Daily Practice · Higher
October 1958 5-a-day
Printing for a group?
The batch download puts all 5 tiers' October 1958 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in October 1958
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st October 19584 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 2nd October 1958A histogram class is 2 units wide and contains 1 values. Work out the frequency density.
- 3rd October 1958Write 4^-3 as a fraction.
- 4th October 1958Factorise x^2 + 14x + 48.
- 5th October 1958y is inversely proportional to x. When x = 7, y = 20. Work out y when x = 4.
- 6th October 1958Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 270 cm^3. Work out the volume of the smaller.
- 7th October 195812 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 8th October 1958Four classes in order have frequencies 8, 8, 6, 9. Write down the cumulative frequency at the end of the third class.
- 9th October 1958Work out (5 x 10^4) x (6 x 10^-6). Give your answer in standard form.
- 10th October 1958Work out the equation of the line parallel to y = -2x - 2 that passes through (2, -10).
- 11th October 1958y is directly proportional to x^2. When x = 5, y = 125. Work out y when x = 6.
- 12th October 1958A right-angled triangle has a hypotenuse of 10 cm and one shorter side of 6 cm. Work out the other shorter side.
- 13th October 19582 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 14th October 195840 beetles are marked and released. Later 42 are caught, of which 6 are marked. Estimate the population.
- 15th October 1958Write the recurring decimal 0.8080... as a fraction in its simplest form.
- 16th October 1958A line has equation y = -3x + 6. Work out the gradient of any line perpendicular to it.
- 17th October 1958y is directly proportional to x. When x = 7, y = 84. Work out y when x = 15.
- 18th October 1958ABCD is a cyclic quadrilateral. Angle ABC is 103°. Work out angle ADC.
- 19th October 195817 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 20th October 1958A cumulative frequency graph is drawn for 208 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 21st October 1958A bill is £192 including VAT at 20%. Work out the amount before VAT.
- 22nd October 1958For the curve y = -20/x, work out y when x = -10, and write down the equation of its vertical asymptote.
- 23rd October 1958A town's population is 11000 and grows by 8% each year. Work out the population after 6 years, to the nearest whole number.
- 24th October 1958A, B and C are points on a circle with centre O. Angle AOC is 168°. Work out angle ABC, where B is on the major arc.
- 25th October 19583 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 26th October 1958A box plot has a minimum of 4 and a maximum of 40. Work out the range.
- 27th October 1958A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 28th October 1958Expand and simplify (x + 2)(x - 5)(x - 2).
- 29th October 1958A block has volume 40 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 30th October 1958A cone has base radius 10 cm and vertical height 18 cm. Work out its volume, leaving your answer in terms of pi.
- 31st October 195811 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.