Daily Practice · Higher
October 1963 5-a-day
Printing for a group?
The batch download puts all 5 tiers' October 1963 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in October 1963
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st October 1963Work out 25^(3/2).
- 2nd October 1963Factorise x^2 - 6x - 7.
- 3rd October 1963A town's population is 29500 and grows by 3% each year. Work out the population after 5 years, to the nearest whole number.
- 4th October 1963Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 272 cm^3. Work out the volume of the smaller.
- 5th October 196325 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 6th October 1963A box plot has a minimum of 5 and a maximum of 50. Work out the range.
- 7th October 1963Write sqrt(32) in the form a sqrt(b), where b is as small as possible.
- 8th October 1963Work out the equation of the line parallel to y = -4x + 3 that passes through (5, -25).
- 9th October 1963A block has volume 195 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 10th October 1963A right-angled triangle has a hypotenuse of 20 cm and one shorter side of 16 cm. Work out the other shorter side.
- 11th October 19636 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 12th October 1963A box plot has minimum 13, lower quartile 16, median 26, upper quartile 36 and maximum 40. Work out the interquartile range.
- 13th October 1963A meal deal has 5 mains, 4 sides and 4 drinks. How many different meals are possible?
- 14th October 1963A line has equation y = -3x + 7. Work out the gradient of any line perpendicular to it.
- 15th October 1963x : y = 4 : 7. Write y in terms of x.
- 16th October 1963ABCD is a cyclic quadrilateral. Angle ABC is 80°. Work out angle ADC.
- 17th October 196320 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 18th October 1963A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 19th October 1963A mass is 600 kg, correct to the nearest 10. Write down the lower bound.
- 20th October 1963For the curve y = -16/x, work out y when x = -4, and write down the equation of its vertical asymptote.
- 21st October 1963A price rises by 20% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 22nd October 1963A, 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.
- 23rd October 19634 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 24th October 1963A histogram class is 2 units wide and contains 1 values. Work out the frequency density.
- 25th October 1963Write 4^-2 as a fraction.
- 26th October 1963Expand and simplify (x - 4)(x + 3)(x + 1).
- 27th October 1963y is inversely proportional to x. When x = 9, y = 12. Work out y when x = 2.
- 28th October 1963A cone has base radius 5 cm and vertical height 21 cm. Work out its volume, leaving your answer in terms of pi.
- 29th October 196317 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 30th October 1963Four classes in order have frequencies 11, 10, 3, 3. Write down the cumulative frequency at the end of the third class.
- 31st October 1963Work out (5 x 10^4) x (2 x 10^-6). Give your answer in standard form.