Daily Practice · Higher
September 1960 5-a-day
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The batch download puts all 5 tiers' September 1960 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in September 1960
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 1960A cone has base radius 3 cm and vertical height 3 cm. Work out its volume, leaving your answer in terms of pi.
- 2nd September 196023 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 3rd September 1960A box plot has minimum 3, lower quartile 13, median 20, upper quartile 22 and maximum 31. Work out the interquartile range.
- 4th September 1960Work out 36^(3/2).
- 5th September 1960Make x the subject of y = 4x^2 - 6.
- 6th September 1960x : y = 2 : 3. Write y in terms of x.
- 7th September 1960In triangle ABC, angle A is 30°, angle B is 106° and side a is 13 cm. Use the sine rule to work out side b, to 1 decimal place.
- 8th September 19601 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 9th September 1960A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 10th September 1960Write sqrt(18) in the form a sqrt(b), where b is as small as possible.
- 11th September 1960Factorise x^2 - 36.
- 12th September 1960A price rises by 10% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 13th September 1960A right-angled triangle has sides 6 cm, 8 cm and 10 cm. Work out the angle opposite the 6 cm side, to 1 decimal place.
- 14th September 196025 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 15th September 1960A histogram class is 5 units wide and contains 20 values. Work out the frequency density.
- 16th September 1960A meal deal has 8 mains, 9 sides and 6 drinks. How many different meals are possible?
- 17th September 1960A region is defined by y < -4x + 7. Should the boundary line be solid or dashed, and why?
- 18th September 1960y is inversely proportional to x. When x = 4, y = 24. Work out y when x = 12.
- 19th September 1960The point (4, -6) is enlarged by scale factor -1 about the centre (0, -1). Write down the coordinates of the image.
- 20th September 19602 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 21st September 1960Four classes in order have frequencies 12, 12, 4, 3. Write down the cumulative frequency at the end of the third class.
- 22nd September 1960A mass is 57 kg, correct to the nearest whole number. Write down the lower bound.
- 23rd September 1960Factorise x^2 + 4x - 32.
- 24th September 1960y is directly proportional to x^2. When x = 2, y = 20. Work out y when x = 4.
- 25th September 1960Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 1920 cm^3. Work out the volume of the smaller.
- 26th September 196027 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 27th September 196045 beetles are marked and released. Later 99 are caught, of which 9 are marked. Estimate the population.
- 28th September 1960Write 9^-3 as a fraction.
- 29th September 1960Work out the equation of the line parallel to y = -x + 8 that passes through (5, -4).
- 30th September 1960y is directly proportional to x. When x = 9, y = 36. Work out y when x = 6.