Daily Practice · Higher
January 1959 5-a-day
Printing for a group?
The batch download puts all 5 tiers' January 1959 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in January 1959
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st January 1959A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 2nd January 1959A region is defined by y <= -4x + 4. Should the boundary line be solid or dashed, and why?
- 3rd January 1959y is directly proportional to x^2. When x = 6, y = 180. Work out y when x = 9.
- 4th January 1959The point (-3, -3) is enlarged by scale factor -2 about the centre (4, 2). Write down the coordinates of the image.
- 5th January 19595 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 6th January 195940 voles are marked and released. Later 60 are caught, of which 5 are marked. Estimate the population.
- 7th January 1959Work out (36 x 10^12) / (4 x 10^5). Give your answer in standard form.
- 8th January 1959Factorise x^2 + 12x + 32.
- 9th January 1959y is directly proportional to x. When x = 4, y = 32. Work out y when x = 10.
- 10th January 1959Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 240 cm^3. Work out the volume of the smaller.
- 11th January 195911 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 12th January 1959A cumulative frequency graph is drawn for 80 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 13th January 1959Write the recurring decimal 0.222... as a fraction in its simplest form.
- 14th January 1959Work out the equation of the line parallel to y = 5x + 7 that passes through (5, 22).
- 15th January 1959A town's population is 30000 and grows by 8% each year. Work out the population after 4 years, to the nearest whole number.
- 16th January 1959A right-angled triangle has a hypotenuse of 29 cm and one shorter side of 21 cm. Work out the other shorter side.
- 17th January 19593 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 18th January 1959A box plot has a minimum of 20 and a maximum of 60. Work out the range.
- 19th January 1959Work out 100^(3/2).
- 20th January 1959A line has equation y = -5x + 8. Work out the gradient of any line perpendicular to it.
- 21st January 1959A block has volume 70 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 22nd January 1959ABCD is a cyclic quadrilateral. Angle ABC is 83°. Work out angle ADC.
- 23rd January 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.
- 24th January 1959A box plot has minimum 9, lower quartile 13, median 20, upper quartile 26 and maximum 31. Work out the interquartile range.
- 25th January 1959Write sqrt(8) in the form a sqrt(b), where b is as small as possible.
- 26th January 1959For the curve y = 20/x, work out y when x = -5, and write down the equation of its vertical asymptote.
- 27th January 1959x : y = 3 : 4. Write y in terms of x.
- 28th January 1959A, B and C are points on a circle with centre O. Angle AOC is 60°. Work out angle ABC, where B is on the major arc.
- 29th January 19595 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 30th January 1959A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 31st January 1959A meal deal has 3 mains, 9 sides and 4 drinks. How many different meals are possible?