Daily Practice · Higher
August 1996 - Higher 5-a-day
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The batch download puts all 5 tiers' August 1996 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in August 1996
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 1996A histogram class is 4 units wide and contains 6 values. Work out the frequency density.
- 2nd August 1996A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 3rd August 1996A region is defined by y <= -x + 1. Should the boundary line be solid or dashed, and why?
- 4th August 1996y is inversely proportional to x. When x = 2, y = 50. Work out y when x = 10.
- 5th August 1996The point (-5, 4) is enlarged by scale factor -3 about the centre (3, 3). Write down the coordinates of the image.
- 6th August 19966 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 7th August 1996Four classes in order have frequencies 4, 7, 9, 10. Write down the cumulative frequency at the end of the third class.
- 8th August 1996Work out (36 x 10^8) / (4 x 10^5). Give your answer in standard form.
- 9th August 1996Factorise x^2 + x - 2.
- 10th August 1996y is directly proportional to x^2. When x = 4, y = 144. Work out y when x = 2.
- 11th August 1996Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 192 cm^3. Work out the volume of the smaller.
- 12th August 199626 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 13th August 199630 voles are marked and released. Later 33 are caught, of which 3 are marked. Estimate the population.
- 14th August 1996Write the recurring decimal 0.555... as a fraction in its simplest form.
- 15th August 1996Work out the equation of the line parallel to y = 3x - 7 that passes through (1, -9).
- 16th August 1996y is directly proportional to x. When x = 4, y = 40. Work out y when x = 6.
- 17th August 1996A right-angled triangle has a hypotenuse of 17 cm and one shorter side of 15 cm. Work out the other shorter side.
- 18th August 19962 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 19th August 1996A cumulative frequency graph is drawn for 104 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 20th August 1996Work out 49^(3/2).
- 21st August 1996A line has equation y = -3x + 5. Work out the gradient of any line perpendicular to it.
- 22nd August 1996A town's population is 30000 and grows by 3% each year. Work out the population after 2 years, to the nearest whole number.
- 23rd August 1996ABCD is a cyclic quadrilateral. Angle ABC is 103°. Work out angle ADC.
- 24th August 199616 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 25th August 1996A box plot has a minimum of 2 and a maximum of 50. Work out the range.
- 26th August 1996Write sqrt(8) in the form a sqrt(b), where b is as small as possible.
- 27th August 1996For the curve y = 50/x, work out y when x = 10, and write down the equation of its vertical asymptote.
- 28th August 1996A block has volume 200 cm^3 and density 4 g/cm^3. Work out its mass.
- 29th August 1996A, B and C are points on a circle with centre O. Angle AOC is 154°. Work out angle ABC, where B is on the major arc.
- 30th August 19963 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 31st August 1996A box plot has minimum 12, lower quartile 20, median 28, upper quartile 35 and maximum 41. Work out the interquartile range.