Daily Practice · Higher
August 1999 - Higher 5-a-day
Every Higher sheet published in August 1999, with answers. Grades 6-7 - Higher-tier method and manipulation.
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The batch download puts all 5 tiers' August 1999 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in August 1999
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 1999y is inversely proportional to x. When x = 5, y = 48. Work out y when x = 12.
- 2nd August 1999In triangle ABC, angle A is 76°, angle B is 41° and side a is 19 cm. Use the sine rule to work out side b, to 1 decimal place.
- 3rd August 19992 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 4th August 1999Four classes in order have frequencies 5, 6, 9, 9. Write down the cumulative frequency at the end of the third class.
- 5th August 1999Write 7^-3 as a fraction.
- 6th August 1999Factorise x^2 - 49.
- 7th August 1999y is directly proportional to x^2. When x = 6, y = 72. Work out y when x = 2.
- 8th August 1999A 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.
- 9th August 199930 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 10th August 199940 fish are marked and released. Later 54 are caught, of which 9 are marked. Estimate the population.
- 11th August 1999Work out (7 x 10^3) x (9 x 10^2). Give your answer in standard form.
- 12th August 1999A region is defined by y < -x - 4. Should the boundary line be solid or dashed, and why?
- 13th August 1999y is directly proportional to x. When x = 5, y = 50. Work out y when x = 7.
- 14th August 1999The point (-2, -3) is enlarged by scale factor -2 about the centre (4, 1). Write down the coordinates of the image.
- 15th August 19991 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 16th August 1999A cumulative frequency graph is drawn for 196 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 17th August 1999Write the recurring decimal 0.9595... as a fraction in its simplest form.
- 18th August 1999Factorise x^2 + 7x + 10.
- 19th August 1999A town's population is 29500 and grows by 8% each year. Work out the population after 6 years, to the nearest whole number.
- 20th August 1999Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 72 cm^3. Work out the volume of the smaller.
- 21st August 199918 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 22nd August 1999A box plot has a minimum of 7 and a maximum of 65. Work out the range.
- 23rd August 1999A bill is £912 including VAT at 20%. Work out the amount before VAT.
- 24th August 1999Work out the equation of the line parallel to y = -3x + 8 that passes through (4, -11).
- 25th August 1999A block has volume 10 cm^3 and density 11 g/cm^3. Work out its mass.
- 26th August 1999A right-angled triangle has a hypotenuse of 10 cm and one shorter side of 6 cm. Work out the other shorter side.
- 27th August 19996 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 28th August 1999A box plot has minimum 9, lower quartile 16, median 21, upper quartile 30 and maximum 39. Work out the interquartile range.
- 29th August 1999A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 30th August 1999A line has equation y = 2x + 5. Work out the gradient of any line perpendicular to it.
- 31st August 1999x : y = 7 : 9. Write y in terms of x.