Daily Practice · Higher
July 1980 5-a-day
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The batch download puts all 5 tiers' July 1980 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in July 1980
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st July 19801 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 2nd July 1980Four classes in order have frequencies 7, 3, 3, 12. Write down the cumulative frequency at the end of the third class.
- 3rd July 1980A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 4th July 1980Expand and simplify (x - 3)(x + 2)(x + 3).
- 5th July 1980y is directly proportional to x^2. When x = 6, y = 324. Work out y when x = 2.
- 6th July 1980A cone has base radius 9 cm and vertical height 3 cm. Work out its volume, leaving your answer in terms of pi.
- 7th July 198022 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 8th July 198015 beetles are marked and released. Later 24 are caught, of which 2 are marked. Estimate the population.
- 9th July 1980Work out (20 x 10^12) / (4 x 10^4). Give your answer in standard form.
- 10th July 1980Make x the subject of y = 3x^2 - 7.
- 11th July 1980y is directly proportional to x. When x = 2, y = 8. Work out y when x = 15.
- 12th July 1980In triangle ABC, angle A is 75°, angle B is 74° and side a is 10 cm. Use the sine rule to work out side b, to 1 decimal place.
- 13th July 19801 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 14th July 1980A cumulative frequency graph is drawn for 204 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 15th July 1980Write the recurring decimal 0.555... as a fraction in its simplest form.
- 16th July 1980Factorise x^2 - 25.
- 17th July 1980A town's population is 27000 and grows by 8% each year. Work out the population after 6 years, to the nearest whole number.
- 18th July 1980A right-angled triangle has sides 10 cm, 24 cm and 26 cm. Work out the angle opposite the 10 cm side, to 1 decimal place.
- 19th July 198012 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 20th July 1980A box plot has a minimum of 19 and a maximum of 48. Work out the range.
- 21st July 1980Work out 125^(2/3).
- 22nd July 1980A region is defined by y < -x + 2. Should the boundary line be solid or dashed, and why?
- 23rd July 1980A block has volume 100 cm^3 and density 11 g/cm^3. Work out its mass.
- 24th July 1980The point (-1, 6) is enlarged by scale factor -3 about the centre (-2, -2). Write down the coordinates of the image.
- 25th July 19803 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 26th July 1980A box plot has minimum 15, lower quartile 23, median 29, upper quartile 37 and maximum 40. Work out the interquartile range.
- 27th July 1980Write sqrt(20) in the form a sqrt(b), where b is as small as possible.
- 28th July 1980Factorise x^2 + 2x - 48.
- 29th July 1980x : y = 5 : 9. Write y in terms of x.
- 30th July 1980Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 1984 cm^3. Work out the volume of the smaller.
- 31st July 198021 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.