Daily Practice · Higher
February 1967 5-a-day
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The batch download puts all 5 tiers' February 1967 sheets in a single PDF, each tier behind its own divider page - 140 sheets in one file.
Every sheet in February 1967
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 1967For the curve y = -4/x, work out y when x = 2, and write down the equation of its vertical asymptote.
- 2nd February 1967A town's population is 26500 and grows by 5% each year. Work out the population after 5 years, to the nearest whole number.
- 3rd February 1967A, B and C are points on a circle with centre O. Angle AOC is 170°. Work out angle ABC, where B is on the major arc.
- 4th February 19671 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 5th February 1967A box plot has a minimum of 4 and a maximum of 31. Work out the range.
- 6th February 1967Write the recurring decimal 0.9090... as a fraction in its simplest form.
- 7th February 1967Expand and simplify (x + 5)(x + 4)(x - 5).
- 8th February 1967A block has volume 160 cm^3 and density 8 g/cm^3. Work out its mass.
- 9th February 1967A cone has base radius 3 cm and vertical height 18 cm. Work out its volume, leaving your answer in terms of pi.
- 10th February 196719 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 11th February 1967A box plot has minimum 12, lower quartile 17, median 20, upper quartile 23 and maximum 31. Work out the interquartile range.
- 12th February 1967A bill is £432 including VAT at 20%. Work out the amount before VAT.
- 13th February 1967Make x the subject of y = 4x^2 - 6.
- 14th February 1967x : y = 3 : 7. Write y in terms of x.
- 15th February 1967In triangle ABC, angle A is 35°, angle B is 99° and side a is 16 cm. Use the sine rule to work out side b, to 1 decimal place.
- 16th February 19671 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 17th February 1967A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 18th February 1967A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 19th February 1967Factorise x^2 - 16.
- 20th February 1967A price rises by 15% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 21st February 1967A right-angled triangle has sides 5 cm, 12 cm and 13 cm. Work out the angle opposite the 5 cm side, to 1 decimal place.
- 22nd February 196715 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 23rd February 1967A histogram class is 4 units wide and contains 12 values. Work out the frequency density.
- 24th February 1967Work out (4 x 10^8) / (2 x 10^4). Give your answer in standard form.
- 25th February 1967A region is defined by y <= 5x + 1. Should the boundary line be solid or dashed, and why?
- 26th February 1967y is inversely proportional to x. When x = 3, y = 60. Work out y when x = 12.
- 27th February 1967The point (0, 3) is enlarged by scale factor -3 about the centre (3, 1). Write down the coordinates of the image.
- 28th February 19672 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.