Daily Practice · Higher
March 1967 5-a-day
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The batch download puts all 5 tiers' March 1967 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 1967
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 1967Four classes in order have frequencies 9, 10, 7, 8. Write down the cumulative frequency at the end of the third class.
- 2nd March 1967Write the recurring decimal 0.222... as a fraction in its simplest form.
- 3rd March 1967Factorise x^2 - 17x + 72.
- 4th March 1967y is directly proportional to x^2. When x = 2, y = 8. Work out y when x = 8.
- 5th March 1967Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 184 cm^3. Work out the volume of the smaller.
- 6th March 196724 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 7th March 196750 fish are marked and released. Later 42 are caught, of which 7 are marked. Estimate the population.
- 8th March 1967Work out 49^(3/2).
- 9th March 1967Work out the equation of the line parallel to y = 5x - 1 that passes through (4, 10).
- 10th March 1967y is directly proportional to x. When x = 5, y = 40. Work out y when x = 11.
- 11th March 1967A right-angled triangle has a hypotenuse of 41 cm and one shorter side of 9 cm. Work out the other shorter side.
- 12th March 19672 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 13th March 1967A cumulative frequency graph is drawn for 108 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 14th March 1967Write sqrt(8) in the form a sqrt(b), where b is as small as possible.
- 15th March 1967A line has equation y = 2x + 7. Work out the gradient of any line perpendicular to it.
- 16th March 1967A town's population is 9000 and grows by 8% each year. Work out the population after 3 years, to the nearest whole number.
- 17th March 1967ABCD is a cyclic quadrilateral. Angle ABC is 109°. Work out angle ADC.
- 18th March 196712 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 March 1967A box plot has a minimum of 2 and a maximum of 23. Work out the range.
- 20th March 1967A meal deal has 7 mains, 5 sides and 3 drinks. How many different meals are possible?
- 21st March 1967For the curve y = -20/x, work out y when x = 10, and write down the equation of its vertical asymptote.
- 22nd March 1967A block has volume 145 cm^3 and density 11 g/cm^3. Work out its mass.
- 23rd March 1967A, B and C are points on a circle with centre O. Angle AOC is 124°. Work out angle ABC, where B is on the major arc.
- 24th March 19674 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 25th March 1967A box plot has minimum 4, lower quartile 6, median 9, upper quartile 17 and maximum 22. Work out the interquartile range.
- 26th March 1967A mass is 130 kg, correct to the nearest 10. Write down the lower bound.
- 27th March 1967Expand and simplify (x + 2)(x - 2)(x + 3).
- 28th March 1967x : y = 2 : 9. Write y in terms of x.
- 29th March 1967A cone has base radius 4 cm and vertical height 12 cm. Work out its volume, leaving your answer in terms of pi.
- 30th March 196716 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 31st March 1967A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.