Daily Practice · Higher
July 1967 5-a-day
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The batch download puts all 5 tiers' July 1967 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in July 1967
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st July 1967Expand and simplify (x - 4)(x + 1)(x + 4).
- 2nd July 1967y is inversely proportional to x. When x = 7, y = 12. Work out y when x = 2.
- 3rd July 1967A cone has base radius 7 cm and vertical height 18 cm. Work out its volume, leaving your answer in terms of pi.
- 4th July 196718 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 5th July 1967Four classes in order have frequencies 8, 10, 12, 5. Write down the cumulative frequency at the end of the third class.
- 6th July 1967Work out (8 x 10^8) / (4 x 10^3). Give your answer in standard form.
- 7th July 1967Make x the subject of y = 6x^2 - 11.
- 8th July 1967y is directly proportional to x^2. When x = 6, y = 108. Work out y when x = 4.
- 9th July 1967In triangle ABC, angle A is 53°, angle B is 74° and side a is 7 cm. Use the sine rule to work out side b, to 1 decimal place.
- 10th July 19672 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 11th July 196710 fish are marked and released. Later 56 are caught, of which 7 are marked. Estimate the population.
- 12th July 1967Write the recurring decimal 0.222... as a fraction in its simplest form.
- 13th July 1967Factorise x^2 - 36.
- 14th July 1967y is directly proportional to x. When x = 2, y = 10. Work out y when x = 14.
- 15th July 1967A 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.
- 16th July 196715 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 17th July 1967A cumulative frequency graph is drawn for 104 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 18th July 1967Work out 16^(3/2).
- 19th July 1967A region is defined by y < 4x + 1. Should the boundary line be solid or dashed, and why?
- 20th July 1967A town's population is 18500 and grows by 6% each year. Work out the population after 6 years, to the nearest whole number.
- 21st July 1967The point (6, -1) is enlarged by scale factor -2 about the centre (-1, 0). Write down the coordinates of the image.
- 22nd July 19673 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 23rd July 1967A box plot has a minimum of 11 and a maximum of 46. Work out the range.
- 24th July 1967Write sqrt(72) in the form a sqrt(b), where b is as small as possible.
- 25th July 1967Factorise x^2 - 7x + 6.
- 26th July 1967A block has volume 100 cm^3 and density 8 g/cm^3. Work out its mass.
- 27th July 1967Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 128 cm^3. Work out the volume of the smaller.
- 28th July 196716 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 29th July 1967A box plot has minimum 2, lower quartile 11, median 13, upper quartile 21 and maximum 30. Work out the interquartile range.
- 30th July 1967A meal deal has 5 mains, 7 sides and 3 drinks. How many different meals are possible?
- 31st July 1967Work out the equation of the line parallel to y = 2x + 7 that passes through (3, 15).