Daily Practice · Higher
October 1981 5-a-day
Printing for a group?
The batch download puts all 5 tiers' October 1981 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in October 1981
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st October 1981A histogram class is 20 units wide and contains 80 values. Work out the frequency density.
- 2nd October 1981A bill is £624 including VAT at 20%. Work out the amount before VAT.
- 3rd October 1981Factorise x^2 + 11x + 28.
- 4th October 1981y is inversely proportional to x. When x = 5, y = 12. Work out y when x = 3.
- 5th October 1981Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 1344 cm^3. Work out the volume of the smaller.
- 6th October 198120 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 7th October 1981Four classes in order have frequencies 10, 5, 3, 7. Write down the cumulative frequency at the end of the third class.
- 8th October 1981A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 9th October 1981Work out the equation of the line parallel to y = -2x + 1 that passes through (3, -16).
- 10th October 1981y is directly proportional to x^2. When x = 3, y = 54. Work out y when x = 7.
- 11th October 1981A right-angled triangle has a hypotenuse of 15 cm and one shorter side of 9 cm. Work out the other shorter side.
- 12th October 19813 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 13th October 198125 beetles are marked and released. Later 99 are caught, of which 9 are marked. Estimate the population.
- 14th October 1981Work out (16 x 10^10) / (4 x 10^2). Give your answer in standard form.
- 15th October 1981A line has equation y = -3x + 6. Work out the gradient of any line perpendicular to it.
- 16th October 1981y is directly proportional to x. When x = 2, y = 12. Work out y when x = 14.
- 17th October 1981ABCD is a cyclic quadrilateral. Angle ABC is 93°. Work out angle ADC.
- 18th October 198126 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 19th October 1981A cumulative frequency graph is drawn for 156 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 20th October 1981Write the recurring decimal 0.555... as a fraction in its simplest form.
- 21st October 1981For the curve y = -1/x, work out y when x = -1, and write down the equation of its vertical asymptote.
- 22nd October 1981A town's population is 4000 and grows by 4% each year. Work out the population after 2 years, to the nearest whole number.
- 23rd October 1981A, B and C are points on a circle with centre O. Angle AOC is 82°. Work out angle ABC, where B is on the major arc.
- 24th October 19813 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 25th October 1981A box plot has a minimum of 15 and a maximum of 39. Work out the range.
- 26th October 1981Work out 81^(3/2).
- 27th October 1981Expand and simplify (x - 2)(x + 4)(x + 2).
- 28th October 1981A block has volume 50 cm^3 and density 3 g/cm^3. Work out its mass.
- 29th October 1981A cone has base radius 4 cm and vertical height 6 cm. Work out its volume, leaving your answer in terms of pi.
- 30th October 198113 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 31st October 1981A box plot has minimum 9, lower quartile 18, median 22, upper quartile 32 and maximum 37. Work out the interquartile range.