Daily Practice · Higher
February 1980 5-a-day
Printing for a group?
The batch download puts all 5 tiers' February 1980 sheets in a single PDF, each tier behind its own divider page - 145 sheets in one file.
Every sheet in February 1980
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 1980ABCD is a cyclic quadrilateral. Angle ABC is 86°. Work out angle ADC.
- 2nd February 198013 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 3rd February 1980A box plot has a minimum of 2 and a maximum of 25. Work out the range.
- 4th February 1980Work out (2 x 10^3) x (6 x 10^6). Give your answer in standard form.
- 5th February 1980For the curve y = 12/x, work out y when x = 2, and write down the equation of its vertical asymptote.
- 6th February 1980A block has volume 65 cm^3 and density 3 g/cm^3. Work out its mass.
- 7th February 1980A, B and C are points on a circle with centre O. Angle AOC is 150°. Work out angle ABC, where B is on the major arc.
- 8th February 19804 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 9th February 1980A box plot has minimum 13, lower quartile 15, median 20, upper quartile 24 and maximum 31. Work out the interquartile range.
- 10th February 1980Write the recurring decimal 0.6363... as a fraction in its simplest form.
- 11th February 1980Expand and simplify (x - 3)(x + 1)(x - 4).
- 12th February 1980x : y = 4 : 5. Write y in terms of x.
- 13th February 1980A cone has base radius 8 cm and vertical height 12 cm. Work out its volume, leaving your answer in terms of pi.
- 14th February 198021 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 15th February 1980A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 16th February 1980A bill is £864 including VAT at 20%. Work out the amount before VAT.
- 17th February 1980Make x the subject of y = 6x^2 - 10.
- 18th February 1980A price rises by 25% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 19th February 1980In triangle ABC, angle A is 46°, angle B is 53° and side a is 11 cm. Use the sine rule to work out side b, to 1 decimal place.
- 20th February 19802 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 21st February 1980A histogram class is 4 units wide and contains 10 values. Work out the frequency density.
- 22nd February 1980A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 23rd February 1980Factorise x^2 - 9.
- 24th February 1980y is inversely proportional to x. When x = 8, y = 60. Work out y when x = 12.
- 25th February 1980A 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.
- 26th February 198018 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 27th February 1980Four classes in order have frequencies 4, 11, 4, 9. Write down the cumulative frequency at the end of the third class.
- 28th February 1980Work out (8 x 10^11) / (2 x 10^3). Give your answer in standard form.
- 29th February 1980A region is defined by y < 4x - 5. Should the boundary line be solid or dashed, and why?