Daily Practice · Higher
December 1959 5-a-day
Printing for a group?
The batch download puts all 5 tiers' December 1959 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in December 1959
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st December 195924 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 2nd December 1959Four classes in order have frequencies 3, 3, 12, 6. Write down the cumulative frequency at the end of the third class.
- 3rd December 1959Work out (45 x 10^7) / (9 x 10^2). Give your answer in standard form.
- 4th December 1959A region is defined by y < 2x + 8. Should the boundary line be solid or dashed, and why?
- 5th December 1959y is directly proportional to x^2. When x = 5, y = 175. Work out y when x = 4.
- 6th December 1959The point (-5, -3) is enlarged by scale factor -3 about the centre (4, -1). Write down the coordinates of the image.
- 7th December 19595 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 8th December 195910 fish are marked and released. Later 24 are caught, of which 6 are marked. Estimate the population.
- 9th December 1959Write the recurring decimal 0.888... as a fraction in its simplest form.
- 10th December 1959Factorise x^2 - x - 30.
- 11th December 1959y is directly proportional to x. When x = 9, y = 72. Work out y when x = 12.
- 12th December 1959Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 2432 cm^3. Work out the volume of the smaller.
- 13th December 195925 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 14th December 1959A cumulative frequency graph is drawn for 216 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 15th December 1959Work out 81^(3/2).
- 16th December 1959Work out the equation of the line parallel to y = -2x + 7 that passes through (4, -17).
- 17th December 1959A town's population is 29500 and grows by 5% each year. Work out the population after 3 years, to the nearest whole number.
- 18th December 1959A right-angled triangle has a hypotenuse of 25 cm and one shorter side of 7 cm. Work out the other shorter side.
- 19th December 19591 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 20th December 1959A box plot has a minimum of 10 and a maximum of 50. Work out the range.
- 21st December 1959Write sqrt(98) in the form a sqrt(b), where b is as small as possible.
- 22nd December 1959A line has equation y = 4x + 7. Work out the gradient of any line perpendicular to it.
- 23rd December 1959A block has volume 170 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 24th December 1959ABCD is a cyclic quadrilateral. Angle ABC is 121°. Work out angle ADC.
- 25th December 195912 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 26th December 1959A box plot has minimum 8, lower quartile 11, median 21, upper quartile 30 and maximum 38. Work out the interquartile range.
- 27th December 1959A meal deal has 4 mains, 6 sides and 5 drinks. How many different meals are possible?
- 28th December 1959For the curve y = -30/x, work out y when x = -10, and write down the equation of its vertical asymptote.
- 29th December 1959x : y = 2 : 9. Write y in terms of x.
- 30th December 1959A, B and C are points on a circle with centre O. Angle AOC is 164°. Work out angle ABC, where B is on the major arc.
- 31st December 19592 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.