Daily Practice · Higher
September 1964 5-a-day
Printing for a group?
The batch download puts all 5 tiers' September 1964 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in September 1964
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 1964Write sqrt(98) in the form a sqrt(b), where b is as small as possible.
- 2nd September 1964Factorise x^2 + x - 42.
- 3rd September 1964A town's population is 31000 and grows by 5% each year. Work out the population after 2 years, to the nearest whole number.
- 4th September 1964Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 2496 cm^3. Work out the volume of the smaller.
- 5th September 196414 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 6th September 1964A box plot has a minimum of 8 and a maximum of 32. Work out the range.
- 7th September 1964A meal deal has 6 mains, 6 sides and 6 drinks. How many different meals are possible?
- 8th September 1964Work out the equation of the line parallel to y = x - 1 that passes through (1, -1).
- 9th September 1964A block has volume 50 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 10th September 1964A right-angled triangle has a hypotenuse of 15 cm and one shorter side of 9 cm. Work out the other shorter side.
- 11th September 19645 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 12th September 1964A box plot has minimum 2, lower quartile 6, median 15, upper quartile 22 and maximum 31. Work out the interquartile range.
- 13th September 1964A mass is 15.4 kg, correct to 1 decimal place. Write down the upper bound.
- 14th September 1964A line has equation y = -2x + 4. Work out the gradient of any line perpendicular to it.
- 15th September 1964x : y = 3 : 7. Write y in terms of x.
- 16th September 1964ABCD is a cyclic quadrilateral. Angle ABC is 67°. Work out angle ADC.
- 17th September 196412 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 18th September 1964A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 19th September 1964Write 9^-2 as a fraction.
- 20th September 1964For the curve y = -20/x, work out y when x = 5, and write down the equation of its vertical asymptote.
- 21st September 1964A price rises by 15% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 22nd September 1964A, B and C are points on a circle with centre O. Angle AOC is 156°. Work out angle ABC, where B is on the major arc.
- 23rd September 19644 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 24th September 1964A histogram class is 2 units wide and contains 1 values. Work out the frequency density.
- 25th September 1964Work out (8 x 10^7) x (4 x 10^-5). Give your answer in standard form.
- 26th September 1964Expand and simplify (x + 4)(x - 3)(x + 5).
- 27th September 1964y is inversely proportional to x. When x = 9, y = 6. Work out y when x = 3.
- 28th September 1964A cone has base radius 4 cm and vertical height 21 cm. Work out its volume, leaving your answer in terms of pi.
- 29th September 196420 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 30th September 1964Four classes in order have frequencies 12, 7, 3, 10. Write down the cumulative frequency at the end of the third class.