Daily Practice · Higher
July 1956 5-a-day
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The batch download puts all 5 tiers' July 1956 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in July 1956
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st July 195620 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 2nd July 1956A cumulative frequency graph is drawn for 172 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 3rd July 1956Write the recurring decimal 0.666... as a fraction in its simplest form.
- 4th July 1956A region is defined by y < -5x - 3. Should the boundary line be solid or dashed, and why?
- 5th July 1956A town's population is 12500 and grows by 6% each year. Work out the population after 2 years, to the nearest whole number.
- 6th July 1956The point (0, 5) is enlarged by scale factor -2 about the centre (0, 0). Write down the coordinates of the image.
- 7th July 19561 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 8th July 1956A box plot has a minimum of 10 and a maximum of 66. Work out the range.
- 9th July 1956Work out 25^(3/2).
- 10th July 1956Factorise x^2 + 15x + 54.
- 11th July 1956A block has volume 95 cm^3 and density 8 g/cm^3. Work out its mass.
- 12th July 1956Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 224 cm^3. Work out the volume of the smaller.
- 13th July 195613 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 14th July 1956A box plot has minimum 6, lower quartile 14, median 23, upper quartile 31 and maximum 36. Work out the interquartile range.
- 15th July 1956Write sqrt(75) in the form a sqrt(b), where b is as small as possible.
- 16th July 1956Work out the equation of the line parallel to y = -2x - 1 that passes through (4, -10).
- 17th July 1956x : y = 5 : 7. Write y in terms of x.
- 18th July 1956A right-angled triangle has a hypotenuse of 20 cm and one shorter side of 12 cm. Work out the other shorter side.
- 19th July 19565 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 20th July 1956A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 21st July 1956A meal deal has 8 mains, 4 sides and 6 drinks. How many different meals are possible?
- 22nd July 1956A line has equation y = 2x + 1. Work out the gradient of any line perpendicular to it.
- 23rd July 1956A price rises by 20% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 24th July 1956ABCD is a cyclic quadrilateral. Angle ABC is 54°. Work out angle ADC.
- 25th July 195616 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 26th July 1956A histogram class is 20 units wide and contains 10 values. Work out the frequency density.
- 27th July 1956A mass is 750 kg, correct to the nearest 10. Write down the lower bound.
- 28th July 1956For the curve y = -25/x, work out y when x = -5, and write down the equation of its vertical asymptote.
- 29th July 1956y is inversely proportional to x. When x = 3, y = 24. Work out y when x = 4.
- 30th July 1956A, B and C are points on a circle with centre O. Angle AOC is 110°. Work out angle ABC, where B is on the major arc.
- 31st July 19564 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.