Daily Practice · Higher
November 1975 5-a-day
Printing for a group?
The batch download puts all 5 tiers' November 1975 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 1975
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 19752 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 2nd November 1975A box plot has a minimum of 6 and a maximum of 64. Work out the range.
- 3rd November 1975Write the recurring decimal 0.555... as a fraction in its simplest form.
- 4th November 1975Factorise x^2 - x - 72.
- 5th November 1975A block has volume 95 cm^3 and density 11 g/cm^3. Work out its mass.
- 6th November 1975Two 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.
- 7th November 197517 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 8th November 1975A box plot has minimum 7, lower quartile 15, median 25, upper quartile 35 and maximum 42. Work out the interquartile range.
- 9th November 1975Work out 8^(2/3).
- 10th November 1975Work out the equation of the line parallel to y = x - 6 that passes through (3, 0).
- 11th November 1975x : y = 7 : 9. Write y in terms of x.
- 12th November 1975A right-angled triangle has a hypotenuse of 5 cm and one shorter side of 4 cm. Work out the other shorter side.
- 13th November 19751 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 14th November 1975A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 15th November 1975Write sqrt(48) in the form a sqrt(b), where b is as small as possible.
- 16th November 1975A line has equation y = 4x + 3. Work out the gradient of any line perpendicular to it.
- 17th November 1975A price rises by 10% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 18th November 1975ABCD is a cyclic quadrilateral. Angle ABC is 51°. Work out angle ADC.
- 19th November 197520 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 20th November 1975A histogram class is 20 units wide and contains 30 values. Work out the frequency density.
- 21st November 1975A meal deal has 8 mains, 6 sides and 5 drinks. How many different meals are possible?
- 22nd November 1975For the curve y = -48/x, work out y when x = 4, and write down the equation of its vertical asymptote.
- 23rd November 1975y is inversely proportional to x. When x = 2, y = 5. Work out y when x = 5.
- 24th November 1975A, B and C are points on a circle with centre O. Angle AOC is 68°. Work out angle ABC, where B is on the major arc.
- 25th November 19754 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 26th November 1975Four classes in order have frequencies 8, 3, 3, 7. Write down the cumulative frequency at the end of the third class.
- 27th November 1975A mass is 140 kg, correct to the nearest 10. Write down the upper bound.
- 28th November 1975Expand and simplify (x + 1)(x + 1)(x - 5).
- 29th November 1975y is directly proportional to x^2. When x = 5, y = 175. Work out y when x = 9.
- 30th November 1975A cone has base radius 4 cm and vertical height 12 cm. Work out its volume, leaving your answer in terms of pi.