Daily Practice · Higher
October 1997 - Higher 5-a-day
Every Higher sheet published in October 1997, with answers. Grades 6-7 - Higher-tier method and manipulation.
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The batch download puts all 5 tiers' October 1997 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in October 1997
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st October 1997Four classes in order have frequencies 6, 7, 10, 10. Write down the cumulative frequency at the end of the third class.
- 2nd October 1997A meal deal has 6 mains, 3 sides and 3 drinks. How many different meals are possible?
- 3rd October 1997Factorise x^2 - 144.
- 4th October 1997y is directly proportional to x^2. When x = 2, y = 24. Work out y when x = 6.
- 5th October 1997A right-angled triangle has sides 9 cm, 12 cm and 15 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
- 6th October 199716 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 7th October 199740 newts are marked and released. Later 55 are caught, of which 5 are marked. Estimate the population.
- 8th October 1997A mass is 42 kg, correct to the nearest whole number. Write down the upper bound.
- 9th October 1997A region is defined by y <= -2x - 2. Should the boundary line be solid or dashed, and why?
- 10th October 1997y is directly proportional to x. When x = 5, y = 60. Work out y when x = 10.
- 11th October 1997The point (5, 1) is enlarged by scale factor -3 about the centre (0, -2). Write down the coordinates of the image.
- 12th October 19971 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 13th October 1997A cumulative frequency graph is drawn for 224 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 14th October 1997Write 3^-1 as a fraction.
- 15th October 1997Factorise x^2 + 9x + 18.
- 16th October 1997A town's population is 22000 and grows by 6% each year. Work out the population after 3 years, to the nearest whole number.
- 17th October 1997Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 2560 cm^3. Work out the volume of the smaller.
- 18th October 199720 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 19th October 1997A box plot has a minimum of 6 and a maximum of 61. Work out the range.
- 20th October 1997Work out (4 x 10^6) x (6 x 10^5). Give your answer in standard form.
- 21st October 1997Work out the equation of the line parallel to y = -x + 3 that passes through (5, -13).
- 22nd October 1997A block has volume 15 cm^3 and density 4 g/cm^3. Work out its mass.
- 23rd October 1997A right-angled triangle has a hypotenuse of 26 cm and one shorter side of 24 cm. Work out the other shorter side.
- 24th October 19976 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 25th October 1997A box plot has minimum 5, lower quartile 10, median 14, upper quartile 22 and maximum 27. Work out the interquartile range.
- 26th October 1997Write the recurring decimal 0.3535... as a fraction in its simplest form.
- 27th October 1997A line has equation y = 5x + 7. Work out the gradient of any line perpendicular to it.
- 28th October 1997x : y = 3 : 5. Write y in terms of x.
- 29th October 1997ABCD is a cyclic quadrilateral. Angle ABC is 121°. Work out angle ADC.
- 30th October 199720 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 31st October 1997A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.