Daily Practice · Higher
January 1964 5-a-day
Printing for a group?
The batch download puts all 5 tiers' January 1964 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in January 1964
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st January 1964A block has volume 165 cm^3 and density 11 g/cm^3. Work out its mass.
- 2nd January 1964The point (1, -6) is enlarged by scale factor -2 about the centre (-1, 0). Write down the coordinates of the image.
- 3rd January 19641 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 4th January 1964A box plot has minimum 7, lower quartile 11, median 13, upper quartile 16 and maximum 24. Work out the interquartile range.
- 5th January 1964Work out (8 x 10^8) x (4 x 10^5). Give your answer in standard form.
- 6th January 1964Factorise x^2 - 2x + 1.
- 7th January 1964x : y = 4 : 7. Write y in terms of x.
- 8th January 1964Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 1280 cm^3. Work out the volume of the smaller.
- 9th January 196420 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 10th January 1964A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 11th January 1964Write the recurring decimal 0.5858... as a fraction in its simplest form.
- 12th January 1964Work out the equation of the line parallel to y = x - 2 that passes through (2, -6).
- 13th January 1964A price rises by 10% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 14th January 1964A right-angled triangle has a hypotenuse of 13 cm and one shorter side of 12 cm. Work out the other shorter side.
- 15th January 19641 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 16th January 1964A histogram class is 20 units wide and contains 30 values. Work out the frequency density.
- 17th January 1964A bill is £840 including VAT at 20%. Work out the amount before VAT.
- 18th January 1964A line has equation y = -2x + 8. Work out the gradient of any line perpendicular to it.
- 19th January 1964y is inversely proportional to x. When x = 2, y = 3. Work out y when x = 3.
- 20th January 1964ABCD is a cyclic quadrilateral. Angle ABC is 73°. Work out angle ADC.
- 21st January 196417 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 22nd January 1964Four classes in order have frequencies 10, 5, 8, 5. Write down the cumulative frequency at the end of the third class.
- 23rd January 1964A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 24th January 1964For the curve y = 2/x, work out y when x = -2, and write down the equation of its vertical asymptote.
- 25th January 1964y is directly proportional to x^2. When x = 6, y = 252. Work out y when x = 4.
- 26th January 1964A, B and C are points on a circle with centre O. Angle AOC is 134°. Work out angle ABC, where B is on the major arc.
- 27th January 19644 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 28th January 196430 fish are marked and released. Later 20 are caught, of which 5 are marked. Estimate the population.
- 29th January 1964Work out (18 x 10^8) / (9 x 10^4). Give your answer in standard form.
- 30th January 1964Expand and simplify (x + 1)(x + 5)(x + 1).
- 31st January 1964y is directly proportional to x. When x = 5, y = 40. Work out y when x = 13.