Daily Practice · Higher
February 1968 5-a-day
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The batch download puts all 5 tiers' February 1968 sheets in a single PDF, each tier behind its own divider page - 145 sheets in one file.
Every sheet in February 1968
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 1968Work out 81^(3/2).
- 2nd February 1968Factorise x^2 + 12x + 32.
- 3rd February 1968y is directly proportional to x^2. When x = 3, y = 81. Work out y when x = 7.
- 4th February 1968Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 280 cm^3. Work out the volume of the smaller.
- 5th February 196816 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 6th February 196840 newts are marked and released. Later 18 are caught, of which 6 are marked. Estimate the population.
- 7th February 1968Write sqrt(45) in the form a sqrt(b), where b is as small as possible.
- 8th February 1968Work out the equation of the line parallel to y = 5x - 3 that passes through (1, 0).
- 9th February 1968y is directly proportional to x. When x = 7, y = 14. Work out y when x = 8.
- 10th February 1968A right-angled triangle has a hypotenuse of 29 cm and one shorter side of 21 cm. Work out the other shorter side.
- 11th February 19686 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 12th February 1968A cumulative frequency graph is drawn for 192 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 13th February 1968A meal deal has 9 mains, 6 sides and 2 drinks. How many different meals are possible?
- 14th February 1968A line has equation y = 3x + 3. Work out the gradient of any line perpendicular to it.
- 15th February 1968A town's population is 33500 and grows by 8% each year. Work out the population after 2 years, to the nearest whole number.
- 16th February 1968ABCD is a cyclic quadrilateral. Angle ABC is 93°. Work out angle ADC.
- 17th February 196817 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 18th February 1968A box plot has a minimum of 14 and a maximum of 46. Work out the range.
- 19th February 1968A mass is 720 kg, correct to the nearest 10. Write down the upper bound.
- 20th February 1968For the curve y = 8/x, work out y when x = -2, and write down the equation of its vertical asymptote.
- 21st February 1968A block has volume 145 cm^3 and density 11 g/cm^3. Work out its mass.
- 22nd February 1968A, B and C are points on a circle with centre O. Angle AOC is 48°. Work out angle ABC, where B is on the major arc.
- 23rd February 19683 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 24th February 1968A box plot has minimum 9, lower quartile 18, median 27, upper quartile 35 and maximum 37. Work out the interquartile range.
- 25th February 1968Write 3^-1 as a fraction.
- 26th February 1968Expand and simplify (x + 1)(x - 1)(x - 1).
- 27th February 1968x : y = 3 : 8. Write y in terms of x.
- 28th February 1968A cone has base radius 5 cm and vertical height 21 cm. Work out its volume, leaving your answer in terms of pi.
- 29th February 19689 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.