Daily Practice · Higher
October 1965 5-a-day
Printing for a group?
The batch download puts all 5 tiers' October 1965 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in October 1965
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st October 1965A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 2nd October 1965Write sqrt(75) in the form a sqrt(b), where b is as small as possible.
- 3rd October 1965A line has equation y = 2x + 7. Work out the gradient of any line perpendicular to it.
- 4th October 1965A price rises by 20% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 5th October 1965ABCD is a cyclic quadrilateral. Angle ABC is 102°. Work out angle ADC.
- 6th October 196520 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 7th October 1965A histogram class is 5 units wide and contains 12.5 values. Work out the frequency density.
- 8th October 1965A meal deal has 5 mains, 5 sides and 5 drinks. How many different meals are possible?
- 9th October 1965For the curve y = -12/x, work out y when x = 1, and write down the equation of its vertical asymptote.
- 10th October 1965y is inversely proportional to x. When x = 2, y = 10. Work out y when x = 10.
- 11th October 1965A, B and C are points on a circle with centre O. Angle AOC is 104°. Work out angle ABC, where B is on the major arc.
- 12th October 19651 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 13th October 1965Four classes in order have frequencies 12, 8, 3, 9. Write down the cumulative frequency at the end of the third class.
- 14th October 1965A mass is 18.3 kg, correct to 1 decimal place. Write down the upper bound.
- 15th October 1965Expand and simplify (x + 4)(x + 3)(x + 5).
- 16th October 1965y is directly proportional to x^2. When x = 5, y = 75. Work out y when x = 6.
- 17th October 1965A cone has base radius 4 cm and vertical height 6 cm. Work out its volume, leaving your answer in terms of pi.
- 18th October 196524 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 19th October 196530 beetles are marked and released. Later 24 are caught, of which 4 are marked. Estimate the population.
- 20th October 1965Write 4^-2 as a fraction.
- 21st October 1965Make x the subject of y = 3x^2 - 3.
- 22nd October 1965y is directly proportional to x. When x = 2, y = 18. Work out y when x = 12.
- 23rd October 1965In triangle ABC, angle A is 77°, angle B is 71° and side a is 17 cm. Use the sine rule to work out side b, to 1 decimal place.
- 24th October 19652 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 25th October 1965A cumulative frequency graph is drawn for 136 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 26th October 1965Work out (7 x 10^5) x (9 x 10^2). Give your answer in standard form.
- 27th October 1965Factorise x^2 - 49.
- 28th October 1965A town's population is 29000 and grows by 6% each year. Work out the population after 5 years, to the nearest whole number.
- 29th October 1965A right-angled triangle has sides 10 cm, 24 cm and 26 cm. Work out the angle opposite the 10 cm side, to 1 decimal place.
- 30th October 196518 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 31st October 1965A box plot has a minimum of 4 and a maximum of 45. Work out the range.