Daily Practice · Higher
January 1972 5-a-day
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The batch download puts all 5 tiers' January 1972 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in January 1972
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st January 1972y is directly proportional to x^2. When x = 5, y = 225. Work out y when x = 7.
- 2nd January 1972A 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.
- 3rd January 197214 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 4th January 197240 fish are marked and released. Later 24 are caught, of which 6 are marked. Estimate the population.
- 5th January 1972A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 6th January 1972A region is defined by y <= 3x + 7. Should the boundary line be solid or dashed, and why?
- 7th January 1972y is directly proportional to x. When x = 9, y = 18. Work out y when x = 8.
- 8th January 1972The point (-2, 3) is enlarged by scale factor -2 about the centre (1, 3). Write down the coordinates of the image.
- 9th January 19721 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 10th January 1972A cumulative frequency graph is drawn for 48 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 11th January 1972Work out (4 x 10^7) / (2 x 10^3). Give your answer in standard form.
- 12th January 1972Factorise x^2 - 6x - 7.
- 13th January 1972A town's population is 33000 and grows by 6% each year. Work out the population after 6 years, to the nearest whole number.
- 14th January 1972Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 378 cm^3. Work out the volume of the smaller.
- 15th January 197229 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 16th January 1972A box plot has a minimum of 10 and a maximum of 64. Work out the range.
- 17th January 1972Write the recurring decimal 0.555... as a fraction in its simplest form.
- 18th January 1972Work out the equation of the line parallel to y = 3x + 9 that passes through (1, -2).
- 19th January 1972A block has volume 55 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 20th January 1972A right-angled triangle has a hypotenuse of 5 cm and one shorter side of 4 cm. Work out the other shorter side.
- 21st January 19725 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 22nd January 1972A box plot has minimum 14, lower quartile 20, median 29, upper quartile 37 and maximum 43. Work out the interquartile range.
- 23rd January 1972Work out 81^(3/2).
- 24th January 1972A line has equation y = 4x + 1. Work out the gradient of any line perpendicular to it.
- 25th January 1972x : y = 3 : 4. Write y in terms of x.
- 26th January 1972ABCD is a cyclic quadrilateral. Angle ABC is 130°. Work out angle ADC.
- 27th January 197219 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 28th January 1972A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 29th January 1972Write sqrt(98) in the form a sqrt(b), where b is as small as possible.
- 30th January 1972For the curve y = 70/x, work out y when x = -10, and write down the equation of its vertical asymptote.
- 31st January 1972A price rises by 10% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.