Daily Practice · Higher
June 1965 5-a-day
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The batch download puts all 5 tiers' June 1965 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in June 1965
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 1965In triangle ABC, angle A is 37°, angle B is 65° and side a is 7 cm. Use the sine rule to work out side b, to 1 decimal place.
- 2nd June 19652 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 3rd June 1965A histogram class is 20 units wide and contains 40 values. Work out the frequency density.
- 4th June 1965A mass is 22 kg, correct to the nearest whole number. Write down the lower bound.
- 5th June 1965Factorise x^2 - 81.
- 6th June 1965y is inversely proportional to x. When x = 7, y = 20. Work out y when x = 10.
- 7th June 1965A right-angled triangle has sides 6 cm, 8 cm and 10 cm. Work out the angle opposite the 6 cm side, to 1 decimal place.
- 8th June 196523 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 9th June 1965Four classes in order have frequencies 4, 3, 9, 11. Write down the cumulative frequency at the end of the third class.
- 10th June 1965Write 2^-3 as a fraction.
- 11th June 1965A region is defined by y < 5x - 2. Should the boundary line be solid or dashed, and why?
- 12th June 1965y is directly proportional to x^2. When x = 3, y = 63. Work out y when x = 2.
- 13th June 1965The point (2, -3) is enlarged by scale factor -1 about the centre (3, -3). Write down the coordinates of the image.
- 14th June 19655 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 15th June 196540 voles are marked and released. Later 24 are caught, of which 8 are marked. Estimate the population.
- 16th June 1965Work out (7 x 10^6) x (6 x 10^-2). Give your answer in standard form.
- 17th June 1965Factorise x^2 + 3x + 2.
- 18th June 1965y is directly proportional to x. When x = 6, y = 42. Work out y when x = 11.
- 19th June 1965Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 81 cm^3. Work out the volume of the smaller.
- 20th June 196519 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 21st June 1965A cumulative frequency graph is drawn for 120 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 22nd June 1965Write the recurring decimal 0.8282... as a fraction in its simplest form.
- 23rd June 1965Work out the equation of the line parallel to y = -x - 9 that passes through (5, 2).
- 24th June 1965A town's population is 7000 and grows by 4% each year. Work out the population after 5 years, to the nearest whole number.
- 25th June 1965A right-angled triangle has a hypotenuse of 20 cm and one shorter side of 16 cm. Work out the other shorter side.
- 26th June 19652 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 27th June 1965A box plot has a minimum of 17 and a maximum of 43. Work out the range.
- 28th June 1965A bill is £72 including VAT at 20%. Work out the amount before VAT.
- 29th June 1965A line has equation y = 5x + 2. Work out the gradient of any line perpendicular to it.
- 30th June 1965A block has volume 20 cm^3 and density 7.5 g/cm^3. Work out its mass.