Daily Practice · Higher
October 1966 5-a-day
Printing for a group?
The batch download puts all 5 tiers' October 1966 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in October 1966
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st October 196614 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 2nd October 1966A box plot has a minimum of 7 and a maximum of 34. Work out the range.
- 3rd October 1966A bill is £792 including VAT at 20%. Work out the amount before VAT.
- 4th October 1966A region is defined by y <= 2x + 5. Should the boundary line be solid or dashed, and why?
- 5th October 1966A block has volume 20 cm^3 and density 4 g/cm^3. Work out its mass.
- 6th October 1966The point (-4, 6) is enlarged by scale factor -2 about the centre (1, 3). Write down the coordinates of the image.
- 7th October 19662 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 8th October 1966A box plot has minimum 1, lower quartile 11, median 15, upper quartile 22 and maximum 25. Work out the interquartile range.
- 9th October 1966A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 10th October 1966Factorise x^2 + x - 72.
- 11th October 1966x : y = 3 : 8. Write y in terms of x.
- 12th October 1966Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 1026 cm^3. Work out the volume of the smaller.
- 13th October 196623 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 14th October 1966A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 15th October 1966Work out (16 x 10^7) / (2 x 10^4). Give your answer in standard form.
- 16th October 1966Work out the equation of the line parallel to y = -5x - 6 that passes through (2, -13).
- 17th October 1966A price rises by 25% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 18th October 1966A right-angled triangle has a hypotenuse of 25 cm and one shorter side of 24 cm. Work out the other shorter side.
- 19th October 19662 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 20th October 1966A histogram class is 10 units wide and contains 25 values. Work out the frequency density.
- 21st October 1966Write the recurring decimal 0.555... as a fraction in its simplest form.
- 22nd October 1966A line has equation y = 4x + 1. Work out the gradient of any line perpendicular to it.
- 23rd October 1966y is inversely proportional to x. When x = 8, y = 16. Work out y when x = 4.
- 24th October 1966ABCD is a cyclic quadrilateral. Angle ABC is 100°. Work out angle ADC.
- 25th October 196610 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 26th October 1966Four classes in order have frequencies 4, 12, 4, 5. Write down the cumulative frequency at the end of the third class.
- 27th October 1966Work out 49^(3/2).
- 28th October 1966For the curve y = -55/x, work out y when x = -5, and write down the equation of its vertical asymptote.
- 29th October 1966y is directly proportional to x^2. When x = 6, y = 288. Work out y when x = 2.
- 30th October 1966A, B and C are points on a circle with centre O. Angle AOC is 92°. Work out angle ABC, where B is on the major arc.
- 31st October 19664 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.