Daily Practice · Higher
October 1959 5-a-day
Printing for a group?
The batch download puts all 5 tiers' October 1959 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in October 1959
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st October 1959A cone has base radius 3 cm and vertical height 6 cm. Work out its volume, leaving your answer in terms of pi.
- 2nd October 195923 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 3rd October 1959A box plot has minimum 13, lower quartile 18, median 24, upper quartile 30 and maximum 32. Work out the interquartile range.
- 4th October 1959Write the recurring decimal 0.111... as a fraction in its simplest form.
- 5th October 1959Make x the subject of y = 7x^2 - 8.
- 6th October 1959x : y = 4 : 9. Write y in terms of x.
- 7th October 1959In triangle ABC, angle A is 65°, angle B is 39° and side a is 11 cm. Use the sine rule to work out side b, to 1 decimal place.
- 8th October 19591 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 9th October 1959A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 10th October 1959Work out 36^(3/2).
- 11th October 1959Factorise x^2 - 100.
- 12th October 1959A price rises by 10% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 13th October 1959A right-angled triangle has sides 6 cm, 8 cm and 10 cm. Work out the angle opposite the 6 cm side, to 1 decimal place.
- 14th October 195919 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 15th October 1959A histogram class is 4 units wide and contains 6 values. Work out the frequency density.
- 16th October 1959Write sqrt(50) in the form a sqrt(b), where b is as small as possible.
- 17th October 1959A region is defined by y <= 4x - 8. Should the boundary line be solid or dashed, and why?
- 18th October 1959y is inversely proportional to x. When x = 8, y = 2. Work out y when x = 2.
- 19th October 1959The point (1, 3) is enlarged by scale factor -1 about the centre (4, 3). Write down the coordinates of the image.
- 20th October 19591 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 21st October 1959Four classes in order have frequencies 8, 12, 10, 6. Write down the cumulative frequency at the end of the third class.
- 22nd October 1959A meal deal has 5 mains, 7 sides and 3 drinks. How many different meals are possible?
- 23rd October 1959Factorise x^2 - x - 12.
- 24th October 1959y is directly proportional to x^2. When x = 3, y = 54. Work out y when x = 4.
- 25th October 1959Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 72 cm^3. Work out the volume of the smaller.
- 26th October 195912 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 27th October 195915 fish are marked and released. Later 54 are caught, of which 9 are marked. Estimate the population.
- 28th October 1959A mass is 540 kg, correct to the nearest 10. Write down the lower bound.
- 29th October 1959Work out the equation of the line parallel to y = 2x - 9 that passes through (5, 18).
- 30th October 1959y is directly proportional to x. When x = 9, y = 99. Work out y when x = 7.
- 31st October 1959A right-angled triangle has a hypotenuse of 13 cm and one shorter side of 12 cm. Work out the other shorter side.