Daily Practice · Higher
March 1997 - Higher 5-a-day
Printing for a group?
The batch download puts all 5 tiers' March 1997 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 1997
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 1997A line has equation y = 3x + 2. Work out the gradient of any line perpendicular to it.
- 2nd March 1997y is inversely proportional to x. When x = 3, y = 50. Work out y when x = 10.
- 3rd March 1997ABCD is a cyclic quadrilateral. Angle ABC is 58°. Work out angle ADC.
- 4th March 199725 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 5th March 1997Four classes in order have frequencies 8, 7, 11, 3. Write down the cumulative frequency at the end of the third class.
- 6th March 1997Work out 27^(2/3).
- 7th March 1997For the curve y = 4/x, work out y when x = -4, and write down the equation of its vertical asymptote.
- 8th March 1997y is directly proportional to x^2. When x = 3, y = 36. Work out y when x = 6.
- 9th March 1997A, B and C are points on a circle with centre O. Angle AOC is 166°. Work out angle ABC, where B is on the major arc.
- 10th March 19972 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 11th March 199710 fish are marked and released. Later 60 are caught, of which 5 are marked. Estimate the population.
- 12th March 1997Write sqrt(27) in the form a sqrt(b), where b is as small as possible.
- 13th March 1997Expand and simplify (x - 5)(x + 5)(x - 5).
- 14th March 1997y is directly proportional to x. When x = 3, y = 9. Work out y when x = 2.
- 15th March 1997A cone has base radius 9 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 16th March 199719 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 17th March 1997A cumulative frequency graph is drawn for 124 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 18th March 1997A meal deal has 3 mains, 6 sides and 2 drinks. How many different meals are possible?
- 19th March 1997Make x the subject of y = 5x^2 - 3.
- 20th March 1997A town's population is 21000 and grows by 6% each year. Work out the population after 5 years, to the nearest whole number.
- 21st March 1997In triangle ABC, angle A is 55°, angle B is 78° and side a is 16 cm. Use the sine rule to work out side b, to 1 decimal place.
- 22nd March 19976 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 23rd March 1997A box plot has a minimum of 18 and a maximum of 53. Work out the range.
- 24th March 1997A mass is 390 kg, correct to the nearest 10. Write down the lower bound.
- 25th March 1997Factorise x^2 - 64.
- 26th March 1997A block has volume 10 cm^3 and density 8 g/cm^3. Work out its mass.
- 27th March 1997A 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.
- 28th March 199723 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 29th March 1997A box plot has minimum 12, lower quartile 17, median 25, upper quartile 28 and maximum 37. Work out the interquartile range.
- 30th March 1997Write 6^-3 as a fraction.
- 31st March 1997A region is defined by y <= -5x - 3. Should the boundary line be solid or dashed, and why?