Daily Practice · Higher
September 1961 5-a-day
Printing for a group?
The batch download puts all 5 tiers' September 1961 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in September 1961
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 1961y is directly proportional to x. When x = 2, y = 16. Work out y when x = 15.
- 2nd September 1961A right-angled triangle has a hypotenuse of 17 cm and one shorter side of 8 cm. Work out the other shorter side.
- 3rd September 19616 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 4th September 1961A cumulative frequency graph is drawn for 192 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 5th September 1961Write the recurring decimal 0.6767... as a fraction in its simplest form.
- 6th September 1961A line has equation y = 2x + 7. Work out the gradient of any line perpendicular to it.
- 7th September 1961A town's population is 40000 and grows by 3% each year. Work out the population after 2 years, to the nearest whole number.
- 8th September 1961ABCD is a cyclic quadrilateral. Angle ABC is 54°. Work out angle ADC.
- 9th September 196121 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 10th September 1961A box plot has a minimum of 16 and a maximum of 73. Work out the range.
- 11th September 1961A bill is £744 including VAT at 20%. Work out the amount before VAT.
- 12th September 1961For the curve y = -20/x, work out y when x = -10, and write down the equation of its vertical asymptote.
- 13th September 1961A block has volume 50 cm^3 and density 8 g/cm^3. Work out its mass.
- 14th September 1961A, B and C are points on a circle with centre O. Angle AOC is 72°. Work out angle ABC, where B is on the major arc.
- 15th September 19613 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 16th September 1961A box plot has minimum 1, lower quartile 6, median 16, upper quartile 20 and maximum 29. Work out the interquartile range.
- 17th September 1961A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 18th September 1961Expand and simplify (x + 3)(x + 4)(x + 2).
- 19th September 1961x : y = 2 : 5. Write y in terms of x.
- 20th September 1961A cone has base radius 2 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
- 21st September 196114 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 22nd September 1961A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 23rd September 1961Work out (16 x 10^12) / (2 x 10^3). Give your answer in standard form.
- 24th September 1961Make x the subject of y = 4x^2 - 11.
- 25th September 1961A price rises by 20% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 26th September 1961In triangle ABC, angle A is 67°, angle B is 52° and side a is 6 cm. Use the sine rule to work out side b, to 1 decimal place.
- 27th September 19612 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 28th September 1961A histogram class is 5 units wide and contains 10 values. Work out the frequency density.
- 29th September 1961Write the recurring decimal 0.333... as a fraction in its simplest form.
- 30th September 1961Factorise x^2 - 100.