Daily Practice · Higher
September 1997 - Higher 5-a-day
Every Higher sheet published in September 1997, with answers. Grades 6-7 - Higher-tier method and manipulation.
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The batch download puts all 5 tiers' September 1997 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in September 1997
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 1997A cumulative frequency graph is drawn for 200 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 2nd September 1997A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 3rd September 1997Work out the equation of the line parallel to y = 3x + 5 that passes through (6, 21).
- 4th September 1997A town's population is 25500 and grows by 5% each year. Work out the population after 2 years, to the nearest whole number.
- 5th September 1997A right-angled triangle has a hypotenuse of 25 cm and one shorter side of 7 cm. Work out the other shorter side.
- 6th September 19974 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 7th September 1997A box plot has a minimum of 5 and a maximum of 50. Work out the range.
- 8th September 1997Work out (63 x 10^11) / (7 x 10^3). Give your answer in standard form.
- 9th September 1997A line has equation y = -4x + 9. Work out the gradient of any line perpendicular to it.
- 10th September 1997A block has volume 195 cm^3 and density 4 g/cm^3. Work out its mass.
- 11th September 1997ABCD is a cyclic quadrilateral. Angle ABC is 52°. Work out angle ADC.
- 12th September 199717 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 13th September 1997A box plot has minimum 2, lower quartile 6, median 14, upper quartile 20 and maximum 23. Work out the interquartile range.
- 14th September 1997Write the recurring decimal 0.444... as a fraction in its simplest form.
- 15th September 1997For the curve y = 25/x, work out y when x = -5, and write down the equation of its vertical asymptote.
- 16th September 1997x : y = 3 : 4. Write y in terms of x.
- 17th September 1997A, B and C are points on a circle with centre O. Angle AOC is 84°. Work out angle ABC, where B is on the major arc.
- 18th September 19978 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 19th September 1997A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 20th September 1997Work out 49^(3/2).
- 21st September 1997Expand and simplify (x - 1)(x + 3)(x - 1).
- 22nd September 1997A price rises by 20% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 23rd September 1997A cone has base radius 5 cm and vertical height 18 cm. Work out its volume, leaving your answer in terms of pi.
- 24th September 199725 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 25th September 1997A histogram class is 10 units wide and contains 15 values. Work out the frequency density.
- 26th September 1997Write sqrt(8) in the form a sqrt(b), where b is as small as possible.
- 27th September 1997Make x the subject of y = 3x^2 - 9.
- 28th September 1997y is inversely proportional to x. When x = 6, y = 30. Work out y when x = 5.
- 29th September 1997In triangle ABC, angle A is 71°, angle B is 36° and side a is 15 cm. Use the sine rule to work out side b, to 1 decimal place.
- 30th September 19973 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.