Daily Practice · Higher
January 2000 - Higher 5-a-day
Every Higher sheet published in January 2000, with answers. Grades 6-7 - Higher-tier method and manipulation.
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The batch download puts all 5 tiers' January 2000 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in January 2000
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st January 2000A box plot has minimum 3, lower quartile 5, median 8, upper quartile 17 and maximum 26. Work out the interquartile range.
- 2nd January 2000A bill is £192 including VAT at 20%. Work out the amount before VAT.
- 3rd January 2000A region is defined by y < 3x - 3. Should the boundary line be solid or dashed, and why?
- 4th January 2000x : y = 5 : 7. Write y in terms of x.
- 5th January 2000The point (4, -4) is enlarged by scale factor -1 about the centre (-3, -3). Write down the coordinates of the image.
- 6th January 20001 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 7th January 2000A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 8th January 2000A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 9th January 2000Factorise x^2 + x - 56.
- 10th January 2000A price rises by 10% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 11th January 2000Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 512 cm^3. Work out the volume of the smaller.
- 12th January 200016 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 13th January 2000A histogram class is 5 units wide and contains 2.5 values. Work out the frequency density.
- 14th January 2000Work out (45 x 10^11) / (5 x 10^3). Give your answer in standard form.
- 15th January 2000Work out the equation of the line parallel to y = 2x - 7 that passes through (6, 23).
- 16th January 2000y is inversely proportional to x. When x = 8, y = 12. Work out y when x = 12.
- 17th January 2000A right-angled triangle has a hypotenuse of 10 cm and one shorter side of 6 cm. Work out the other shorter side.
- 18th January 20003 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 19th January 2000Four classes in order have frequencies 5, 3, 7, 8. Write down the cumulative frequency at the end of the third class.
- 20th January 2000Write the recurring decimal 0.444... as a fraction in its simplest form.
- 21st January 2000A line has equation y = 2x + 6. Work out the gradient of any line perpendicular to it.
- 22nd January 2000y is directly proportional to x^2. When x = 6, y = 108. Work out y when x = 8.
- 23rd January 2000ABCD is a cyclic quadrilateral. Angle ABC is 84°. Work out angle ADC.
- 24th January 200014 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 25th January 200020 voles are marked and released. Later 16 are caught, of which 4 are marked. Estimate the population.
- 26th January 2000Work out 27^(2/3).
- 27th January 2000For the curve y = 1/x, work out y when x = 1, and write down the equation of its vertical asymptote.
- 28th January 2000y is directly proportional to x. When x = 5, y = 60. Work out y when x = 4.
- 29th January 2000A, B and C are points on a circle with centre O. Angle AOC is 78°. Work out angle ABC, where B is on the major arc.
- 30th January 20002 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 31st January 2000A cumulative frequency graph is drawn for 148 values. What cumulative frequency do you read across from to estimate the lower quartile?