Daily Practice · Higher
March 1993 - Higher 5-a-day
Printing for a group?
The batch download puts all 5 tiers' March 1993 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 1993
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 199318 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 2nd March 199325 beetles are marked and released. Later 36 are caught, of which 6 are marked. Estimate the population.
- 3rd March 1993Work out (45 x 10^8) / (9 x 10^4). Give your answer in standard form.
- 4th March 1993A region is defined by y <= 3x - 3. Should the boundary line be solid or dashed, and why?
- 5th March 1993y is directly proportional to x. When x = 2, y = 8. Work out y when x = 5.
- 6th March 1993The point (-2, 6) is enlarged by scale factor -3 about the centre (3, 1). Write down the coordinates of the image.
- 7th March 19932 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 8th March 1993A cumulative frequency graph is drawn for 64 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 9th March 1993Write the recurring decimal 0.222... as a fraction in its simplest form.
- 10th March 1993Factorise x^2 + 4x + 4.
- 11th March 1993A town's population is 34500 and grows by 3% each year. Work out the population after 5 years, to the nearest whole number.
- 12th March 1993Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 972 cm^3. Work out the volume of the smaller.
- 13th March 199320 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 14th March 1993A box plot has a minimum of 15 and a maximum of 26. Work out the range.
- 15th March 1993Work out 125^(2/3).
- 16th March 1993Work out the equation of the line parallel to y = 2x + 6 that passes through (6, 2).
- 17th March 1993A block has volume 75 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 18th March 1993A right-angled triangle has a hypotenuse of 26 cm and one shorter side of 24 cm. Work out the other shorter side.
- 19th March 19934 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 20th March 1993A box plot has minimum 9, lower quartile 19, median 26, upper quartile 28 and maximum 35. Work out the interquartile range.
- 21st March 1993Write sqrt(48) in the form a sqrt(b), where b is as small as possible.
- 22nd March 1993A line has equation y = -5x + 1. Work out the gradient of any line perpendicular to it.
- 23rd March 1993x : y = 5 : 8. Write y in terms of x.
- 24th March 1993ABCD is a cyclic quadrilateral. Angle ABC is 51°. Work out angle ADC.
- 25th March 199320 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 March 1993A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 27th March 1993A meal deal has 9 mains, 3 sides and 5 drinks. How many different meals are possible?
- 28th March 1993For the curve y = -7/x, work out y when x = 1, and write down the equation of its vertical asymptote.
- 29th March 1993A price rises by 15% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 30th March 1993A, B and C are points on a circle with centre O. Angle AOC is 134°. Work out angle ABC, where B is on the major arc.
- 31st March 19933 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.