Daily Practice · Higher
March 1957 5-a-day
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The batch download puts all 5 tiers' March 1957 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 1957
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 1957A region is defined by y <= 5x + 2. Should the boundary line be solid or dashed, and why?
- 2nd March 1957y is directly proportional to x^2. When x = 2, y = 36. Work out y when x = 8.
- 3rd March 1957The point (-1, 6) is enlarged by scale factor -2 about the centre (1, -2). Write down the coordinates of the image.
- 4th March 19576 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 5th March 195715 fish are marked and released. Later 80 are caught, of which 8 are marked. Estimate the population.
- 6th March 1957A bill is £816 including VAT at 20%. Work out the amount before VAT.
- 7th March 1957Factorise x^2 - 6x - 7.
- 8th March 1957y is directly proportional to x. When x = 3, y = 24. Work out y when x = 4.
- 9th March 1957Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 640 cm^3. Work out the volume of the smaller.
- 10th March 195714 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 11th March 1957A cumulative frequency graph is drawn for 84 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 12th March 1957A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 13th March 1957Work out the equation of the line parallel to y = 3x + 8 that passes through (2, 12).
- 14th March 1957A town's population is 23500 and grows by 3% each year. Work out the population after 5 years, to the nearest whole number.
- 15th March 1957A right-angled triangle has a hypotenuse of 15 cm and one shorter side of 9 cm. Work out the other shorter side.
- 16th March 19571 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 17th March 1957A box plot has a minimum of 15 and a maximum of 38. Work out the range.
- 18th March 1957Work out (18 x 10^6) / (2 x 10^5). Give your answer in standard form.
- 19th March 1957A line has equation y = -3x + 2. Work out the gradient of any line perpendicular to it.
- 20th March 1957A block has volume 100 cm^3 and density 4 g/cm^3. Work out its mass.
- 21st March 1957ABCD is a cyclic quadrilateral. Angle ABC is 109°. Work out angle ADC.
- 22nd March 19579 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 23rd March 1957A box plot has minimum 8, lower quartile 15, median 22, upper quartile 27 and maximum 33. Work out the interquartile range.
- 24th March 1957Write the recurring decimal 0.777... as a fraction in its simplest form.
- 25th March 1957For the curve y = 16/x, work out y when x = -2, and write down the equation of its vertical asymptote.
- 26th March 1957x : y = 2 : 3. Write y in terms of x.
- 27th March 1957A, B and C are points on a circle with centre O. Angle AOC is 98°. Work out angle ABC, where B is on the major arc.
- 28th March 19573 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 29th March 1957A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 30th March 1957Work out 100^(3/2).
- 31st March 1957Expand and simplify (x - 2)(x + 5)(x + 3).