Daily Practice · Higher
July 1961 5-a-day
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The batch download puts all 5 tiers' July 1961 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in July 1961
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st July 1961Write the recurring decimal 0.3030... as a fraction in its simplest form.
- 2nd July 1961A region is defined by y < 3x + 2. Should the boundary line be solid or dashed, and why?
- 3rd July 1961A price rises by 25% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 4th July 1961The point (5, 5) is enlarged by scale factor -1 about the centre (3, -3). Write down the coordinates of the image.
- 5th July 19617 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 6th July 1961A histogram class is 2 units wide and contains 8 values. Work out the frequency density.
- 7th July 1961A bill is £600 including VAT at 20%. Work out the amount before VAT.
- 8th July 1961Factorise x^2 + 18x + 81.
- 9th July 1961y is inversely proportional to x. When x = 3, y = 20. Work out y when x = 4.
- 10th July 1961Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 1026 cm^3. Work out the volume of the smaller.
- 11th July 196120 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 12th July 1961Four classes in order have frequencies 10, 8, 11, 8. Write down the cumulative frequency at the end of the third class.
- 13th July 1961A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 14th July 1961Work out the equation of the line parallel to y = 5x + 8 that passes through (2, 14).
- 15th July 1961y is directly proportional to x^2. When x = 3, y = 36. Work out y when x = 8.
- 16th July 1961A right-angled triangle has a hypotenuse of 20 cm and one shorter side of 16 cm. Work out the other shorter side.
- 17th July 19611 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 18th July 196150 voles are marked and released. Later 72 are caught, of which 8 are marked. Estimate the population.
- 19th July 1961Work out (32 x 10^10) / (4 x 10^3). Give your answer in standard form.
- 20th July 1961A line has equation y = -2x + 3. Work out the gradient of any line perpendicular to it.
- 21st July 1961y is directly proportional to x. When x = 7, y = 35. Work out y when x = 13.
- 22nd July 1961ABCD is a cyclic quadrilateral. Angle ABC is 81°. Work out angle ADC.
- 23rd July 196114 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 24th July 1961A cumulative frequency graph is drawn for 132 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 25th July 1961Write the recurring decimal 0.111... as a fraction in its simplest form.
- 26th July 1961For the curve y = -24/x, work out y when x = -2, and write down the equation of its vertical asymptote.
- 27th July 1961A town's population is 23000 and grows by 5% each year. Work out the population after 2 years, to the nearest whole number.
- 28th July 1961A, B and C are points on a circle with centre O. Angle AOC is 88°. Work out angle ABC, where B is on the major arc.
- 29th July 19616 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 30th July 1961A box plot has a minimum of 14 and a maximum of 42. Work out the range.
- 31st July 1961Work out 216^(2/3).