Daily Practice · Higher
January 1961 5-a-day
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The batch download puts all 5 tiers' January 1961 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in January 1961
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st January 1961A box plot has a minimum of 9 and a maximum of 62. Work out the range.
- 2nd January 1961Work out (4 x 10^12) / (2 x 10^2). Give your answer in standard form.
- 3rd January 1961Work out the equation of the line parallel to y = 2x - 4 that passes through (2, -7).
- 4th January 1961A block has volume 30 cm^3 and density 3 g/cm^3. Work out its mass.
- 5th January 1961A right-angled triangle has a hypotenuse of 15 cm and one shorter side of 12 cm. Work out the other shorter side.
- 6th January 19611 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 7th January 1961A box plot has minimum 6, lower quartile 11, median 17, upper quartile 25 and maximum 29. Work out the interquartile range.
- 8th January 1961Write the recurring decimal 0.222... as a fraction in its simplest form.
- 9th January 1961A line has equation y = 2x + 7. Work out the gradient of any line perpendicular to it.
- 10th January 1961x : y = 2 : 9. Write y in terms of x.
- 11th January 1961ABCD is a cyclic quadrilateral. Angle ABC is 67°. Work out angle ADC.
- 12th January 196119 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 13th January 1961A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 14th January 1961Work out 64^(2/3).
- 15th January 1961For the curve y = 60/x, work out y when x = -5, and write down the equation of its vertical asymptote.
- 16th January 1961A price rises by 15% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 17th January 1961A, B and C are points on a circle with centre O. Angle AOC is 58°. Work out angle ABC, where B is on the major arc.
- 18th January 19617 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 19th January 1961A histogram class is 10 units wide and contains 25 values. Work out the frequency density.
- 20th January 1961Write sqrt(50) in the form a sqrt(b), where b is as small as possible.
- 21st January 1961Expand and simplify (x + 2)(x + 5)(x + 1).
- 22nd January 1961y is inversely proportional to x. When x = 2, y = 12. Work out y when x = 4.
- 23rd January 1961A cone has base radius 4 cm and vertical height 9 cm. Work out its volume, leaving your answer in terms of pi.
- 24th January 196117 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 25th January 1961Four classes in order have frequencies 10, 4, 11, 11. Write down the cumulative frequency at the end of the third class.
- 26th January 1961A meal deal has 4 mains, 5 sides and 5 drinks. How many different meals are possible?
- 27th January 1961Make x the subject of y = 4x^2 - 7.
- 28th January 1961y is directly proportional to x^2. When x = 2, y = 8. Work out y when x = 9.
- 29th January 1961In triangle ABC, angle A is 74°, angle B is 66° and side a is 16 cm. Use the sine rule to work out side b, to 1 decimal place.
- 30th January 19616 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 31st January 196150 newts are marked and released. Later 66 are caught, of which 6 are marked. Estimate the population.