Daily Practice · Higher
November 2000 - Higher 5-a-day
Every Higher sheet published in November 2000, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' November 2000 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 2000
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 20003 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 2nd November 2000A histogram class is 2 units wide and contains 8 values. Work out the frequency density.
- 3rd November 2000A mass is 20 kg, correct to the nearest whole number. Write down the lower bound.
- 4th November 2000A line has equation y = -5x + 5. Work out the gradient of any line perpendicular to it.
- 5th November 2000y is inversely proportional to x. When x = 7, y = 12. Work out y when x = 3.
- 6th November 2000ABCD is a cyclic quadrilateral. Angle ABC is 72°. Work out angle ADC.
- 7th November 200023 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 8th November 2000Four classes in order have frequencies 11, 8, 12, 5. Write down the cumulative frequency at the end of the third class.
- 9th November 2000Write 5^-3 as a fraction.
- 10th November 2000For the curve y = 55/x, work out y when x = 5, and write down the equation of its vertical asymptote.
- 11th November 2000y is directly proportional to x^2. When x = 5, y = 150. Work out y when x = 6.
- 12th November 2000A, B and C are points on a circle with centre O. Angle AOC is 164°. Work out angle ABC, where B is on the major arc.
- 13th November 20004 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 14th November 200020 newts are marked and released. Later 16 are caught, of which 4 are marked. Estimate the population.
- 15th November 2000Work out (6 x 10^6) x (2 x 10^2). Give your answer in standard form.
- 16th November 2000Expand and simplify (x + 4)(x - 2)(x + 4).
- 17th November 2000y is directly proportional to x. When x = 6, y = 54. Work out y when x = 8.
- 18th November 2000A cone has base radius 5 cm and vertical height 18 cm. Work out its volume, leaving your answer in terms of pi.
- 19th November 200012 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 20th November 2000A cumulative frequency graph is drawn for 56 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 21st November 2000Write the recurring decimal 0.7878... as a fraction in its simplest form.
- 22nd November 2000Make x the subject of y = 3x^2 - 8.
- 23rd November 2000A town's population is 7000 and grows by 3% each year. Work out the population after 3 years, to the nearest whole number.
- 24th November 2000In triangle ABC, angle A is 65°, angle B is 76° and side a is 10 cm. Use the sine rule to work out side b, to 1 decimal place.
- 25th November 20002 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 26th November 2000A box plot has a minimum of 18 and a maximum of 48. Work out the range.
- 27th November 2000A bill is £576 including VAT at 20%. Work out the amount before VAT.
- 28th November 2000Factorise x^2 - 64.
- 29th November 2000A block has volume 40 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 30th November 2000A right-angled triangle has sides 7 cm, 24 cm and 25 cm. Work out the angle opposite the 7 cm side, to 1 decimal place.