Daily Practice · Higher
October 1974 5-a-day
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The batch download puts all 5 tiers' October 1974 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in October 1974
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st October 19744 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 2nd October 1974Four classes in order have frequencies 4, 8, 5, 3. Write down the cumulative frequency at the end of the third class.
- 3rd October 1974Write the recurring decimal 0.111... as a fraction in its simplest form.
- 4th October 1974Factorise x^2 - 36.
- 5th October 1974y is directly proportional to x^2. When x = 3, y = 81. Work out y when x = 5.
- 6th October 1974A right-angled triangle has sides 7 cm, 24 cm and 25 cm. Work out the angle opposite the 7 cm side, to 1 decimal place.
- 7th October 197417 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 8th October 197435 beetles are marked and released. Later 32 are caught, of which 8 are marked. Estimate the population.
- 9th October 1974Work out 8^(2/3).
- 10th October 1974A region is defined by y < -4x + 5. Should the boundary line be solid or dashed, and why?
- 11th October 1974y is directly proportional to x. When x = 9, y = 72. Work out y when x = 14.
- 12th October 1974The point (-5, 6) is enlarged by scale factor -2 about the centre (-1, 0). Write down the coordinates of the image.
- 13th October 19741 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 14th October 1974A cumulative frequency graph is drawn for 100 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 15th October 1974Write sqrt(48) in the form a sqrt(b), where b is as small as possible.
- 16th October 1974Factorise x^2 - 25.
- 17th October 1974A town's population is 39500 and grows by 6% each year. Work out the population after 4 years, to the nearest whole number.
- 18th October 1974Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 756 cm^3. Work out the volume of the smaller.
- 19th October 197422 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 20th October 1974A box plot has a minimum of 12 and a maximum of 31. Work out the range.
- 21st October 1974A meal deal has 6 mains, 6 sides and 3 drinks. How many different meals are possible?
- 22nd October 1974Work out the equation of the line parallel to y = 5x - 9 that passes through (2, 5).
- 23rd October 1974A block has volume 15 cm^3 and density 4 g/cm^3. Work out its mass.
- 24th October 1974A right-angled triangle has a hypotenuse of 5 cm and one shorter side of 3 cm. Work out the other shorter side.
- 25th October 19746 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 26th October 1974A box plot has minimum 8, lower quartile 14, median 18, upper quartile 28 and maximum 30. Work out the interquartile range.
- 27th October 1974A mass is 5 kg, correct to the nearest whole number. Write down the upper bound.
- 28th October 1974A line has equation y = 5x + 4. Work out the gradient of any line perpendicular to it.
- 29th October 1974x : y = 5 : 9. Write y in terms of x.
- 30th October 1974ABCD is a cyclic quadrilateral. Angle ABC is 108°. Work out angle ADC.
- 31st October 197416 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.