Daily Practice · Higher
September 1962 5-a-day
Printing for a group?
The batch download puts all 5 tiers' September 1962 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in September 1962
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 1962Factorise x^2 - 16.
- 2nd September 1962y is inversely proportional to x. When x = 3, y = 10. Work out y when x = 10.
- 3rd September 1962A right-angled triangle has sides 9 cm, 12 cm and 15 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
- 4th September 196230 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 5th September 1962Four classes in order have frequencies 3, 7, 12, 5. Write down the cumulative frequency at the end of the third class.
- 6th September 1962Write sqrt(8) in the form a sqrt(b), where b is as small as possible.
- 7th September 1962A region is defined by y < -2x - 5. Should the boundary line be solid or dashed, and why?
- 8th September 1962y is directly proportional to x^2. When x = 6, y = 216. Work out y when x = 8.
- 9th September 1962The point (3, 4) is enlarged by scale factor -2 about the centre (-2, 4). Write down the coordinates of the image.
- 10th September 19623 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 11th September 196230 beetles are marked and released. Later 30 are caught, of which 3 are marked. Estimate the population.
- 12th September 1962A meal deal has 6 mains, 7 sides and 2 drinks. How many different meals are possible?
- 13th September 1962Factorise x^2 + x - 12.
- 14th September 1962y is directly proportional to x. When x = 9, y = 54. Work out y when x = 2.
- 15th September 1962Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 248 cm^3. Work out the volume of the smaller.
- 16th September 196229 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 17th September 1962A cumulative frequency graph is drawn for 44 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 18th September 1962A mass is 25 kg, correct to the nearest whole number. Write down the upper bound.
- 19th September 1962Work out the equation of the line parallel to y = -5x - 8 that passes through (4, -23).
- 20th September 1962A town's population is 24000 and grows by 3% each year. Work out the population after 5 years, to the nearest whole number.
- 21st September 1962A right-angled triangle has a hypotenuse of 41 cm and one shorter side of 40 cm. Work out the other shorter side.
- 22nd September 19624 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 23rd September 1962A box plot has a minimum of 3 and a maximum of 20. Work out the range.
- 24th September 1962Write 5^-1 as a fraction.
- 25th September 1962A line has equation y = -5x + 8. Work out the gradient of any line perpendicular to it.
- 26th September 1962A block has volume 10 cm^3 and density 8 g/cm^3. Work out its mass.
- 27th September 1962ABCD is a cyclic quadrilateral. Angle ABC is 98°. Work out angle ADC.
- 28th September 196225 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 29th September 1962A box plot has minimum 13, lower quartile 17, median 22, upper quartile 26 and maximum 36. Work out the interquartile range.
- 30th September 1962Work out (6 x 10^4) x (6 x 10^5). Give your answer in standard form.