Daily Practice · Higher
September 1952 5-a-day
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The batch download puts all 5 tiers' September 1952 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in September 1952
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 1952In triangle ABC, angle A is 68°, angle B is 62° and side a is 9 cm. Use the sine rule to work out side b, to 1 decimal place.
- 2nd September 19521 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 3rd September 1952Four classes in order have frequencies 12, 7, 11, 6. Write down the cumulative frequency at the end of the third class.
- 4th September 1952A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 5th September 1952Factorise x^2 - 100.
- 6th September 1952y is directly proportional to x^2. When x = 3, y = 54. Work out y when x = 5.
- 7th September 1952A right-angled triangle has sides 9 cm, 12 cm and 15 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
- 8th September 195232 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 9th September 195245 voles are marked and released. Later 77 are caught, of which 7 are marked. Estimate the population.
- 10th September 1952Work out (24 x 10^11) / (8 x 10^3). Give your answer in standard form.
- 11th September 1952A region is defined by y < 2x + 2. Should the boundary line be solid or dashed, and why?
- 12th September 1952y is directly proportional to x. When x = 2, y = 22. Work out y when x = 4.
- 13th September 1952The point (-4, 5) is enlarged by scale factor -3 about the centre (-1, 2). Write down the coordinates of the image.
- 14th September 19522 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 15th September 1952A cumulative frequency graph is drawn for 128 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 16th September 1952Write the recurring decimal 0.444... as a fraction in its simplest form.
- 17th September 1952Factorise x^2 + 5x - 36.
- 18th September 1952A town's population is 20000 and grows by 3% each year. Work out the population after 4 years, to the nearest whole number.
- 19th September 1952Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 136 cm^3. Work out the volume of the smaller.
- 20th September 195225 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 21st September 1952A box plot has a minimum of 6 and a maximum of 18. Work out the range.
- 22nd September 1952Work out 36^(3/2).
- 23rd September 1952Work out the equation of the line parallel to y = -2x - 1 that passes through (6, -14).
- 24th September 1952A block has volume 170 cm^3 and density 4 g/cm^3. Work out its mass.
- 25th September 1952A right-angled triangle has a hypotenuse of 41 cm and one shorter side of 40 cm. Work out the other shorter side.
- 26th September 19524 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 27th September 1952A box plot has minimum 6, lower quartile 13, median 22, upper quartile 31 and maximum 35. Work out the interquartile range.
- 28th September 1952Write sqrt(20) in the form a sqrt(b), where b is as small as possible.
- 29th September 1952A line has equation y = -3x + 1. Work out the gradient of any line perpendicular to it.
- 30th September 1952x : y = 3 : 7. Write y in terms of x.