Daily Practice · Higher
September 1966 5-a-day
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The batch download puts all 5 tiers' September 1966 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in September 1966
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 19664 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 2nd September 1966A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 3rd September 1966A meal deal has 7 mains, 5 sides and 4 drinks. How many different meals are possible?
- 4th September 1966A line has equation y = -3x + 8. Work out the gradient of any line perpendicular to it.
- 5th September 1966A price rises by 10% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 6th September 1966ABCD is a cyclic quadrilateral. Angle ABC is 127°. Work out angle ADC.
- 7th September 19669 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 8th September 1966A histogram class is 2 units wide and contains 8 values. Work out the frequency density.
- 9th September 1966A mass is 550 kg, correct to the nearest 10. Write down the lower bound.
- 10th September 1966For the curve y = -50/x, work out y when x = 10, and write down the equation of its vertical asymptote.
- 11th September 1966y is inversely proportional to x. When x = 7, y = 18. Work out y when x = 3.
- 12th September 1966A, B and C are points on a circle with centre O. Angle AOC is 44°. Work out angle ABC, where B is on the major arc.
- 13th September 19666 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 14th September 1966Four classes in order have frequencies 8, 9, 9, 7. Write down the cumulative frequency at the end of the third class.
- 15th September 1966Write 7^-3 as a fraction.
- 16th September 1966Expand and simplify (x + 1)(x - 5)(x + 3).
- 17th September 1966y is directly proportional to x^2. When x = 5, y = 200. Work out y when x = 8.
- 18th September 1966A cone has base radius 6 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 19th September 196620 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 20th September 196610 voles are marked and released. Later 33 are caught, of which 3 are marked. Estimate the population.
- 21st September 1966Work out (6 x 10^6) x (9 x 10^-5). Give your answer in standard form.
- 22nd September 1966Make x the subject of y = 3x^2 - 9.
- 23rd September 1966y is directly proportional to x. When x = 3, y = 36. Work out y when x = 8.
- 24th September 1966In triangle ABC, angle A is 69°, angle B is 65° and side a is 8 cm. Use the sine rule to work out side b, to 1 decimal place.
- 25th September 19666 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 26th September 1966A cumulative frequency graph is drawn for 96 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 27th September 1966Write the recurring decimal 0.1212... as a fraction in its simplest form.
- 28th September 1966Factorise x^2 - 144.
- 29th September 1966A town's population is 32000 and grows by 3% each year. Work out the population after 5 years, to the nearest whole number.
- 30th September 1966A right-angled triangle has sides 8 cm, 15 cm and 17 cm. Work out the angle opposite the 8 cm side, to 1 decimal place.