Daily Practice · Higher
September 1971 5-a-day
Printing for a group?
The batch download puts all 5 tiers' September 1971 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in September 1971
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 1971Work out (15 x 10^11) / (3 x 10^5). Give your answer in standard form.
- 2nd September 1971A line has equation y = -2x + 1. Work out the gradient of any line perpendicular to it.
- 3rd September 1971y is directly proportional to x. When x = 7, y = 42. Work out y when x = 2.
- 4th September 1971ABCD is a cyclic quadrilateral. Angle ABC is 69°. Work out angle ADC.
- 5th September 197121 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 6th September 1971A cumulative frequency graph is drawn for 212 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 7th September 1971Write the recurring decimal 0.666... as a fraction in its simplest form.
- 8th September 1971For the curve y = -100/x, work out y when x = 10, and write down the equation of its vertical asymptote.
- 9th September 1971A town's population is 15000 and grows by 4% each year. Work out the population after 3 years, to the nearest whole number.
- 10th September 1971A, B and C are points on a circle with centre O. Angle AOC is 162°. Work out angle ABC, where B is on the major arc.
- 11th September 19712 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 12th September 1971A box plot has a minimum of 2 and a maximum of 45. Work out the range.
- 13th September 1971Work out 8^(2/3).
- 14th September 1971Expand and simplify (x + 4)(x + 1)(x - 1).
- 15th September 1971A block has volume 65 cm^3 and density 3 g/cm^3. Work out its mass.
- 16th September 1971A cone has base radius 5 cm and vertical height 21 cm. Work out its volume, leaving your answer in terms of pi.
- 17th September 197132 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 18th September 1971A box plot has minimum 3, lower quartile 8, median 18, upper quartile 25 and maximum 29. Work out the interquartile range.
- 19th September 1971Write sqrt(72) in the form a sqrt(b), where b is as small as possible.
- 20th September 1971Make x the subject of y = 9x^2 - 12.
- 21st September 1971x : y = 5 : 8. Write y in terms of x.
- 22nd September 1971In triangle ABC, angle A is 36°, angle B is 42° and side a is 17 cm. Use the sine rule to work out side b, to 1 decimal place.
- 23rd September 19714 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 24th September 1971A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 25th September 1971A meal deal has 9 mains, 7 sides and 6 drinks. How many different meals are possible?
- 26th September 1971Factorise x^2 - 100.
- 27th September 1971A price rises by 15% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 28th September 1971A right-angled triangle has sides 20 cm, 21 cm and 29 cm. Work out the angle opposite the 20 cm side, to 1 decimal place.
- 29th September 197126 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 30th September 1971A histogram class is 10 units wide and contains 30 values. Work out the frequency density.