Daily Practice · Higher
November 1957 5-a-day
Printing for a group?
The batch download puts all 5 tiers' November 1957 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 1957
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 1957A mass is 25.8 kg, correct to 1 decimal place. Write down the upper bound.
- 2nd November 1957Factorise x^2 + 11x + 24.
- 3rd November 1957y is inversely proportional to x. When x = 4, y = 24. Work out y when x = 6.
- 4th November 1957Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 264 cm^3. Work out the volume of the smaller.
- 5th November 195730 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 6th November 1957Four classes in order have frequencies 5, 11, 6, 12. Write down the cumulative frequency at the end of the third class.
- 7th November 1957Write 2^-1 as a fraction.
- 8th November 1957Work out the equation of the line parallel to y = -5x + 6 that passes through (3, -13).
- 9th November 1957y is directly proportional to x^2. When x = 5, y = 150. Work out y when x = 7.
- 10th November 1957A right-angled triangle has a hypotenuse of 29 cm and one shorter side of 21 cm. Work out the other shorter side.
- 11th November 19572 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 12th November 195755 fish are marked and released. Later 42 are caught, of which 7 are marked. Estimate the population.
- 13th November 1957Work out (8 x 10^4) x (9 x 10^-5). Give your answer in standard form.
- 14th November 1957A line has equation y = -2x + 6. Work out the gradient of any line perpendicular to it.
- 15th November 1957y is directly proportional to x. When x = 4, y = 40. Work out y when x = 9.
- 16th November 1957ABCD is a cyclic quadrilateral. Angle ABC is 121°. Work out angle ADC.
- 17th November 195714 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 18th November 1957A cumulative frequency graph is drawn for 188 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 19th November 1957Write the recurring decimal 0.4343... as a fraction in its simplest form.
- 20th November 1957For the curve y = 20/x, work out y when x = -2, and write down the equation of its vertical asymptote.
- 21st November 1957A town's population is 19000 and grows by 8% each year. Work out the population after 5 years, to the nearest whole number.
- 22nd November 1957A, B and C are points on a circle with centre O. Angle AOC is 104°. Work out angle ABC, where B is on the major arc.
- 23rd November 19574 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 24th November 1957A box plot has a minimum of 15 and a maximum of 49. Work out the range.
- 25th November 1957A bill is £864 including VAT at 20%. Work out the amount before VAT.
- 26th November 1957Expand and simplify (x + 5)(x + 3)(x - 3).
- 27th November 1957A block has volume 45 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 28th November 1957A cone has base radius 2 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 29th November 195725 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 30th November 1957A box plot has minimum 1, lower quartile 7, median 17, upper quartile 26 and maximum 36. Work out the interquartile range.