Daily Practice · Higher
July 1954 5-a-day
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The batch download puts all 5 tiers' July 1954 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in July 1954
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st July 1954A histogram class is 2 units wide and contains 1 values. Work out the frequency density.
- 2nd July 1954Work out (16 x 10^7) / (4 x 10^2). Give your answer in standard form.
- 3rd July 1954Make x the subject of y = 6x^2 - 6.
- 4th July 1954y is inversely proportional to x. When x = 9, y = 2. Work out y when x = 2.
- 5th July 1954In triangle ABC, angle A is 63°, angle B is 52° and side a is 9 cm. Use the sine rule to work out side b, to 1 decimal place.
- 6th July 19543 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 7th July 1954Four classes in order have frequencies 8, 6, 4, 9. Write down the cumulative frequency at the end of the third class.
- 8th July 1954Write the recurring decimal 0.111... as a fraction in its simplest form.
- 9th July 1954Factorise x^2 - 36.
- 10th July 1954y is directly proportional to x^2. When x = 6, y = 180. Work out y when x = 7.
- 11th July 1954A 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.
- 12th July 195412 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 13th July 195410 fish are marked and released. Later 81 are caught, of which 9 are marked. Estimate the population.
- 14th July 1954Work out 125^(2/3).
- 15th July 1954A region is defined by y < -x + 9. Should the boundary line be solid or dashed, and why?
- 16th July 1954y is directly proportional to x. When x = 5, y = 60. Work out y when x = 9.
- 17th July 1954The point (6, 2) is enlarged by scale factor -3 about the centre (3, 4). Write down the coordinates of the image.
- 18th July 19544 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 19th July 1954A cumulative frequency graph is drawn for 64 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 20th July 1954Write sqrt(75) in the form a sqrt(b), where b is as small as possible.
- 21st July 1954Factorise x^2 + 8x + 16.
- 22nd July 1954A town's population is 10000 and grows by 6% each year. Work out the population after 3 years, to the nearest whole number.
- 23rd July 1954Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 2496 cm^3. Work out the volume of the smaller.
- 24th July 195413 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 25th July 1954A box plot has a minimum of 17 and a maximum of 71. Work out the range.
- 26th July 1954A meal deal has 6 mains, 6 sides and 4 drinks. How many different meals are possible?
- 27th July 1954Work out the equation of the line parallel to y = x - 4 that passes through (1, 8).
- 28th July 1954A block has volume 95 cm^3 and density 11 g/cm^3. Work out its mass.
- 29th July 1954A right-angled triangle has a hypotenuse of 5 cm and one shorter side of 4 cm. Work out the other shorter side.
- 30th July 19545 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 31st July 1954A box plot has minimum 2, lower quartile 11, median 20, upper quartile 24 and maximum 27. Work out the interquartile range.