Daily Practice · Higher
August 1959 5-a-day
Printing for a group?
The batch download puts all 5 tiers' August 1959 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in August 1959
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 1959y is directly proportional to x^2. When x = 2, y = 12. Work out y when x = 3.
- 2nd August 1959ABCD is a cyclic quadrilateral. Angle ABC is 67°. Work out angle ADC.
- 3rd August 195925 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 4th August 195910 fish are marked and released. Later 36 are caught, of which 6 are marked. Estimate the population.
- 5th August 1959Work out 25^(3/2).
- 6th August 1959For the curve y = -20/x, work out y when x = 5, and write down the equation of its vertical asymptote.
- 7th August 1959y is directly proportional to x. When x = 7, y = 56. Work out y when x = 6.
- 8th August 1959A, B and C are points on a circle with centre O. Angle AOC is 106°. Work out angle ABC, where B is on the major arc.
- 9th August 19596 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 10th August 1959A cumulative frequency graph is drawn for 64 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 11th August 1959Write sqrt(20) in the form a sqrt(b), where b is as small as possible.
- 12th August 1959Expand and simplify (x - 5)(x - 5)(x - 2).
- 13th August 1959A town's population is 6000 and grows by 6% each year. Work out the population after 5 years, to the nearest whole number.
- 14th August 1959A cone has base radius 4 cm and vertical height 18 cm. Work out its volume, leaving your answer in terms of pi.
- 15th August 195910 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 16th August 1959A box plot has a minimum of 18 and a maximum of 38. Work out the range.
- 17th August 1959A meal deal has 5 mains, 6 sides and 4 drinks. How many different meals are possible?
- 18th August 1959Make x the subject of y = 2x^2 - 6.
- 19th August 1959A block has volume 35 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 20th August 1959In triangle ABC, angle A is 38°, angle B is 87° and side a is 13 cm. Use the sine rule to work out side b, to 1 decimal place.
- 21st August 19591 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 22nd August 1959A box plot has minimum 1, lower quartile 9, median 12, upper quartile 16 and maximum 19. Work out the interquartile range.
- 23rd August 1959A mass is 720 kg, correct to the nearest 10. Write down the lower bound.
- 24th August 1959Factorise x^2 - 49.
- 25th August 1959x : y = 7 : 9. Write y in terms of x.
- 26th August 1959A right-angled triangle has sides 8 cm, 15 cm and 17 cm. Work out the angle opposite the 8 cm side, to 1 decimal place.
- 27th August 195912 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 28th August 1959A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 29th August 1959Write 2^-3 as a fraction.
- 30th August 1959A region is defined by y < 2x + 6. Should the boundary line be solid or dashed, and why?
- 31st August 1959A price rises by 10% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.