Daily Practice · Higher
October 1970 5-a-day
Printing for a group?
The batch download puts all 5 tiers' October 1970 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in October 1970
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st October 1970A line has equation y = 5x + 5. Work out the gradient of any line perpendicular to it.
- 2nd October 1970y is directly proportional to x. When x = 8, y = 96. Work out y when x = 13.
- 3rd October 1970ABCD is a cyclic quadrilateral. Angle ABC is 112°. Work out angle ADC.
- 4th October 197024 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 5th October 1970A cumulative frequency graph is drawn for 92 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 6th October 1970Work out (35 x 10^7) / (7 x 10^3). Give your answer in standard form.
- 7th October 1970For the curve y = -3/x, work out y when x = 1, and write down the equation of its vertical asymptote.
- 8th October 1970A town's population is 18000 and grows by 3% each year. Work out the population after 4 years, to the nearest whole number.
- 9th October 1970A, B and C are points on a circle with centre O. Angle AOC is 78°. Work out angle ABC, where B is on the major arc.
- 10th October 19702 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 11th October 1970A box plot has a minimum of 5 and a maximum of 49. Work out the range.
- 12th October 1970Write the recurring decimal 0.666... as a fraction in its simplest form.
- 13th October 1970Expand and simplify (x - 4)(x - 5)(x - 3).
- 14th October 1970A block has volume 125 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 15th October 1970A cone has base radius 4 cm and vertical height 3 cm. Work out its volume, leaving your answer in terms of pi.
- 16th October 197021 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 17th October 1970A box plot has minimum 9, lower quartile 18, median 26, upper quartile 33 and maximum 41. Work out the interquartile range.
- 18th October 1970Work out 16^(3/2).
- 19th October 1970Make x the subject of y = 2x^2 - 6.
- 20th October 1970x : y = 2 : 9. Write y in terms of x.
- 21st October 1970In triangle ABC, angle A is 47°, angle B is 74° and side a is 12 cm. Use the sine rule to work out side b, to 1 decimal place.
- 22nd October 19705 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 23rd October 1970A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 24th October 1970Write sqrt(50) in the form a sqrt(b), where b is as small as possible.
- 25th October 1970Factorise x^2 - 81.
- 26th October 1970A price rises by 20% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 27th October 1970A right-angled triangle has sides 3 cm, 4 cm and 5 cm. Work out the angle opposite the 3 cm side, to 1 decimal place.
- 28th October 197017 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 29th October 1970A histogram class is 10 units wide and contains 5 values. Work out the frequency density.
- 30th October 1970A meal deal has 4 mains, 4 sides and 2 drinks. How many different meals are possible?
- 31st October 1970A region is defined by y < -2x + 4. Should the boundary line be solid or dashed, and why?