Daily Practice · Higher
September 1975 5-a-day
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The batch download puts all 5 tiers' September 1975 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in September 1975
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 1975In triangle ABC, angle A is 57°, angle B is 82° and side a is 17 cm. Use the sine rule to work out side b, to 1 decimal place.
- 2nd September 19752 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 3rd September 1975Four classes in order have frequencies 9, 8, 3, 4. Write down the cumulative frequency at the end of the third class.
- 4th September 1975Work out 25^(3/2).
- 5th September 1975Factorise x^2 - 36.
- 6th September 1975y is directly proportional to x^2. When x = 5, y = 125. Work out y when x = 4.
- 7th September 1975A right-angled triangle has sides 12 cm, 16 cm and 20 cm. Work out the angle opposite the 12 cm side, to 1 decimal place.
- 8th September 197513 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 September 197530 newts are marked and released. Later 12 are caught, of which 4 are marked. Estimate the population.
- 10th September 1975Write sqrt(72) in the form a sqrt(b), where b is as small as possible.
- 11th September 1975A region is defined by y <= -3x + 7. Should the boundary line be solid or dashed, and why?
- 12th September 1975y is directly proportional to x. When x = 6, y = 48. Work out y when x = 9.
- 13th September 1975The point (-3, -5) is enlarged by scale factor -1 about the centre (4, 0). Write down the coordinates of the image.
- 14th September 19754 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 15th September 1975A cumulative frequency graph is drawn for 196 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 16th September 1975A meal deal has 9 mains, 7 sides and 3 drinks. How many different meals are possible?
- 17th September 1975Factorise x^2 - 11x + 18.
- 18th September 1975A town's population is 10500 and grows by 4% each year. Work out the population after 2 years, to the nearest whole number.
- 19th September 1975Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 32 cm^3. Work out the volume of the smaller.
- 20th September 197511 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 21st September 1975A box plot has a minimum of 16 and a maximum of 34. Work out the range.
- 22nd September 1975A mass is 50 kg, correct to the nearest whole number. Write down the lower bound.
- 23rd September 1975Work out the equation of the line parallel to y = -3x - 3 that passes through (6, -23).
- 24th September 1975A block has volume 130 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 25th September 1975A right-angled triangle has a hypotenuse of 5 cm and one shorter side of 3 cm. Work out the other shorter side.
- 26th September 19755 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 27th September 1975A box plot has minimum 9, lower quartile 12, median 16, upper quartile 22 and maximum 30. Work out the interquartile range.
- 28th September 1975Write 7^-1 as a fraction.
- 29th September 1975A line has equation y = -4x + 9. Work out the gradient of any line perpendicular to it.
- 30th September 1975x : y = 2 : 5. Write y in terms of x.