Daily Practice · Higher
January 1971 5-a-day
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The batch download puts all 5 tiers' January 1971 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in January 1971
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st January 1971A right-angled triangle has a hypotenuse of 15 cm and one shorter side of 12 cm. Work out the other shorter side.
- 2nd January 19711 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 3rd January 1971A box plot has a minimum of 18 and a maximum of 74. Work out the range.
- 4th January 1971A meal deal has 8 mains, 5 sides and 2 drinks. How many different meals are possible?
- 5th January 1971A line has equation y = -4x + 2. Work out the gradient of any line perpendicular to it.
- 6th January 1971A block has volume 45 cm^3 and density 11 g/cm^3. Work out its mass.
- 7th January 1971ABCD is a cyclic quadrilateral. Angle ABC is 109°. Work out angle ADC.
- 8th January 197127 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 January 1971A box plot has minimum 12, lower quartile 17, median 27, upper quartile 37 and maximum 42. Work out the interquartile range.
- 10th January 1971A mass is 12 kg, correct to the nearest whole number. Write down the upper bound.
- 11th January 1971For the curve y = 55/x, work out y when x = -5, and write down the equation of its vertical asymptote.
- 12th January 1971x : y = 4 : 7. Write y in terms of x.
- 13th January 1971A, B and C are points on a circle with centre O. Angle AOC is 86°. Work out angle ABC, where B is on the major arc.
- 14th January 19711 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 15th January 1971A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 16th January 1971Write 6^-1 as a fraction.
- 17th January 1971Expand and simplify (x - 3)(x + 4)(x + 2).
- 18th January 1971A price rises by 15% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 19th January 1971A cone has base radius 7 cm and vertical height 21 cm. Work out its volume, leaving your answer in terms of pi.
- 20th January 197123 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 21st January 1971A histogram class is 5 units wide and contains 10 values. Work out the frequency density.
- 22nd January 1971Work out (5 x 10^6) x (6 x 10^4). Give your answer in standard form.
- 23rd January 1971Make x the subject of y = 3x^2 - 8.
- 24th January 1971y is inversely proportional to x. When x = 9, y = 60. Work out y when x = 12.
- 25th January 1971In triangle ABC, angle A is 57°, angle B is 50° and side a is 9 cm. Use the sine rule to work out side b, to 1 decimal place.
- 26th January 19711 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 27th January 1971Four classes in order have frequencies 4, 10, 9, 7. Write down the cumulative frequency at the end of the third class.
- 28th January 1971Write the recurring decimal 0.7070... as a fraction in its simplest form.
- 29th January 1971Factorise x^2 - 4.
- 30th January 1971y is directly proportional to x^2. When x = 3, y = 72. Work out y when x = 9.
- 31st January 1971A right-angled triangle has sides 9 cm, 12 cm and 15 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.