Daily Practice · Higher
August 1953 5-a-day
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The batch download puts all 5 tiers' August 1953 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in August 1953
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 1953Make x the subject of y = 6x^2 - 9.
- 2nd August 1953y is inversely proportional to x. When x = 5, y = 8. Work out y when x = 2.
- 3rd August 1953In triangle ABC, angle A is 69°, angle B is 39° and side a is 13 cm. Use the sine rule to work out side b, to 1 decimal place.
- 4th August 19531 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 5th August 1953Four classes in order have frequencies 12, 6, 10, 5. Write down the cumulative frequency at the end of the third class.
- 6th August 1953Work out (42 x 10^6) / (7 x 10^5). Give your answer in standard form.
- 7th August 1953Factorise x^2 - 25.
- 8th August 1953y is directly proportional to x^2. When x = 3, y = 45. Work out y when x = 4.
- 9th August 1953A 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.
- 10th August 195320 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 11th August 195330 voles are marked and released. Later 72 are caught, of which 9 are marked. Estimate the population.
- 12th August 1953Write the recurring decimal 0.444... as a fraction in its simplest form.
- 13th August 1953A region is defined by y <= 4x - 1. Should the boundary line be solid or dashed, and why?
- 14th August 1953y is directly proportional to x. When x = 2, y = 14. Work out y when x = 15.
- 15th August 1953The point (1, 3) is enlarged by scale factor -1 about the centre (4, -2). Write down the coordinates of the image.
- 16th August 19533 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 17th August 1953A cumulative frequency graph is drawn for 140 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 18th August 1953Work out 216^(2/3).
- 19th August 1953Factorise x^2 - 6x - 27.
- 20th August 1953A town's population is 11000 and grows by 5% each year. Work out the population after 6 years, to the nearest whole number.
- 21st August 1953Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 2176 cm^3. Work out the volume of the smaller.
- 22nd August 195312 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 23rd August 1953A box plot has a minimum of 5 and a maximum of 28. Work out the range.
- 24th August 1953Write sqrt(18) in the form a sqrt(b), where b is as small as possible.
- 25th August 1953Work out the equation of the line parallel to y = -x - 5 that passes through (3, 2).
- 26th August 1953A block has volume 85 cm^3 and density 4 g/cm^3. Work out its mass.
- 27th August 1953A right-angled triangle has a hypotenuse of 26 cm and one shorter side of 10 cm. Work out the other shorter side.
- 28th August 19534 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 29th August 1953A box plot has minimum 5, lower quartile 14, median 18, upper quartile 20 and maximum 23. Work out the interquartile range.
- 30th August 1953A meal deal has 3 mains, 7 sides and 5 drinks. How many different meals are possible?
- 31st August 1953A line has equation y = 3x + 7. Work out the gradient of any line perpendicular to it.