Daily Practice · Higher
June 1971 5-a-day
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The batch download puts all 5 tiers' June 1971 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in June 1971
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 197119 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 2nd June 1971Four classes in order have frequencies 8, 3, 12, 9. Write down the cumulative frequency at the end of the third class.
- 3rd June 1971Work out (5 x 10^8) x (2 x 10^2). Give your answer in standard form.
- 4th June 1971For the curve y = -60/x, work out y when x = 10, and write down the equation of its vertical asymptote.
- 5th June 1971y is directly proportional to x^2. When x = 6, y = 216. Work out y when x = 4.
- 6th June 1971A, B and C are points on a circle with centre O. Angle AOC is 100°. Work out angle ABC, where B is on the major arc.
- 7th June 19712 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 8th June 197145 fish are marked and released. Later 9 are caught, of which 3 are marked. Estimate the population.
- 9th June 1971Write the recurring decimal 0.8686... as a fraction in its simplest form.
- 10th June 1971Expand and simplify (x + 3)(x + 1)(x + 4).
- 11th June 1971y is directly proportional to x. When x = 6, y = 42. Work out y when x = 7.
- 12th June 1971A cone has base radius 10 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
- 13th June 197120 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 14th June 1971A cumulative frequency graph is drawn for 180 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 15th June 1971A bill is £792 including VAT at 20%. Work out the amount before VAT.
- 16th June 1971Make x the subject of y = 4x^2 - 5.
- 17th June 1971A town's population is 23500 and grows by 8% each year. Work out the population after 6 years, to the nearest whole number.
- 18th June 1971In triangle ABC, angle A is 63°, angle B is 37° and side a is 18 cm. Use the sine rule to work out side b, to 1 decimal place.
- 19th June 19712 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 20th June 1971A box plot has a minimum of 18 and a maximum of 56. Work out the range.
- 21st June 1971A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 22nd June 1971Factorise x^2 - 25.
- 23rd June 1971A block has volume 30 cm^3 and density 11 g/cm^3. Work out its mass.
- 24th June 1971A right-angled triangle has sides 12 cm, 16 cm and 20 cm. Work out the angle opposite the 12 cm side, to 1 decimal place.
- 25th June 197132 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 26th June 1971A box plot has minimum 7, lower quartile 15, median 24, upper quartile 29 and maximum 31. Work out the interquartile range.
- 27th June 1971Work out (48 x 10^7) / (8 x 10^4). Give your answer in standard form.
- 28th June 1971A region is defined by y <= x + 5. Should the boundary line be solid or dashed, and why?
- 29th June 1971x : y = 4 : 7. Write y in terms of x.
- 30th June 1971The point (3, -6) is enlarged by scale factor -1 about the centre (-4, -3). Write down the coordinates of the image.