Daily Practice · Higher
July 1970 5-a-day
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The batch download puts all 5 tiers' July 1970 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in July 1970
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st July 1970Four classes in order have frequencies 12, 7, 7, 11. Write down the cumulative frequency at the end of the third class.
- 2nd July 1970Write 4^-2 as a fraction.
- 3rd July 1970For the curve y = 22/x, work out y when x = 2, and write down the equation of its vertical asymptote.
- 4th July 1970y is directly proportional to x^2. When x = 4, y = 64. Work out y when x = 5.
- 5th July 1970A, B and C are points on a circle with centre O. Angle AOC is 162°. Work out angle ABC, where B is on the major arc.
- 6th July 19706 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 7th July 197060 beetles are marked and released. Later 84 are caught, of which 7 are marked. Estimate the population.
- 8th July 1970Work out (4 x 10^7) x (5 x 10^-5). Give your answer in standard form.
- 9th July 1970Expand and simplify (x + 2)(x - 2)(x - 1).
- 10th July 1970y is directly proportional to x. When x = 9, y = 36. Work out y when x = 3.
- 11th July 1970A cone has base radius 5 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 12th July 197022 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 13th July 1970A cumulative frequency graph is drawn for 48 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 14th July 1970Write the recurring decimal 0.6666... as a fraction in its simplest form.
- 15th July 1970Make x the subject of y = 5x^2 - 9.
- 16th July 1970A town's population is 2000 and grows by 5% each year. Work out the population after 2 years, to the nearest whole number.
- 17th July 1970In triangle ABC, angle A is 52°, angle B is 67° and side a is 7 cm. Use the sine rule to work out side b, to 1 decimal place.
- 18th July 19702 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 19th July 1970A box plot has a minimum of 11 and a maximum of 32. Work out the range.
- 20th July 1970A bill is £504 including VAT at 20%. Work out the amount before VAT.
- 21st July 1970Factorise x^2 - 25.
- 22nd July 1970A block has volume 80 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 23rd July 1970A right-angled triangle has sides 6 cm, 8 cm and 10 cm. Work out the angle opposite the 6 cm side, to 1 decimal place.
- 24th July 197010 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 25th July 1970A box plot has minimum 11, lower quartile 20, median 23, upper quartile 33 and maximum 39. Work out the interquartile range.
- 26th July 1970A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 27th July 1970A region is defined by y <= -x + 5. Should the boundary line be solid or dashed, and why?
- 28th July 1970x : y = 3 : 7. Write y in terms of x.
- 29th July 1970The point (0, -4) is enlarged by scale factor -1 about the centre (-3, -4). Write down the coordinates of the image.
- 30th July 19708 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 31st July 1970A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.