Daily Practice · Higher
December 1958 5-a-day
Printing for a group?
The batch download puts all 5 tiers' December 1958 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in December 1958
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st December 1958A cumulative frequency graph is drawn for 112 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 2nd December 1958A mass is 3 kg, correct to 1 decimal place. Write down the lower bound.
- 3rd December 1958A line has equation y = 2x + 2. Work out the gradient of any line perpendicular to it.
- 4th December 1958A town's population is 19500 and grows by 8% each year. Work out the population after 6 years, to the nearest whole number.
- 5th December 1958ABCD is a cyclic quadrilateral. Angle ABC is 50°. Work out angle ADC.
- 6th December 195827 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 7th December 1958A box plot has a minimum of 13 and a maximum of 37. Work out the range.
- 8th December 1958Write 2^-3 as a fraction.
- 9th December 1958For the curve y = -100/x, work out y when x = 10, and write down the equation of its vertical asymptote.
- 10th December 1958A block has volume 170 cm^3 and density 8 g/cm^3. Work out its mass.
- 11th December 1958A, B and C are points on a circle with centre O. Angle AOC is 102°. Work out angle ABC, where B is on the major arc.
- 12th December 19582 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 13th December 1958A box plot has minimum 6, lower quartile 9, median 16, upper quartile 20 and maximum 25. Work out the interquartile range.
- 14th December 1958Work out (3 x 10^5) x (4 x 10^-3). Give your answer in standard form.
- 15th December 1958Expand and simplify (x - 2)(x + 1)(x + 4).
- 16th December 1958x : y = 2 : 5. Write y in terms of x.
- 17th December 1958A cone has base radius 10 cm and vertical height 3 cm. Work out its volume, leaving your answer in terms of pi.
- 18th December 195824 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 19th December 1958A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 20th December 1958Write the recurring decimal 0.6565... as a fraction in its simplest form.
- 21st December 1958Make x the subject of y = 5x^2 - 11.
- 22nd December 1958A price rises by 15% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 23rd December 1958In triangle ABC, angle A is 42°, angle B is 88° and side a is 17 cm. Use the sine rule to work out side b, to 1 decimal place.
- 24th December 19581 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 25th December 1958A histogram class is 20 units wide and contains 60 values. Work out the frequency density.
- 26th December 1958A bill is £288 including VAT at 20%. Work out the amount before VAT.
- 27th December 1958Factorise x^2 - 25.
- 28th December 1958y is inversely proportional to x. When x = 5, y = 30. Work out y when x = 10.
- 29th December 1958A 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.
- 30th December 19588 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 31st December 1958Four classes in order have frequencies 4, 6, 3, 5. Write down the cumulative frequency at the end of the third class.