Daily Practice · Higher
October 1980 5-a-day
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The batch download puts all 5 tiers' October 1980 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in October 1980
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st October 1980Write sqrt(32) in the form a sqrt(b), where b is as small as possible.
- 2nd October 1980For the curve y = -8/x, work out y when x = -1, and write down the equation of its vertical asymptote.
- 3rd October 1980y is directly proportional to x. When x = 7, y = 28. Work out y when x = 5.
- 4th October 1980A, B and C are points on a circle with centre O. Angle AOC is 122°. Work out angle ABC, where B is on the major arc.
- 5th October 19807 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 6th October 1980A cumulative frequency graph is drawn for 120 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 7th October 1980A meal deal has 7 mains, 7 sides and 4 drinks. How many different meals are possible?
- 8th October 1980Expand and simplify (x + 2)(x + 5)(x - 2).
- 9th October 1980A town's population is 24500 and grows by 5% each year. Work out the population after 3 years, to the nearest whole number.
- 10th October 1980A cone has base radius 6 cm and vertical height 12 cm. Work out its volume, leaving your answer in terms of pi.
- 11th October 198022 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 12th October 1980A box plot has a minimum of 14 and a maximum of 59. Work out the range.
- 13th October 1980A mass is 630 kg, correct to the nearest 10. Write down the upper bound.
- 14th October 1980Make x the subject of y = 7x^2 - 8.
- 15th October 1980A block has volume 155 cm^3 and density 3 g/cm^3. Work out its mass.
- 16th October 1980In triangle ABC, angle A is 45°, angle B is 47° and side a is 14 cm. Use the sine rule to work out side b, to 1 decimal place.
- 17th October 19802 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 18th October 1980A box plot has minimum 2, lower quartile 6, median 10, upper quartile 19 and maximum 24. Work out the interquartile range.
- 19th October 1980Write 3^-2 as a fraction.
- 20th October 1980Factorise x^2 - 16.
- 21st October 1980x : y = 4 : 9. Write y in terms of x.
- 22nd October 1980A right-angled triangle has sides 20 cm, 21 cm and 29 cm. Work out the angle opposite the 20 cm side, to 1 decimal place.
- 23rd October 198016 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 24th October 1980A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 25th October 1980Work out (2 x 10^3) x (4 x 10^-4). Give your answer in standard form.
- 26th October 1980A region is defined by y <= x + 1. Should the boundary line be solid or dashed, and why?
- 27th October 1980A price rises by 10% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 28th October 1980The point (-2, 4) is enlarged by scale factor -1 about the centre (1, 4). Write down the coordinates of the image.
- 29th October 19803 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 30th October 1980A histogram class is 5 units wide and contains 10 values. Work out the frequency density.
- 31st October 1980Write the recurring decimal 0.3434... as a fraction in its simplest form.