Daily Practice · Higher
January 1969 5-a-day
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The batch download puts all 5 tiers' January 1969 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in January 1969
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st January 1969Four classes in order have frequencies 6, 4, 7, 6. Write down the cumulative frequency at the end of the third class.
- 2nd January 1969Write sqrt(12) in the form a sqrt(b), where b is as small as possible.
- 3rd January 1969Factorise x^2 + 9x + 14.
- 4th January 1969y is directly proportional to x^2. When x = 4, y = 64. Work out y when x = 8.
- 5th January 1969Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 216 cm^3. Work out the volume of the smaller.
- 6th January 196913 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 7th January 196910 beetles are marked and released. Later 24 are caught, of which 6 are marked. Estimate the population.
- 8th January 1969A meal deal has 9 mains, 9 sides and 3 drinks. How many different meals are possible?
- 9th January 1969Work out the equation of the line parallel to y = x + 5 that passes through (4, 3).
- 10th January 1969y is directly proportional to x. When x = 3, y = 33. Work out y when x = 12.
- 11th January 1969A right-angled triangle has a hypotenuse of 5 cm and one shorter side of 4 cm. Work out the other shorter side.
- 12th January 19693 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 13th January 1969A cumulative frequency graph is drawn for 68 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 14th January 1969A mass is 60 kg, correct to the nearest 10. Write down the upper bound.
- 15th January 1969A line has equation y = -4x + 1. Work out the gradient of any line perpendicular to it.
- 16th January 1969A town's population is 2500 and grows by 5% each year. Work out the population after 3 years, to the nearest whole number.
- 17th January 1969ABCD is a cyclic quadrilateral. Angle ABC is 70°. Work out angle ADC.
- 18th January 196913 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 19th January 1969A box plot has a minimum of 14 and a maximum of 32. Work out the range.
- 20th January 1969Write 8^-3 as a fraction.
- 21st January 1969For the curve y = 6/x, work out y when x = -2, and write down the equation of its vertical asymptote.
- 22nd January 1969A block has volume 135 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 23rd January 1969A, B and C are points on a circle with centre O. Angle AOC is 108°. Work out angle ABC, where B is on the major arc.
- 24th January 19692 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 25th January 1969A box plot has minimum 7, lower quartile 16, median 23, upper quartile 27 and maximum 30. Work out the interquartile range.
- 26th January 1969Work out (6 x 10^6) x (9 x 10^-3). Give your answer in standard form.
- 27th January 1969Expand and simplify (x + 1)(x + 3)(x - 4).
- 28th January 1969x : y = 4 : 5. Write y in terms of x.
- 29th January 1969A cone has base radius 5 cm and vertical height 3 cm. Work out its volume, leaving your answer in terms of pi.
- 30th January 196924 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 31st January 1969A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.