Daily Practice · Higher
November 1972 5-a-day
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The batch download puts all 5 tiers' November 1972 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 1972
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 1972Work out the equation of the line parallel to y = -4x + 5 that passes through (4, -15).
- 2nd November 1972A town's population is 30000 and grows by 8% each year. Work out the population after 6 years, to the nearest whole number.
- 3rd November 1972A right-angled triangle has a hypotenuse of 15 cm and one shorter side of 9 cm. Work out the other shorter side.
- 4th November 19722 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 5th November 1972A box plot has a minimum of 4 and a maximum of 38. Work out the range.
- 6th November 1972Write 5^-3 as a fraction.
- 7th November 1972A line has equation y = 4x + 3. Work out the gradient of any line perpendicular to it.
- 8th November 1972A block has volume 20 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 9th November 1972ABCD is a cyclic quadrilateral. Angle ABC is 120°. Work out angle ADC.
- 10th November 197226 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 11th November 1972A box plot has minimum 4, lower quartile 9, median 11, upper quartile 19 and maximum 26. Work out the interquartile range.
- 12th November 1972Work out (3 x 10^7) x (5 x 10^4). Give your answer in standard form.
- 13th November 1972For the curve y = -36/x, work out y when x = 4, and write down the equation of its vertical asymptote.
- 14th November 1972x : y = 4 : 5. Write y in terms of x.
- 15th November 1972A, B and C are points on a circle with centre O. Angle AOC is 64°. Work out angle ABC, where B is on the major arc.
- 16th November 19722 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 17th November 1972A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 18th November 1972Write the recurring decimal 0.8888... as a fraction in its simplest form.
- 19th November 1972Expand and simplify (x - 1)(x - 5)(x + 5).
- 20th November 1972A price rises by 15% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 21st November 1972A cone has base radius 7 cm and vertical height 6 cm. Work out its volume, leaving your answer in terms of pi.
- 22nd November 197217 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 23rd November 1972A histogram class is 4 units wide and contains 2 values. Work out the frequency density.
- 24th November 1972A bill is £480 including VAT at 20%. Work out the amount before VAT.
- 25th November 1972Make x the subject of y = 6x^2 - 3.
- 26th November 1972y is inversely proportional to x. When x = 5, y = 12. Work out y when x = 4.
- 27th November 1972In triangle ABC, angle A is 75°, angle B is 54° and side a is 17 cm. Use the sine rule to work out side b, to 1 decimal place.
- 28th November 19722 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 29th November 1972Four classes in order have frequencies 10, 4, 8, 4. Write down the cumulative frequency at the end of the third class.
- 30th November 1972A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?