Daily Practice · Higher
September 1965 5-a-day
Printing for a group?
The batch download puts all 5 tiers' September 1965 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in September 1965
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 1965Four classes in order have frequencies 12, 3, 9, 11. Write down the cumulative frequency at the end of the third class.
- 2nd September 1965A bill is £768 including VAT at 20%. Work out the amount before VAT.
- 3rd September 1965Make x the subject of y = 4x^2 - 9.
- 4th September 1965y is directly proportional to x^2. When x = 3, y = 54. Work out y when x = 9.
- 5th September 1965In triangle ABC, angle A is 72°, angle B is 32° and side a is 13 cm. Use the sine rule to work out side b, to 1 decimal place.
- 6th September 19657 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 7th September 196560 beetles are marked and released. Later 9 are caught, of which 3 are marked. Estimate the population.
- 8th September 1965A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 9th September 1965Factorise x^2 - 144.
- 10th September 1965y is directly proportional to x. When x = 3, y = 27. Work out y when x = 4.
- 11th September 1965A right-angled triangle has sides 3 cm, 4 cm and 5 cm. Work out the angle opposite the 3 cm side, to 1 decimal place.
- 12th September 196522 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 13th September 1965A cumulative frequency graph is drawn for 92 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 14th September 1965Work out (36 x 10^8) / (9 x 10^3). Give your answer in standard form.
- 15th September 1965A region is defined by y < -2x + 6. Should the boundary line be solid or dashed, and why?
- 16th September 1965A town's population is 15000 and grows by 3% each year. Work out the population after 4 years, to the nearest whole number.
- 17th September 1965The point (1, -6) is enlarged by scale factor -3 about the centre (-1, 4). Write down the coordinates of the image.
- 18th September 19651 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 19th September 1965A box plot has a minimum of 7 and a maximum of 56. Work out the range.
- 20th September 1965Write the recurring decimal 0.777... as a fraction in its simplest form.
- 21st September 1965Factorise x^2 - 14x + 48.
- 22nd September 1965A block has volume 65 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 23rd September 1965Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 594 cm^3. Work out the volume of the smaller.
- 24th September 196515 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 25th September 1965A box plot has minimum 6, lower quartile 12, median 22, upper quartile 30 and maximum 40. Work out the interquartile range.
- 26th September 1965Work out 25^(3/2).
- 27th September 1965Work out the equation of the line parallel to y = -5x + 6 that passes through (4, -19).
- 28th September 1965x : y = 5 : 6. Write y in terms of x.
- 29th September 1965A right-angled triangle has a hypotenuse of 13 cm and one shorter side of 5 cm. Work out the other shorter side.
- 30th September 19658 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.