Daily Practice · Higher
October 1976 5-a-day
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The batch download puts all 5 tiers' October 1976 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in October 1976
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st October 1976The point (3, -6) is enlarged by scale factor -3 about the centre (-3, 2). Write down the coordinates of the image.
- 2nd October 19765 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 3rd October 1976A box plot has a minimum of 13 and a maximum of 43. Work out the range.
- 4th October 1976Work out 16^(3/2).
- 5th October 1976Factorise x^2 - 3x - 28.
- 6th October 1976A block has volume 130 cm^3 and density 11 g/cm^3. Work out its mass.
- 7th October 1976Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 24 cm^3. Work out the volume of the smaller.
- 8th October 197628 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 9th October 1976A box plot has minimum 9, lower quartile 13, median 17, upper quartile 22 and maximum 27. Work out the interquartile range.
- 10th October 1976Write sqrt(32) in the form a sqrt(b), where b is as small as possible.
- 11th October 1976Work out the equation of the line parallel to y = -4x - 7 that passes through (6, -14).
- 12th October 1976x : y = 3 : 5. Write y in terms of x.
- 13th October 1976A right-angled triangle has a hypotenuse of 29 cm and one shorter side of 20 cm. Work out the other shorter side.
- 14th October 19761 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 15th October 1976A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 16th October 1976A meal deal has 3 mains, 9 sides and 6 drinks. How many different meals are possible?
- 17th October 1976A line has equation y = 5x + 9. Work out the gradient of any line perpendicular to it.
- 18th October 1976A price rises by 20% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 19th October 1976ABCD is a cyclic quadrilateral. Angle ABC is 111°. Work out angle ADC.
- 20th October 197618 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 21st October 1976A histogram class is 10 units wide and contains 25 values. Work out the frequency density.
- 22nd October 1976A mass is 320 kg, correct to the nearest 10. Write down the upper bound.
- 23rd October 1976For the curve y = 35/x, work out y when x = -5, and write down the equation of its vertical asymptote.
- 24th October 1976y is inversely proportional to x. When x = 8, y = 8. Work out y when x = 4.
- 25th October 1976A, B and C are points on a circle with centre O. Angle AOC is 146°. Work out angle ABC, where B is on the major arc.
- 26th October 19764 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 27th October 1976Four classes in order have frequencies 12, 7, 10, 9. Write down the cumulative frequency at the end of the third class.
- 28th October 1976Write 7^-2 as a fraction.
- 29th October 1976Expand and simplify (x + 1)(x - 4)(x - 2).
- 30th October 1976y is directly proportional to x^2. When x = 2, y = 28. Work out y when x = 9.
- 31st October 1976A cone has base radius 9 cm and vertical height 3 cm. Work out its volume, leaving your answer in terms of pi.