Daily Practice · Higher
January 1966 5-a-day
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The batch download puts all 5 tiers' January 1966 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in January 1966
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st January 1966Work out the equation of the line parallel to y = -2x - 8 that passes through (2, -16).
- 2nd January 1966y is inversely proportional to x. When x = 9, y = 30. Work out y when x = 10.
- 3rd January 1966A right-angled triangle has a hypotenuse of 41 cm and one shorter side of 40 cm. Work out the other shorter side.
- 4th January 19662 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 5th January 1966Four classes in order have frequencies 3, 9, 6, 8. Write down the cumulative frequency at the end of the third class.
- 6th January 1966Write the recurring decimal 0.2929... as a fraction in its simplest form.
- 7th January 1966A line has equation y = -2x + 4. Work out the gradient of any line perpendicular to it.
- 8th January 1966y is directly proportional to x^2. When x = 2, y = 20. Work out y when x = 9.
- 9th January 1966ABCD is a cyclic quadrilateral. Angle ABC is 124°. Work out angle ADC.
- 10th January 196626 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 11th January 196645 voles are marked and released. Later 30 are caught, of which 5 are marked. Estimate the population.
- 12th January 1966A bill is £288 including VAT at 20%. Work out the amount before VAT.
- 13th January 1966For the curve y = -40/x, work out y when x = -5, and write down the equation of its vertical asymptote.
- 14th January 1966y is directly proportional to x. When x = 4, y = 40. Work out y when x = 8.
- 15th January 1966A, B and C are points on a circle with centre O. Angle AOC is 162°. Work out angle ABC, where B is on the major arc.
- 16th January 19664 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 17th January 1966A cumulative frequency graph is drawn for 172 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 18th January 1966A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 19th January 1966Expand and simplify (x - 3)(x - 4)(x - 2).
- 20th January 1966A town's population is 32000 and grows by 5% each year. Work out the population after 3 years, to the nearest whole number.
- 21st January 1966A cone has base radius 8 cm and vertical height 18 cm. Work out its volume, leaving your answer in terms of pi.
- 22nd January 196624 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 23rd January 1966A box plot has a minimum of 16 and a maximum of 38. Work out the range.
- 24th January 1966Work out (4 x 10^12) / (2 x 10^5). Give your answer in standard form.
- 25th January 1966Make x the subject of y = 8x^2 - 5.
- 26th January 1966A block has volume 20 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 27th January 1966In triangle ABC, angle A is 41°, angle B is 35° and side a is 14 cm. Use the sine rule to work out side b, to 1 decimal place.
- 28th January 19662 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 29th January 1966A box plot has minimum 11, lower quartile 16, median 20, upper quartile 24 and maximum 29. Work out the interquartile range.
- 30th January 1966Write the recurring decimal 0.333... as a fraction in its simplest form.
- 31st January 1966Factorise x^2 - 4.