Daily Practice · Higher
October 1960 5-a-day
Printing for a group?
The batch download puts all 5 tiers' October 1960 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in October 1960
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st October 1960A right-angled triangle has a hypotenuse of 41 cm and one shorter side of 9 cm. Work out the other shorter side.
- 2nd October 19602 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 3rd October 1960A cumulative frequency graph is drawn for 100 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 4th October 1960Work out (7 x 10^8) x (7 x 10^-6). Give your answer in standard form.
- 5th October 1960A line has equation y = -5x + 6. Work out the gradient of any line perpendicular to it.
- 6th October 1960A town's population is 26500 and grows by 6% each year. Work out the population after 3 years, to the nearest whole number.
- 7th October 1960ABCD is a cyclic quadrilateral. Angle ABC is 130°. Work out angle ADC.
- 8th October 196019 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 9th October 1960A box plot has a minimum of 10 and a maximum of 54. Work out the range.
- 10th October 1960Write the recurring decimal 0.7777... as a fraction in its simplest form.
- 11th October 1960For the curve y = 9/x, work out y when x = -1, and write down the equation of its vertical asymptote.
- 12th October 1960A block has volume 65 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 13th October 1960A, 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.
- 14th October 19603 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 15th October 1960A box plot has minimum 12, lower quartile 19, median 26, upper quartile 28 and maximum 35. Work out the interquartile range.
- 16th October 1960A bill is £792 including VAT at 20%. Work out the amount before VAT.
- 17th October 1960Expand and simplify (x + 3)(x - 3)(x + 1).
- 18th October 1960x : y = 4 : 7. Write y in terms of x.
- 19th October 1960A cone has base radius 6 cm and vertical height 12 cm. Work out its volume, leaving your answer in terms of pi.
- 20th October 196019 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 21st October 1960A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 22nd October 1960A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 23rd October 1960Make x the subject of y = 7x^2 - 12.
- 24th October 1960A price rises by 20% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 25th October 1960In triangle ABC, angle A is 48°, angle B is 32° and side a is 13 cm. Use the sine rule to work out side b, to 1 decimal place.
- 26th October 19605 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 27th October 1960A histogram class is 20 units wide and contains 50 values. Work out the frequency density.
- 28th October 1960Work out (54 x 10^8) / (6 x 10^3). Give your answer in standard form.
- 29th October 1960Factorise x^2 - 9.
- 30th October 1960y is inversely proportional to x. When x = 6, y = 18. Work out y when x = 3.
- 31st October 1960A right-angled triangle has sides 6 cm, 8 cm and 10 cm. Work out the angle opposite the 6 cm side, to 1 decimal place.