Daily Practice · Higher
September 1970 5-a-day
Printing for a group?
The batch download puts all 5 tiers' September 1970 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in September 1970
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 1970Make x the subject of y = 9x^2 - 9.
- 2nd September 1970A block has volume 45 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 3rd September 1970In triangle ABC, angle A is 47°, angle B is 99° and side a is 8 cm. Use the sine rule to work out side b, to 1 decimal place.
- 4th September 19702 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 5th September 1970A box plot has minimum 15, lower quartile 25, median 29, upper quartile 31 and maximum 33. Work out the interquartile range.
- 6th September 1970Write 7^-2 as a fraction.
- 7th September 1970Factorise x^2 - 25.
- 8th September 1970x : y = 4 : 7. Write y in terms of x.
- 9th September 1970A right-angled triangle has sides 7 cm, 24 cm and 25 cm. Work out the angle opposite the 7 cm side, to 1 decimal place.
- 10th September 197015 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 11th September 1970A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 12th September 1970Work out (9 x 10^4) x (5 x 10^-2). Give your answer in standard form.
- 13th September 1970A region is defined by y < -x + 9. Should the boundary line be solid or dashed, and why?
- 14th September 1970A price rises by 15% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 15th September 1970The point (-2, 5) is enlarged by scale factor -3 about the centre (-3, -4). Write down the coordinates of the image.
- 16th September 19708 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 17th September 1970A histogram class is 4 units wide and contains 16 values. Work out the frequency density.
- 18th September 1970Write the recurring decimal 0.1212... as a fraction in its simplest form.
- 19th September 1970Factorise x^2 + 5x + 6.
- 20th September 1970y is inversely proportional to x. When x = 3, y = 10. Work out y when x = 2.
- 21st September 1970Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 296 cm^3. Work out the volume of the smaller.
- 22nd September 197024 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 23rd September 1970Four classes in order have frequencies 7, 4, 7, 12. Write down the cumulative frequency at the end of the third class.
- 24th September 1970A bill is £240 including VAT at 20%. Work out the amount before VAT.
- 25th September 1970Work out the equation of the line parallel to y = x - 5 that passes through (2, -10).
- 26th September 1970y is directly proportional to x^2. When x = 5, y = 50. Work out y when x = 2.
- 27th September 1970A right-angled triangle has a hypotenuse of 25 cm and one shorter side of 7 cm. Work out the other shorter side.
- 28th September 19703 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 29th September 197045 beetles are marked and released. Later 24 are caught, of which 8 are marked. Estimate the population.
- 30th September 1970A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?