Daily Practice · Higher
October 1968 5-a-day
Printing for a group?
The batch download puts all 5 tiers' October 1968 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in October 1968
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st October 1968Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 1728 cm^3. Work out the volume of the smaller.
- 2nd October 196830 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 3rd October 1968A histogram class is 4 units wide and contains 2 values. Work out the frequency density.
- 4th October 1968A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 5th October 1968Work out the equation of the line parallel to y = -5x + 4 that passes through (5, -23).
- 6th October 1968y is inversely proportional to x. When x = 8, y = 50. Work out y when x = 10.
- 7th October 1968A right-angled triangle has a hypotenuse of 20 cm and one shorter side of 12 cm. Work out the other shorter side.
- 8th October 19686 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 9th October 1968Four classes in order have frequencies 7, 8, 3, 8. Write down the cumulative frequency at the end of the third class.
- 10th October 1968Work out (12 x 10^9) / (3 x 10^2). Give your answer in standard form.
- 11th October 1968A line has equation y = -3x + 9. Work out the gradient of any line perpendicular to it.
- 12th October 1968y is directly proportional to x^2. When x = 4, y = 144. Work out y when x = 5.
- 13th October 1968ABCD is a cyclic quadrilateral. Angle ABC is 82°. Work out angle ADC.
- 14th October 196818 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 15th October 196835 fish are marked and released. Later 48 are caught, of which 4 are marked. Estimate the population.
- 16th October 1968Write the recurring decimal 0.777... as a fraction in its simplest form.
- 17th October 1968For the curve y = -20/x, work out y when x = -10, and write down the equation of its vertical asymptote.
- 18th October 1968y is directly proportional to x. When x = 5, y = 50. Work out y when x = 2.
- 19th October 1968A, B and C are points on a circle with centre O. Angle AOC is 78°. Work out angle ABC, where B is on the major arc.
- 20th October 19685 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 21st October 1968A cumulative frequency graph is drawn for 128 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 22nd October 1968Work out 125^(2/3).
- 23rd October 1968Expand and simplify (x - 5)(x + 5)(x + 5).
- 24th October 1968A town's population is 30000 and grows by 4% each year. Work out the population after 2 years, to the nearest whole number.
- 25th October 1968A cone has base radius 2 cm and vertical height 12 cm. Work out its volume, leaving your answer in terms of pi.
- 26th October 196820 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 27th October 1968A box plot has a minimum of 16 and a maximum of 74. Work out the range.
- 28th October 1968Write sqrt(72) in the form a sqrt(b), where b is as small as possible.
- 29th October 1968Make x the subject of y = 7x^2 - 5.
- 30th October 1968A block has volume 65 cm^3 and density 8 g/cm^3. Work out its mass.
- 31st October 1968In triangle ABC, angle A is 52°, angle B is 64° and side a is 20 cm. Use the sine rule to work out side b, to 1 decimal place.