Daily Practice · Higher
February 1957 5-a-day
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The batch download puts all 5 tiers' February 1957 sheets in a single PDF, each tier behind its own divider page - 140 sheets in one file.
Every sheet in February 1957
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 1957ABCD is a cyclic quadrilateral. Angle ABC is 80°. Work out angle ADC.
- 2nd February 195721 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 3rd February 1957A box plot has a minimum of 4 and a maximum of 56. Work out the range.
- 4th February 1957A meal deal has 5 mains, 8 sides and 3 drinks. How many different meals are possible?
- 5th February 1957For the curve y = -4/x, work out y when x = 1, and write down the equation of its vertical asymptote.
- 6th February 1957A block has volume 30 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 7th February 1957A, B and C are points on a circle with centre O. Angle AOC is 70°. Work out angle ABC, where B is on the major arc.
- 8th February 19578 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 9th February 1957A box plot has minimum 5, lower quartile 14, median 18, upper quartile 24 and maximum 28. Work out the interquartile range.
- 10th February 1957A mass is 19.1 kg, correct to 1 decimal place. Write down the lower bound.
- 11th February 1957Expand and simplify (x + 2)(x - 4)(x - 4).
- 12th February 1957x : y = 3 : 8. Write y in terms of x.
- 13th February 1957A cone has base radius 6 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
- 14th February 195722 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 15th February 1957A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 16th February 1957Write 7^-3 as a fraction.
- 17th February 1957Make x the subject of y = 3x^2 - 3.
- 18th February 1957A price rises by 10% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 19th February 1957In triangle ABC, angle A is 43°, angle B is 45° and side a is 12 cm. Use the sine rule to work out side b, to 1 decimal place.
- 20th February 19573 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 21st February 1957A histogram class is 10 units wide and contains 15 values. Work out the frequency density.
- 22nd February 1957Work out (7 x 10^3) x (8 x 10^-2). Give your answer in standard form.
- 23rd February 1957Factorise x^2 - 100.
- 24th February 1957y is inversely proportional to x. When x = 3, y = 20. Work out y when x = 5.
- 25th February 1957A right-angled triangle has sides 9 cm, 12 cm and 15 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
- 26th February 195729 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 27th February 1957Four classes in order have frequencies 10, 12, 4, 3. Write down the cumulative frequency at the end of the third class.
- 28th February 1957Write the recurring decimal 0.8686... as a fraction in its simplest form.