Daily Practice · Higher
October 1994 - Higher 5-a-day
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The batch download puts all 5 tiers' October 1994 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in October 1994
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st October 1994A region is defined by y < -5x - 8. Should the boundary line be solid or dashed, and why?
- 2nd October 1994y is inversely proportional to x. When x = 2, y = 20. Work out y when x = 4.
- 3rd October 1994The point (-1, 0) is enlarged by scale factor -3 about the centre (-4, 2). Write down the coordinates of the image.
- 4th October 19944 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 5th October 1994Four classes in order have frequencies 12, 5, 9, 5. Write down the cumulative frequency at the end of the third class.
- 6th October 1994A bill is £912 including VAT at 20%. Work out the amount before VAT.
- 7th October 1994Factorise x^2 + 2x - 35.
- 8th October 1994y is directly proportional to x^2. When x = 6, y = 324. Work out y when x = 7.
- 9th October 1994Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 243 cm^3. Work out the volume of the smaller.
- 10th October 199420 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 11th October 199455 newts are marked and released. Later 40 are caught, of which 4 are marked. Estimate the population.
- 12th October 1994A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 13th October 1994Work out the equation of the line parallel to y = -4x + 3 that passes through (2, -12).
- 14th October 1994y is directly proportional to x. When x = 7, y = 28. Work out y when x = 15.
- 15th October 1994A right-angled triangle has a hypotenuse of 10 cm and one shorter side of 8 cm. Work out the other shorter side.
- 16th October 19943 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 17th October 1994A cumulative frequency graph is drawn for 176 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 18th October 1994Work out (40 x 10^7) / (8 x 10^3). Give your answer in standard form.
- 19th October 1994A line has equation y = 3x + 6. Work out the gradient of any line perpendicular to it.
- 20th October 1994A town's population is 5500 and grows by 5% each year. Work out the population after 4 years, to the nearest whole number.
- 21st October 1994ABCD is a cyclic quadrilateral. Angle ABC is 82°. Work out angle ADC.
- 22nd October 199415 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 23rd October 1994A box plot has a minimum of 14 and a maximum of 50. Work out the range.
- 24th October 1994Write the recurring decimal 0.444... as a fraction in its simplest form.
- 25th October 1994For the curve y = -15/x, work out y when x = -5, and write down the equation of its vertical asymptote.
- 26th October 1994A block has volume 100 cm^3 and density 4 g/cm^3. Work out its mass.
- 27th October 1994A, B and C are points on a circle with centre O. Angle AOC is 128°. Work out angle ABC, where B is on the major arc.
- 28th October 19942 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 29th October 1994A box plot has minimum 12, lower quartile 22, median 30, upper quartile 38 and maximum 41. Work out the interquartile range.
- 30th October 1994Work out 25^(3/2).
- 31st October 1994Expand and simplify (x + 4)(x - 4)(x + 1).