Daily Practice · Higher
September 1959 5-a-day
Printing for a group?
The batch download puts all 5 tiers' September 1959 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in September 1959
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 1959The point (3, -6) is enlarged by scale factor -1 about the centre (3, -3). Write down the coordinates of the image.
- 2nd September 19592 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 3rd September 1959A histogram class is 20 units wide and contains 60 values. Work out the frequency density.
- 4th September 1959Work out (2 x 10^8) x (2 x 10^6). Give your answer in standard form.
- 5th September 1959Factorise x^2 + 3x - 18.
- 6th September 1959y is inversely proportional to x. When x = 6, y = 20. Work out y when x = 10.
- 7th September 1959Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 972 cm^3. Work out the volume of the smaller.
- 8th September 195915 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 9th September 1959Four classes in order have frequencies 10, 9, 10, 9. Write down the cumulative frequency at the end of the third class.
- 10th September 1959Write the recurring decimal 0.9595... as a fraction in its simplest form.
- 11th September 1959Work out the equation of the line parallel to y = 5x - 5 that passes through (6, 37).
- 12th September 1959y is directly proportional to x^2. When x = 5, y = 125. Work out y when x = 9.
- 13th September 1959A right-angled triangle has a hypotenuse of 25 cm and one shorter side of 24 cm. Work out the other shorter side.
- 14th September 19591 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 15th September 195935 beetles are marked and released. Later 56 are caught, of which 7 are marked. Estimate the population.
- 16th September 1959A bill is £480 including VAT at 20%. Work out the amount before VAT.
- 17th September 1959A line has equation y = 5x + 9. Work out the gradient of any line perpendicular to it.
- 18th September 1959y is directly proportional to x. When x = 6, y = 72. Work out y when x = 8.
- 19th September 1959ABCD is a cyclic quadrilateral. Angle ABC is 54°. Work out angle ADC.
- 20th September 195918 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 21st September 1959A cumulative frequency graph is drawn for 140 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 22nd September 1959A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 23rd September 1959For the curve y = 32/x, work out y when x = 4, and write down the equation of its vertical asymptote.
- 24th September 1959A town's population is 29500 and grows by 3% each year. Work out the population after 4 years, to the nearest whole number.
- 25th September 1959A, B and C are points on a circle with centre O. Angle AOC is 44°. Work out angle ABC, where B is on the major arc.
- 26th September 19593 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 27th September 1959A box plot has a minimum of 6 and a maximum of 61. Work out the range.
- 28th September 1959Work out (49 x 10^10) / (7 x 10^4). Give your answer in standard form.
- 29th September 1959Expand and simplify (x + 4)(x - 3)(x + 2).
- 30th September 1959A block has volume 30 cm^3 and density 3 g/cm^3. Work out its mass.