Daily Practice · Higher
September 1995 - Higher 5-a-day
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The batch download puts all 5 tiers' September 1995 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in September 1995
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 1995A bill is £576 including VAT at 20%. Work out the amount before VAT.
- 2nd September 1995A region is defined by y <= -x - 6. Should the boundary line be solid or dashed, and why?
- 3rd September 1995y is inversely proportional to x. When x = 9, y = 24. Work out y when x = 4.
- 4th September 1995The point (-3, -1) is enlarged by scale factor -3 about the centre (-3, 1). Write down the coordinates of the image.
- 5th September 19954 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 6th September 1995Four classes in order have frequencies 8, 6, 12, 12. Write down the cumulative frequency at the end of the third class.
- 7th September 1995A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 8th September 1995Factorise x^2 - 9x + 8.
- 9th September 1995y is directly proportional to x^2. When x = 3, y = 18. Work out y when x = 7.
- 10th September 1995Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 891 cm^3. Work out the volume of the smaller.
- 11th September 199513 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 12th September 199525 newts are marked and released. Later 27 are caught, of which 3 are marked. Estimate the population.
- 13th September 1995Work out (8 x 10^6) / (2 x 10^4). Give your answer in standard form.
- 14th September 1995Work out the equation of the line parallel to y = x + 6 that passes through (3, -4).
- 15th September 1995y is directly proportional to x. When x = 6, y = 12. Work out y when x = 9.
- 16th September 1995A right-angled triangle has a hypotenuse of 5 cm and one shorter side of 4 cm. Work out the other shorter side.
- 17th September 19953 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 18th September 1995A cumulative frequency graph is drawn for 128 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 19th September 1995Write the recurring decimal 0.888... as a fraction in its simplest form.
- 20th September 1995A line has equation y = 5x + 8. Work out the gradient of any line perpendicular to it.
- 21st September 1995A town's population is 31000 and grows by 6% each year. Work out the population after 4 years, to the nearest whole number.
- 22nd September 1995ABCD is a cyclic quadrilateral. Angle ABC is 54°. Work out angle ADC.
- 23rd September 199520 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 24th September 1995A box plot has a minimum of 13 and a maximum of 54. Work out the range.
- 25th September 1995Work out 49^(3/2).
- 26th September 1995For the curve y = 40/x, work out y when x = -4, and write down the equation of its vertical asymptote.
- 27th September 1995A block has volume 20 cm^3 and density 8 g/cm^3. Work out its mass.
- 28th September 1995A, B and C are points on a circle with centre O. Angle AOC is 130°. Work out angle ABC, where B is on the major arc.
- 29th September 19951 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 30th September 1995A box plot has minimum 8, lower quartile 11, median 13, upper quartile 15 and maximum 23. Work out the interquartile range.