Daily Practice · Higher
November 2006 - Higher 5-a-day
Every Higher sheet published in November 2006, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' November 2006 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 2006
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 2006Four classes in order have frequencies 4, 3, 3, 6. Write down the cumulative frequency at the end of the third class.
- 2nd November 2006Work out (4 x 10^6) x (9 x 10^3). Give your answer in standard form.
- 3rd November 2006A region is defined by y <= -2x - 3. Should the boundary line be solid or dashed, and why?
- 4th November 2006y is directly proportional to x^2. When x = 3, y = 36. Work out y when x = 7.
- 5th November 2006The point (-3, 3) is enlarged by scale factor -1 about the centre (3, 4). Write down the coordinates of the image.
- 6th November 20062 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 7th November 200635 beetles are marked and released. Later 72 are caught, of which 6 are marked. Estimate the population.
- 8th November 2006Write the recurring decimal 0.4747... as a fraction in its simplest form.
- 9th November 2006Factorise x^2 + 2x - 48.
- 10th November 2006y is directly proportional to x. When x = 3, y = 33. Work out y when x = 14.
- 11th November 2006Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 88 cm^3. Work out the volume of the smaller.
- 12th November 200628 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 13th November 2006A cumulative frequency graph is drawn for 52 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 14th November 2006A bill is £840 including VAT at 20%. Work out the amount before VAT.
- 15th November 2006Work out the equation of the line parallel to y = 4x + 1 that passes through (4, 4).
- 16th November 2006A town's population is 18000 and grows by 3% each year. Work out the population after 2 years, to the nearest whole number.
- 17th November 2006A right-angled triangle has a hypotenuse of 25 cm and one shorter side of 24 cm. Work out the other shorter side.
- 18th November 20061 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 19th November 2006A box plot has a minimum of 19 and a maximum of 65. Work out the range.
- 20th November 2006A code is 2 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 21st November 2006A line has equation y = -5x + 8. Work out the gradient of any line perpendicular to it.
- 22nd November 2006A block has volume 195 cm^3 and density 11 g/cm^3. Work out its mass.
- 23rd November 2006ABCD is a cyclic quadrilateral. Angle ABC is 116°. Work out angle ADC.
- 24th November 200618 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 25th November 2006A box plot has minimum 13, lower quartile 20, median 29, upper quartile 36 and maximum 38. Work out the interquartile range.
- 26th November 2006Work out (35 x 10^9) / (5 x 10^4). Give your answer in standard form.
- 27th November 2006For the curve y = 80/x, work out y when x = -10, and write down the equation of its vertical asymptote.
- 28th November 2006x : y = 5 : 7. Write y in terms of x.
- 29th November 2006A, B and C are points on a circle with centre O. Angle AOC is 80°. Work out angle ABC, where B is on the major arc.
- 30th November 20066 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.