Daily Practice · Higher
February 1971 5-a-day
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The batch download puts all 5 tiers' February 1971 sheets in a single PDF, each tier behind its own divider page - 140 sheets in one file.
Every sheet in February 1971
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 197122 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 2nd February 197145 fish are marked and released. Later 55 are caught, of which 5 are marked. Estimate the population.
- 3rd February 1971A bill is £744 including VAT at 20%. Work out the amount before VAT.
- 4th February 1971A region is defined by y < -4x - 4. Should the boundary line be solid or dashed, and why?
- 5th February 1971y is directly proportional to x. When x = 4, y = 16. Work out y when x = 13.
- 6th February 1971The point (5, 3) is enlarged by scale factor -1 about the centre (-1, -2). Write down the coordinates of the image.
- 7th February 19712 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 8th February 1971A cumulative frequency graph is drawn for 76 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 9th February 1971A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 10th February 1971Factorise x^2 + 8x - 9.
- 11th February 1971A town's population is 15000 and grows by 4% each year. Work out the population after 4 years, to the nearest whole number.
- 12th February 1971Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 1664 cm^3. Work out the volume of the smaller.
- 13th February 197126 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 14th February 1971A box plot has a minimum of 20 and a maximum of 31. Work out the range.
- 15th February 1971Work out (36 x 10^11) / (6 x 10^5). Give your answer in standard form.
- 16th February 1971Work out the equation of the line parallel to y = 5x + 3 that passes through (3, 4).
- 17th February 1971A block has volume 165 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 18th February 1971A right-angled triangle has a hypotenuse of 20 cm and one shorter side of 12 cm. Work out the other shorter side.
- 19th February 19712 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 20th February 1971A box plot has minimum 6, lower quartile 15, median 22, upper quartile 30 and maximum 40. Work out the interquartile range.
- 21st February 1971Write the recurring decimal 0.222... as a fraction in its simplest form.
- 22nd February 1971A line has equation y = -5x + 2. Work out the gradient of any line perpendicular to it.
- 23rd February 1971x : y = 5 : 6. Write y in terms of x.
- 24th February 1971ABCD is a cyclic quadrilateral. Angle ABC is 90°. Work out angle ADC.
- 25th February 197122 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 26th February 1971A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 27th February 1971Work out 216^(2/3).
- 28th February 1971For the curve y = -60/x, work out y when x = -10, and write down the equation of its vertical asymptote.