Daily Practice · Higher
September 1958 5-a-day
Printing for a group?
The batch download puts all 5 tiers' September 1958 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in September 1958
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 195823 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 2nd September 195860 fish are marked and released. Later 72 are caught, of which 9 are marked. Estimate the population.
- 3rd September 1958Write the recurring decimal 0.333... as a fraction in its simplest form.
- 4th September 1958For the curve y = 55/x, work out y when x = -5, and write down the equation of its vertical asymptote.
- 5th September 1958y is directly proportional to x. When x = 5, y = 45. Work out y when x = 12.
- 6th September 1958A, B and C are points on a circle with centre O. Angle AOC is 42°. Work out angle ABC, where B is on the major arc.
- 7th September 19581 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 8th September 1958A cumulative frequency graph is drawn for 80 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 9th September 1958Work out 216^(2/3).
- 10th September 1958Expand and simplify (x - 4)(x + 1)(x - 3).
- 11th September 1958A town's population is 23500 and grows by 5% each year. Work out the population after 6 years, to the nearest whole number.
- 12th September 1958A cone has base radius 4 cm and vertical height 12 cm. Work out its volume, leaving your answer in terms of pi.
- 13th September 195813 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 14th September 1958A box plot has a minimum of 8 and a maximum of 53. Work out the range.
- 15th September 1958Write sqrt(98) in the form a sqrt(b), where b is as small as possible.
- 16th September 1958Make x the subject of y = 9x^2 - 10.
- 17th September 1958A block has volume 85 cm^3 and density 4 g/cm^3. Work out its mass.
- 18th September 1958In triangle ABC, angle A is 75°, angle B is 70° and side a is 15 cm. Use the sine rule to work out side b, to 1 decimal place.
- 19th September 19585 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 20th September 1958A box plot has minimum 4, lower quartile 12, median 20, upper quartile 26 and maximum 29. Work out the interquartile range.
- 21st September 1958A meal deal has 9 mains, 9 sides and 6 drinks. How many different meals are possible?
- 22nd September 1958Factorise x^2 - 9.
- 23rd September 1958x : y = 3 : 4. Write y in terms of x.
- 24th September 1958A right-angled triangle has sides 12 cm, 16 cm and 20 cm. Work out the angle opposite the 12 cm side, to 1 decimal place.
- 25th September 195814 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 26th September 1958A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 27th September 1958A mass is 220 kg, correct to the nearest 10. Write down the upper bound.
- 28th September 1958A region is defined by y <= 2x - 1. Should the boundary line be solid or dashed, and why?
- 29th September 1958A price rises by 20% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 30th September 1958The point (5, 1) is enlarged by scale factor -1 about the centre (-2, 1). Write down the coordinates of the image.