Daily Practice · Higher
October 1961 5-a-day
Printing for a group?
The batch download puts all 5 tiers' October 1961 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in October 1961
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st October 1961y is inversely proportional to x. When x = 9, y = 18. Work out y when x = 6.
- 2nd October 1961A right-angled triangle has sides 7 cm, 24 cm and 25 cm. Work out the angle opposite the 7 cm side, to 1 decimal place.
- 3rd October 196125 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 4th October 1961Four classes in order have frequencies 11, 7, 6, 4. Write down the cumulative frequency at the end of the third class.
- 5th October 1961Work out 16^(3/2).
- 6th October 1961A region is defined by y < -x + 7. Should the boundary line be solid or dashed, and why?
- 7th October 1961y is directly proportional to x^2. When x = 2, y = 36. Work out y when x = 6.
- 8th October 1961The point (-6, 4) is enlarged by scale factor -1 about the centre (2, 2). Write down the coordinates of the image.
- 9th October 19611 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 10th October 196120 voles are marked and released. Later 24 are caught, of which 4 are marked. Estimate the population.
- 11th October 1961Write sqrt(50) in the form a sqrt(b), where b is as small as possible.
- 12th October 1961Factorise x^2 + 9x + 20.
- 13th October 1961y is directly proportional to x. When x = 7, y = 84. Work out y when x = 15.
- 14th October 1961Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 648 cm^3. Work out the volume of the smaller.
- 15th October 196122 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 16th October 1961A cumulative frequency graph is drawn for 148 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 17th October 1961A meal deal has 6 mains, 8 sides and 4 drinks. How many different meals are possible?
- 18th October 1961Work out the equation of the line parallel to y = 2x + 9 that passes through (4, -1).
- 19th October 1961A town's population is 21000 and grows by 4% each year. Work out the population after 5 years, to the nearest whole number.
- 20th October 1961A right-angled triangle has a hypotenuse of 17 cm and one shorter side of 15 cm. Work out the other shorter side.
- 21st October 19612 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 22nd October 1961A box plot has a minimum of 17 and a maximum of 35. Work out the range.
- 23rd October 1961A mass is 10 kg, correct to 1 decimal place. Write down the upper bound.
- 24th October 1961A line has equation y = -4x + 7. Work out the gradient of any line perpendicular to it.
- 25th October 1961A block has volume 35 cm^3 and density 8 g/cm^3. Work out its mass.
- 26th October 1961ABCD is a cyclic quadrilateral. Angle ABC is 54°. Work out angle ADC.
- 27th October 196128 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 28th October 1961A box plot has minimum 6, lower quartile 16, median 20, upper quartile 24 and maximum 26. Work out the interquartile range.
- 29th October 1961Write 5^-2 as a fraction.
- 30th October 1961For the curve y = 30/x, work out y when x = -5, and write down the equation of its vertical asymptote.
- 31st October 1961x : y = 5 : 6. Write y in terms of x.