Daily Practice · Higher
August 1963 5-a-day
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The batch download puts all 5 tiers' August 1963 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in August 1963
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 1963A histogram class is 10 units wide and contains 20 values. Work out the frequency density.
- 2nd August 1963Write sqrt(18) in the form a sqrt(b), where b is as small as possible.
- 3rd August 1963Factorise x^2 - 25.
- 4th August 1963y is inversely proportional to x. When x = 3, y = 20. Work out y when x = 10.
- 5th August 1963A right-angled triangle has sides 3 cm, 4 cm and 5 cm. Work out the angle opposite the 3 cm side, to 1 decimal place.
- 6th August 196313 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 7th August 1963Four classes in order have frequencies 11, 6, 3, 6. Write down the cumulative frequency at the end of the third class.
- 8th August 1963A meal deal has 9 mains, 5 sides and 4 drinks. How many different meals are possible?
- 9th August 1963A region is defined by y <= 2x - 5. Should the boundary line be solid or dashed, and why?
- 10th August 1963y is directly proportional to x^2. When x = 3, y = 27. Work out y when x = 6.
- 11th August 1963The point (6, -4) is enlarged by scale factor -1 about the centre (2, 0). Write down the coordinates of the image.
- 12th August 19638 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 13th August 196350 fish are marked and released. Later 56 are caught, of which 7 are marked. Estimate the population.
- 14th August 1963A mass is 23 kg, correct to 1 decimal place. Write down the upper bound.
- 15th August 1963Factorise x^2 - x - 12.
- 16th August 1963y is directly proportional to x. When x = 6, y = 36. Work out y when x = 15.
- 17th August 1963Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 351 cm^3. Work out the volume of the smaller.
- 18th August 196317 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 19th August 1963A cumulative frequency graph is drawn for 84 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 20th August 1963Write 8^-2 as a fraction.
- 21st August 1963Work out the equation of the line parallel to y = -5x + 3 that passes through (3, -17).
- 22nd August 1963A town's population is 26000 and grows by 8% each year. Work out the population after 2 years, to the nearest whole number.
- 23rd August 1963A right-angled triangle has a hypotenuse of 10 cm and one shorter side of 6 cm. Work out the other shorter side.
- 24th August 19632 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 25th August 1963A box plot has a minimum of 7 and a maximum of 63. Work out the range.
- 26th August 1963Work out (4 x 10^8) x (9 x 10^2). Give your answer in standard form.
- 27th August 1963A line has equation y = 4x + 1. Work out the gradient of any line perpendicular to it.
- 28th August 1963A block has volume 30 cm^3 and density 4 g/cm^3. Work out its mass.
- 29th August 1963ABCD is a cyclic quadrilateral. Angle ABC is 96°. Work out angle ADC.
- 30th August 196318 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 August 1963A box plot has minimum 7, lower quartile 14, median 16, upper quartile 24 and maximum 27. Work out the interquartile range.