Daily Practice · Higher
January 1958 5-a-day
Printing for a group?
The batch download puts all 5 tiers' January 1958 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in January 1958
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st January 1958A line has equation y = 3x + 9. Work out the gradient of any line perpendicular to it.
- 2nd January 1958A town's population is 19000 and grows by 5% each year. Work out the population after 6 years, to the nearest whole number.
- 3rd January 1958ABCD is a cyclic quadrilateral. Angle ABC is 118°. Work out angle ADC.
- 4th January 195819 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 5th January 1958A box plot has a minimum of 10 and a maximum of 53. Work out the range.
- 6th January 1958A mass is 510 kg, correct to the nearest 10. Write down the upper bound.
- 7th January 1958For the curve y = -2/x, work out y when x = 1, and write down the equation of its vertical asymptote.
- 8th January 1958A block has volume 145 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 9th January 1958A, B and C are points on a circle with centre O. Angle AOC is 88°. Work out angle ABC, where B is on the major arc.
- 10th January 19582 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 11th January 1958A box plot has minimum 6, lower quartile 12, median 17, upper quartile 19 and maximum 23. Work out the interquartile range.
- 12th January 1958Write 2^-3 as a fraction.
- 13th January 1958Expand and simplify (x + 3)(x - 1)(x - 4).
- 14th January 1958x : y = 5 : 8. Write y in terms of x.
- 15th January 1958A cone has base radius 4 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
- 16th January 195818 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 17th January 1958A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 18th January 1958Work out (8 x 10^4) x (4 x 10^-3). Give your answer in standard form.
- 19th January 1958Make x the subject of y = 3x^2 - 2.
- 20th January 1958A price rises by 20% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 21st January 1958In triangle ABC, angle A is 58°, angle B is 34° and side a is 19 cm. Use the sine rule to work out side b, to 1 decimal place.
- 22nd January 19583 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 23rd January 1958A histogram class is 10 units wide and contains 40 values. Work out the frequency density.
- 24th January 1958Write the recurring decimal 0.4141... as a fraction in its simplest form.
- 25th January 1958Factorise x^2 - 144.
- 26th January 1958y is inversely proportional to x. When x = 8, y = 18. Work out y when x = 6.
- 27th January 1958A right-angled triangle has sides 9 cm, 12 cm and 15 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
- 28th January 195824 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 29th January 1958Four classes in order have frequencies 3, 6, 3, 12. Write down the cumulative frequency at the end of the third class.
- 30th January 1958A bill is £336 including VAT at 20%. Work out the amount before VAT.
- 31st January 1958A region is defined by y < x - 2. Should the boundary line be solid or dashed, and why?