Daily Practice · Higher
September 1977 5-a-day
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The batch download puts all 5 tiers' September 1977 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in September 1977
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 1977A town's population is 33500 and grows by 8% each year. Work out the population after 3 years, to the nearest whole number.
- 2nd September 1977The point (5, -3) is enlarged by scale factor -1 about the centre (2, 1). Write down the coordinates of the image.
- 3rd September 19772 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 4th September 1977A box plot has a minimum of 15 and a maximum of 54. Work out the range.
- 5th September 1977Write sqrt(32) in the form a sqrt(b), where b is as small as possible.
- 6th September 1977Factorise x^2 - 3x - 54.
- 7th September 1977A block has volume 105 cm^3 and density 4 g/cm^3. Work out its mass.
- 8th September 1977Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 729 cm^3. Work out the volume of the smaller.
- 9th September 197716 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 10th September 1977A box plot has minimum 4, lower quartile 12, median 16, upper quartile 18 and maximum 22. Work out the interquartile range.
- 11th September 1977A meal deal has 5 mains, 3 sides and 5 drinks. How many different meals are possible?
- 12th September 1977Work out the equation of the line parallel to y = -3x + 3 that passes through (5, -12).
- 13th September 1977x : y = 2 : 3. Write y in terms of x.
- 14th September 1977A right-angled triangle has a hypotenuse of 25 cm and one shorter side of 24 cm. Work out the other shorter side.
- 15th September 19772 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 16th September 1977A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 17th September 1977A mass is 710 kg, correct to the nearest 10. Write down the lower bound.
- 18th September 1977A line has equation y = 5x + 8. Work out the gradient of any line perpendicular to it.
- 19th September 1977A price rises by 25% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 20th September 1977ABCD is a cyclic quadrilateral. Angle ABC is 83°. Work out angle ADC.
- 21st September 197712 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 22nd September 1977A histogram class is 5 units wide and contains 12.5 values. Work out the frequency density.
- 23rd September 1977Write 2^-3 as a fraction.
- 24th September 1977For the curve y = -24/x, work out y when x = -2, and write down the equation of its vertical asymptote.
- 25th September 1977y is inversely proportional to x. When x = 6, y = 20. Work out y when x = 4.
- 26th September 1977A, B and C are points on a circle with centre O. Angle AOC is 164°. Work out angle ABC, where B is on the major arc.
- 27th September 19774 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 28th September 1977Four classes in order have frequencies 3, 5, 6, 9. Write down the cumulative frequency at the end of the third class.
- 29th September 1977Work out (5 x 10^7) x (3 x 10^5). Give your answer in standard form.
- 30th September 1977Expand and simplify (x + 4)(x - 4)(x - 3).