Daily Practice · Higher
August 1966 5-a-day
Printing for a group?
The batch download puts all 5 tiers' August 1966 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in August 1966
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 1966A cone has base radius 5 cm and vertical height 6 cm. Work out its volume, leaving your answer in terms of pi.
- 2nd August 196623 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 3rd August 1966Four classes in order have frequencies 10, 5, 5, 4. Write down the cumulative frequency at the end of the third class.
- 4th August 1966A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 5th August 1966Make x the subject of y = 3x^2 - 10.
- 6th August 1966y is directly proportional to x^2. When x = 5, y = 50. Work out y when x = 3.
- 7th August 1966In triangle ABC, angle A is 66°, angle B is 55° and side a is 7 cm. Use the sine rule to work out side b, to 1 decimal place.
- 8th August 19663 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 9th August 196610 newts are marked and released. Later 16 are caught, of which 4 are marked. Estimate the population.
- 10th August 1966Work out (20 x 10^12) / (5 x 10^4). Give your answer in standard form.
- 11th August 1966Factorise x^2 - 49.
- 12th August 1966y is directly proportional to x. When x = 3, y = 30. Work out y when x = 10.
- 13th August 1966A right-angled triangle has sides 3 cm, 4 cm and 5 cm. Work out the angle opposite the 3 cm side, to 1 decimal place.
- 14th August 196619 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 15th August 1966A cumulative frequency graph is drawn for 188 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 16th August 1966Write the recurring decimal 0.444... as a fraction in its simplest form.
- 17th August 1966A region is defined by y <= 5x + 1. Should the boundary line be solid or dashed, and why?
- 18th August 1966A town's population is 27000 and grows by 3% each year. Work out the population after 5 years, to the nearest whole number.
- 19th August 1966The point (-1, -4) is enlarged by scale factor -1 about the centre (-1, -3). Write down the coordinates of the image.
- 20th August 19661 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 21st August 1966A box plot has a minimum of 3 and a maximum of 15. Work out the range.
- 22nd August 1966Work out 100^(3/2).
- 23rd August 1966Factorise x^2 + 14x + 49.
- 24th August 1966A block has volume 155 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 25th August 1966Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 576 cm^3. Work out the volume of the smaller.
- 26th August 196622 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 27th August 1966A box plot has minimum 13, lower quartile 15, median 18, upper quartile 26 and maximum 28. Work out the interquartile range.
- 28th August 1966Write sqrt(27) in the form a sqrt(b), where b is as small as possible.
- 29th August 1966Work out the equation of the line parallel to y = 5x + 3 that passes through (1, 13).
- 30th August 1966x : y = 4 : 5. Write y in terms of x.
- 31st August 1966A right-angled triangle has a hypotenuse of 41 cm and one shorter side of 9 cm. Work out the other shorter side.