Daily Practice · Higher
March 1970 5-a-day
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The batch download puts all 5 tiers' March 1970 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 1970
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 1970A right-angled triangle has sides 5 cm, 12 cm and 13 cm. Work out the angle opposite the 5 cm side, to 1 decimal place.
- 2nd March 197018 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 3rd March 197025 newts are marked and released. Later 72 are caught, of which 6 are marked. Estimate the population.
- 4th March 1970Write the recurring decimal 0.6666... as a fraction in its simplest form.
- 5th March 1970A region is defined by y <= 2x + 5. Should the boundary line be solid or dashed, and why?
- 6th March 1970y is directly proportional to x. When x = 8, y = 16. Work out y when x = 14.
- 7th March 1970The point (-3, 0) is enlarged by scale factor -3 about the centre (-1, -1). Write down the coordinates of the image.
- 8th March 19705 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 9th March 1970A cumulative frequency graph is drawn for 128 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 10th March 1970A bill is £240 including VAT at 20%. Work out the amount before VAT.
- 11th March 1970Factorise x^2 + 5x - 24.
- 12th March 1970A town's population is 31000 and grows by 3% each year. Work out the population after 6 years, to the nearest whole number.
- 13th March 1970Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 200 cm^3. Work out the volume of the smaller.
- 14th March 197028 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 15th March 1970A box plot has a minimum of 5 and a maximum of 53. Work out the range.
- 16th March 1970A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 17th March 1970Work out the equation of the line parallel to y = 3x + 7 that passes through (1, 11).
- 18th March 1970A block has volume 10 cm^3 and density 11 g/cm^3. Work out its mass.
- 19th March 1970A right-angled triangle has a hypotenuse of 25 cm and one shorter side of 7 cm. Work out the other shorter side.
- 20th March 19704 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 21st March 1970A box plot has minimum 11, lower quartile 15, median 20, upper quartile 26 and maximum 28. Work out the interquartile range.
- 22nd March 1970Work out (40 x 10^6) / (8 x 10^4). Give your answer in standard form.
- 23rd March 1970A line has equation y = 3x + 2. Work out the gradient of any line perpendicular to it.
- 24th March 1970x : y = 2 : 5. Write y in terms of x.
- 25th March 1970ABCD is a cyclic quadrilateral. Angle ABC is 62°. Work out angle ADC.
- 26th March 197021 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 27th March 1970A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 28th March 1970Write the recurring decimal 0.222... as a fraction in its simplest form.
- 29th March 1970For the curve y = -110/x, work out y when x = 10, and write down the equation of its vertical asymptote.
- 30th March 1970A price rises by 25% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 31st March 1970A, B and C are points on a circle with centre O. Angle AOC is 148°. Work out angle ABC, where B is on the major arc.