Daily Practice · Higher
September 1956 5-a-day
Printing for a group?
The batch download puts all 5 tiers' September 1956 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in September 1956
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 1956Work out (21 x 10^7) / (7 x 10^4). Give your answer in standard form.
- 2nd September 1956Work out the equation of the line parallel to y = 3x - 2 that passes through (5, 8).
- 3rd September 1956A price rises by 15% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 4th September 1956A right-angled triangle has a hypotenuse of 41 cm and one shorter side of 40 cm. Work out the other shorter side.
- 5th September 19561 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 6th September 1956A histogram class is 2 units wide and contains 3 values. Work out the frequency density.
- 7th September 1956Write the recurring decimal 0.333... as a fraction in its simplest form.
- 8th September 1956A line has equation y = 4x + 2. Work out the gradient of any line perpendicular to it.
- 9th September 1956y is inversely proportional to x. When x = 8, y = 10. Work out y when x = 2.
- 10th September 1956ABCD is a cyclic quadrilateral. Angle ABC is 58°. Work out angle ADC.
- 11th September 195621 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 12th September 1956Four classes in order have frequencies 6, 6, 11, 5. Write down the cumulative frequency at the end of the third class.
- 13th September 1956Work out 81^(3/2).
- 14th September 1956For the curve y = 20/x, work out y when x = -5, and write down the equation of its vertical asymptote.
- 15th September 1956y is directly proportional to x^2. When x = 5, y = 175. Work out y when x = 2.
- 16th September 1956A, B and C are points on a circle with centre O. Angle AOC is 170°. Work out angle ABC, where B is on the major arc.
- 17th September 19566 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 18th September 195645 newts are marked and released. Later 30 are caught, of which 5 are marked. Estimate the population.
- 19th September 1956Write sqrt(32) in the form a sqrt(b), where b is as small as possible.
- 20th September 1956Expand and simplify (x - 1)(x - 2)(x + 4).
- 21st September 1956y is directly proportional to x. When x = 8, y = 64. Work out y when x = 7.
- 22nd September 1956A cone has base radius 6 cm and vertical height 6 cm. Work out its volume, leaving your answer in terms of pi.
- 23rd September 195618 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 24th September 1956A cumulative frequency graph is drawn for 64 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 25th September 1956A meal deal has 8 mains, 5 sides and 2 drinks. How many different meals are possible?
- 26th September 1956Make x the subject of y = 5x^2 - 7.
- 27th September 1956A town's population is 26000 and grows by 3% each year. Work out the population after 6 years, to the nearest whole number.
- 28th September 1956In triangle ABC, angle A is 74°, angle B is 50° and side a is 10 cm. Use the sine rule to work out side b, to 1 decimal place.
- 29th September 19566 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 30th September 1956A box plot has a minimum of 19 and a maximum of 38. Work out the range.