Daily Practice · Higher
November 1993 - Higher 5-a-day
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The batch download puts all 5 tiers' November 1993 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 1993
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 1993The point (0, -6) is enlarged by scale factor -2 about the centre (-4, 2). Write down the coordinates of the image.
- 2nd November 19932 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 3rd November 1993Four classes in order have frequencies 9, 7, 11, 12. Write down the cumulative frequency at the end of the third class.
- 4th November 1993Write the recurring decimal 0.8888... as a fraction in its simplest form.
- 5th November 1993Factorise x^2 + 18x + 81.
- 6th November 1993y is directly proportional to x^2. When x = 2, y = 24. Work out y when x = 6.
- 7th November 1993Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 832 cm^3. Work out the volume of the smaller.
- 8th November 199320 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 9th November 199335 fish are marked and released. Later 45 are caught, of which 9 are marked. Estimate the population.
- 10th November 1993A bill is £72 including VAT at 20%. Work out the amount before VAT.
- 11th November 1993Work out the equation of the line parallel to y = -5x + 9 that passes through (2, -17).
- 12th November 1993y is directly proportional to x. When x = 7, y = 14. Work out y when x = 9.
- 13th November 1993A right-angled triangle has a hypotenuse of 41 cm and one shorter side of 40 cm. Work out the other shorter side.
- 14th November 19934 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 15th November 1993A cumulative frequency graph is drawn for 200 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 16th November 1993A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 17th November 1993A line has equation y = -2x + 1. Work out the gradient of any line perpendicular to it.
- 18th November 1993A town's population is 20500 and grows by 6% each year. Work out the population after 4 years, to the nearest whole number.
- 19th November 1993ABCD is a cyclic quadrilateral. Angle ABC is 129°. Work out angle ADC.
- 20th November 199317 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 21st November 1993A box plot has a minimum of 19 and a maximum of 44. Work out the range.
- 22nd November 1993Work out (28 x 10^10) / (4 x 10^3). Give your answer in standard form.
- 23rd November 1993For the curve y = -16/x, work out y when x = 2, and write down the equation of its vertical asymptote.
- 24th November 1993A block has volume 80 cm^3 and density 3 g/cm^3. Work out its mass.
- 25th November 1993A, B and C are points on a circle with centre O. Angle AOC is 48°. Work out angle ABC, where B is on the major arc.
- 26th November 19931 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 27th November 1993A box plot has minimum 14, lower quartile 17, median 20, upper quartile 23 and maximum 33. Work out the interquartile range.
- 28th November 1993Write the recurring decimal 0.777... as a fraction in its simplest form.
- 29th November 1993Expand and simplify (x - 1)(x - 2)(x + 4).
- 30th November 1993x : y = 2 : 9. Write y in terms of x.