Daily Practice · Higher
August 1960 5-a-day
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The batch download puts all 5 tiers' August 1960 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in August 1960
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 1960A price rises by 25% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 2nd August 1960The point (1, 3) is enlarged by scale factor -3 about the centre (0, 1). Write down the coordinates of the image.
- 3rd August 19602 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 4th August 1960A histogram class is 20 units wide and contains 50 values. Work out the frequency density.
- 5th August 1960Write the recurring decimal 0.3939... as a fraction in its simplest form.
- 6th August 1960Factorise x^2 - 6x + 5.
- 7th August 1960y is inversely proportional to x. When x = 8, y = 8. Work out y when x = 2.
- 8th August 1960Two 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.
- 9th August 196025 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 10th August 1960Four classes in order have frequencies 4, 8, 6, 3. Write down the cumulative frequency at the end of the third class.
- 11th August 1960A bill is £192 including VAT at 20%. Work out the amount before VAT.
- 12th August 1960Work out the equation of the line parallel to y = 2x - 3 that passes through (6, 17).
- 13th August 1960y is directly proportional to x^2. When x = 4, y = 64. Work out y when x = 5.
- 14th August 1960A right-angled triangle has a hypotenuse of 15 cm and one shorter side of 9 cm. Work out the other shorter side.
- 15th August 19601 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 16th August 196010 voles are marked and released. Later 70 are caught, of which 7 are marked. Estimate the population.
- 17th August 1960A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 18th August 1960A line has equation y = -3x + 8. Work out the gradient of any line perpendicular to it.
- 19th August 1960y is directly proportional to x. When x = 3, y = 30. Work out y when x = 6.
- 20th August 1960ABCD is a cyclic quadrilateral. Angle ABC is 64°. Work out angle ADC.
- 21st August 196014 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 22nd August 1960A cumulative frequency graph is drawn for 180 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 23rd August 1960Work out (21 x 10^9) / (3 x 10^2). Give your answer in standard form.
- 24th August 1960For the curve y = 9/x, work out y when x = -1, and write down the equation of its vertical asymptote.
- 25th August 1960A town's population is 5500 and grows by 8% each year. Work out the population after 6 years, to the nearest whole number.
- 26th August 1960A, B and C are points on a circle with centre O. Angle AOC is 122°. Work out angle ABC, where B is on the major arc.
- 27th August 19605 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 28th August 1960A box plot has a minimum of 16 and a maximum of 75. Work out the range.
- 29th August 1960Write the recurring decimal 0.222... as a fraction in its simplest form.
- 30th August 1960Expand and simplify (x - 5)(x - 5)(x + 2).
- 31st August 1960A block has volume 25 cm^3 and density 7.5 g/cm^3. Work out its mass.