Daily Practice · Higher
August 1970 5-a-day
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The batch download puts all 5 tiers' August 1970 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in August 1970
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 1970Work out (63 x 10^6) / (9 x 10^4). Give your answer in standard form.
- 2nd August 1970Factorise x^2 - 3x + 2.
- 3rd August 1970A price rises by 10% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 4th August 1970Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 2560 cm^3. Work out the volume of the smaller.
- 5th August 197018 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 6th August 1970A histogram class is 2 units wide and contains 6 values. Work out the frequency density.
- 7th August 1970Write the recurring decimal 0.333... as a fraction in its simplest form.
- 8th August 1970Work out the equation of the line parallel to y = -2x - 1 that passes through (2, -8).
- 9th August 1970y is inversely proportional to x. When x = 8, y = 20. Work out y when x = 10.
- 10th August 1970A right-angled triangle has a hypotenuse of 10 cm and one shorter side of 6 cm. Work out the other shorter side.
- 11th August 19702 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 12th August 1970Four classes in order have frequencies 3, 12, 12, 3. Write down the cumulative frequency at the end of the third class.
- 13th August 1970Work out 25^(3/2).
- 14th August 1970A line has equation y = -5x + 6. Work out the gradient of any line perpendicular to it.
- 15th August 1970y is directly proportional to x^2. When x = 5, y = 175. Work out y when x = 8.
- 16th August 1970ABCD is a cyclic quadrilateral. Angle ABC is 117°. Work out angle ADC.
- 17th August 197020 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 18th August 197040 beetles are marked and released. Later 27 are caught, of which 3 are marked. Estimate the population.
- 19th August 1970Write sqrt(32) in the form a sqrt(b), where b is as small as possible.
- 20th August 1970For the curve y = 25/x, work out y when x = 5, and write down the equation of its vertical asymptote.
- 21st August 1970y is directly proportional to x. When x = 3, y = 36. Work out y when x = 4.
- 22nd August 1970A, 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.
- 23rd August 19703 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 24th August 1970A cumulative frequency graph is drawn for 152 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 25th August 1970A meal deal has 7 mains, 5 sides and 5 drinks. How many different meals are possible?
- 26th August 1970Expand and simplify (x - 4)(x - 5)(x - 1).
- 27th August 1970A town's population is 9000 and grows by 6% each year. Work out the population after 3 years, to the nearest whole number.
- 28th August 1970A cone has base radius 3 cm and vertical height 21 cm. Work out its volume, leaving your answer in terms of pi.
- 29th August 197024 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 30th August 1970A box plot has a minimum of 11 and a maximum of 42. Work out the range.
- 31st August 1970A mass is 640 kg, correct to the nearest 10. Write down the lower bound.