Daily Practice · Higher
January 1962 5-a-day
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The batch download puts all 5 tiers' January 1962 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in January 1962
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st January 19621 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 2nd January 196215 newts are marked and released. Later 72 are caught, of which 9 are marked. Estimate the population.
- 3rd January 1962Write 7^-2 as a fraction.
- 4th January 1962Factorise x^2 - 25.
- 5th January 1962y is directly proportional to x. When x = 8, y = 16. Work out y when x = 10.
- 6th January 1962A right-angled triangle has sides 12 cm, 16 cm and 20 cm. Work out the angle opposite the 12 cm side, to 1 decimal place.
- 7th January 196222 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 8th January 1962A cumulative frequency graph is drawn for 132 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 9th January 1962Work out (8 x 10^6) x (2 x 10^6). Give your answer in standard form.
- 10th January 1962A region is defined by y < -x + 4. Should the boundary line be solid or dashed, and why?
- 11th January 1962A town's population is 34000 and grows by 5% each year. Work out the population after 5 years, to the nearest whole number.
- 12th January 1962The point (6, -5) is enlarged by scale factor -2 about the centre (-2, 0). Write down the coordinates of the image.
- 13th January 19621 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 14th January 1962A box plot has a minimum of 2 and a maximum of 27. Work out the range.
- 15th January 1962Write the recurring decimal 0.9494... as a fraction in its simplest form.
- 16th January 1962Factorise x^2 + 17x + 72.
- 17th January 1962A block has volume 155 cm^3 and density 11 g/cm^3. Work out its mass.
- 18th January 1962Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 1344 cm^3. Work out the volume of the smaller.
- 19th January 196229 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 20th January 1962A box plot has minimum 8, lower quartile 17, median 24, upper quartile 32 and maximum 40. Work out the interquartile range.
- 21st January 1962A bill is £240 including VAT at 20%. Work out the amount before VAT.
- 22nd January 1962Work out the equation of the line parallel to y = -2x + 3 that passes through (6, -3).
- 23rd January 1962x : y = 3 : 7. Write y in terms of x.
- 24th January 1962A right-angled triangle has a hypotenuse of 5 cm and one shorter side of 4 cm. Work out the other shorter side.
- 25th January 19626 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 26th January 1962A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 27th January 1962A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 28th January 1962A line has equation y = 2x + 4. Work out the gradient of any line perpendicular to it.
- 29th January 1962A price rises by 10% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 30th January 1962ABCD is a cyclic quadrilateral. Angle ABC is 86°. Work out angle ADC.
- 31st January 196218 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.