation of the line parallel to y = -5x + 4 that passes through (4, -22).
- 5th December 2007A block has volume 170 cm^3 and density 4 g/cm^3. Work out its mass.
- 6th December 2007A right-angled triangle has a hypotenuse of 41 cm and one shorter side of 9 cm. Work out the other shorter side.
- 7th December 20074 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 8th December 2007A box plot has minimum 2, lower quartile 9, median 19, upper quartile 21 and maximum 25. Work out the interquartile range.
- 9th December 2007Write the recurring decimal 0.1818... as a fraction in its simplest form.
- 10th December 2007A line has equation y = 3x + 9. Work out the gradient of any line perpendicular to it.
- 11th December 2007x : y = 5 : 8. Write y in terms of x.
- 12th December 2007ABCD is a cyclic quadrilateral. Angle ABC is 57°. Work out angle ADC.
- 13th December 200723 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 14th December 2007A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 15th December 2007A bill is £552 including VAT at 20%. Work out the amount before VAT.
- 16th December 2007For the curve y = -7/x, work out y when x = -1, and write down the equation of its vertical asymptote.
- 17th December 2007A price rises by 20% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 18th December 2007A, B and C are points on a circle with centre O. Angle AOC is 140°. Work out angle ABC, where B is on the major arc.
- 19th December 20071 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 20th December 2007A histogram class is 2 units wide and contains 1 values. Work out the frequency density.
- 21st December 2007A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 22nd December 2007Expand and simplify (x - 5)(x - 1)(x + 5).
- 23rd December 2007y is inversely proportional to x. When x = 2, y = 25. Work out y when x = 5.
- 24th December 2007A cone has base radius 2 cm and vertical height 21 cm. Work out its volume, leaving your answer in terms of pi.
- 25th December 200713 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 26th December 2007Four classes in order have frequencies 11, 3, 11, 4. Write down the cumulative frequency at the end of the third class.
- 27th December 2007Work out (63 x 10^8) / (9 x 10^3). Give your answer in standard form.
- 28th December 2007Make x the subject of y = 5x^2 - 6.
- 29th December 2007y is directly proportional to x^2. When x = 2, y = 20. Work out y when x = 6.
- 30th December 2007In triangle ABC, angle A is 42°, angle B is 56° and side a is 11 cm. Use the sine rule to work out side b, to 1 decimal place.
- 31st December 20076 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.