Daily Practice · Higher
November 1997 - Higher 5-a-day
Every Higher sheet published in November 1997, with answers. Grades 6-7 - Higher-tier method and manipulation.
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The batch download puts all 5 tiers' November 1997 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 1997
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 1997A bill is £720 including VAT at 20%. Work out the amount before VAT.
- 2nd November 1997For the curve y = 55/x, work out y when x = -5, and write down the equation of its vertical asymptote.
- 3rd November 1997A price rises by 10% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 4th November 1997A, B and C are points on a circle with centre O. Angle AOC is 160°. Work out angle ABC, where B is on the major arc.
- 5th November 19971 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 6th November 1997A histogram class is 5 units wide and contains 10 values. Work out the frequency density.
- 7th November 1997A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 8th November 1997Expand and simplify (x - 3)(x + 2)(x + 3).
- 9th November 1997y is inversely proportional to x. When x = 6, y = 20. Work out y when x = 4.
- 10th November 1997A cone has base radius 5 cm and vertical height 18 cm. Work out its volume, leaving your answer in terms of pi.
- 11th November 199718 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 12th November 1997Four classes in order have frequencies 11, 3, 3, 12. Write down the cumulative frequency at the end of the third class.
- 13th November 1997Work out (27 x 10^10) / (9 x 10^5). Give your answer in standard form.
- 14th November 1997Make x the subject of y = 3x^2 - 8.
- 15th November 1997y is directly proportional to x^2. When x = 6, y = 252. Work out y when x = 8.
- 16th November 1997In triangle ABC, angle A is 36°, angle B is 44° and side a is 5 cm. Use the sine rule to work out side b, to 1 decimal place.
- 17th November 19972 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 18th November 199715 newts are marked and released. Later 44 are caught, of which 4 are marked. Estimate the population.
- 19th November 1997Write the recurring decimal 0.888... as a fraction in its simplest form.
- 20th November 1997Factorise x^2 - 36.
- 21st November 1997y is directly proportional to x. When x = 4, y = 12. Work out y when x = 8.
- 22nd November 1997A 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.
- 23rd November 199722 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 24th November 1997A cumulative frequency graph is drawn for 52 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 25th November 1997Work out 125^(2/3).
- 26th November 1997A region is defined by y <= -4x - 4. Should the boundary line be solid or dashed, and why?
- 27th November 1997A town's population is 32500 and grows by 5% each year. Work out the population after 3 years, to the nearest whole number.
- 28th November 1997The point (5, -3) is enlarged by scale factor -1 about the centre (-4, 2). Write down the coordinates of the image.
- 29th November 19972 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 30th November 1997A box plot has a minimum of 6 and a maximum of 54. Work out the range.