Daily Practice · Higher
January 1981 5-a-day
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The batch download puts all 5 tiers' January 1981 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in January 1981
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st January 1981A town's population is 6000 and grows by 3% each year. Work out the population after 4 years, to the nearest whole number.
- 2nd January 1981ABCD is a cyclic quadrilateral. Angle ABC is 69°. Work out angle ADC.
- 3rd January 198119 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 4th January 1981A box plot has a minimum of 10 and a maximum of 57. Work out the range.
- 5th January 1981Write the recurring decimal 0.7979... as a fraction in its simplest form.
- 6th January 1981For the curve y = 44/x, work out y when x = -4, and write down the equation of its vertical asymptote.
- 7th January 1981A block has volume 20 cm^3 and density 8 g/cm^3. Work out its mass.
- 8th January 1981A, B and C are points on a circle with centre O. Angle AOC is 90°. Work out angle ABC, where B is on the major arc.
- 9th January 19817 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 10th January 1981A box plot has minimum 15, lower quartile 24, median 33, upper quartile 37 and maximum 40. Work out the interquartile range.
- 11th January 1981A bill is £696 including VAT at 20%. Work out the amount before VAT.
- 12th January 1981Expand and simplify (x - 4)(x + 5)(x + 2).
- 13th January 1981x : y = 5 : 9. Write y in terms of x.
- 14th January 1981A cone has base radius 5 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 15th January 198124 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 16th January 1981A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 17th January 1981A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 18th January 1981Make x the subject of y = 8x^2 - 12.
- 19th January 1981A price rises by 25% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 20th January 1981In triangle ABC, angle A is 36°, angle B is 102° and side a is 13 cm. Use the sine rule to work out side b, to 1 decimal place.
- 21st January 19812 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 22nd January 1981A histogram class is 10 units wide and contains 30 values. Work out the frequency density.
- 23rd January 1981Work out (20 x 10^9) / (4 x 10^3). Give your answer in standard form.
- 24th January 1981Factorise x^2 - 25.
- 25th January 1981y is inversely proportional to x. When x = 9, y = 4. Work out y when x = 4.
- 26th January 1981A 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.
- 27th January 198123 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 28th January 1981Four classes in order have frequencies 12, 4, 12, 11. Write down the cumulative frequency at the end of the third class.
- 29th January 1981Write the recurring decimal 0.444... as a fraction in its simplest form.
- 30th January 1981A region is defined by y <= 2x - 8. Should the boundary line be solid or dashed, and why?
- 31st January 1981y is directly proportional to x^2. When x = 4, y = 48. Work out y when x = 7.