Daily Practice · Higher
November 1962 5-a-day
Printing for a group?
The batch download puts all 5 tiers' November 1962 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 1962
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 1962A town's population is 33000 and grows by 5% each year. Work out the population after 4 years, to the nearest whole number.
- 2nd November 1962Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 32 cm^3. Work out the volume of the smaller.
- 3rd November 196226 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 4th November 1962A box plot has a minimum of 4 and a maximum of 62. Work out the range.
- 5th November 1962Work out 81^(3/2).
- 6th November 1962Work out the equation of the line parallel to y = -x + 8 that passes through (2, -4).
- 7th November 1962A block has volume 125 cm^3 and density 3 g/cm^3. Work out its mass.
- 8th November 1962A right-angled triangle has a hypotenuse of 10 cm and one shorter side of 6 cm. Work out the other shorter side.
- 9th November 19623 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 10th November 1962A box plot has minimum 2, lower quartile 12, median 17, upper quartile 23 and maximum 27. Work out the interquartile range.
- 11th November 1962Write sqrt(27) in the form a sqrt(b), where b is as small as possible.
- 12th November 1962A line has equation y = -5x + 6. Work out the gradient of any line perpendicular to it.
- 13th November 1962x : y = 3 : 4. Write y in terms of x.
- 14th November 1962ABCD is a cyclic quadrilateral. Angle ABC is 101°. Work out angle ADC.
- 15th November 196219 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 16th November 1962A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 17th November 1962A meal deal has 8 mains, 6 sides and 3 drinks. How many different meals are possible?
- 18th November 1962For the curve y = 4/x, work out y when x = -1, and write down the equation of its vertical asymptote.
- 19th November 1962A price rises by 10% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 20th November 1962A, B and C are points on a circle with centre O. Angle AOC is 80°. Work out angle ABC, where B is on the major arc.
- 21st November 19626 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 22nd November 1962A histogram class is 10 units wide and contains 40 values. Work out the frequency density.
- 23rd November 1962A mass is 47 kg, correct to the nearest whole number. Write down the upper bound.
- 24th November 1962Expand and simplify (x + 5)(x - 1)(x + 4).
- 25th November 1962y is inversely proportional to x. When x = 5, y = 9. Work out y when x = 3.
- 26th November 1962A cone has base radius 9 cm and vertical height 21 cm. Work out its volume, leaving your answer in terms of pi.
- 27th November 196220 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 28th November 1962Four classes in order have frequencies 11, 5, 11, 12. Write down the cumulative frequency at the end of the third class.
- 29th November 1962Write 5^-3 as a fraction.
- 30th November 1962Make x the subject of y = 9x^2 - 4.