Daily Practice · Higher
May 1969 5-a-day
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The batch download puts all 5 tiers' May 1969 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 1969
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 1969A histogram class is 10 units wide and contains 25 values. Work out the frequency density.
- 2nd May 1969Write the recurring decimal 0.666... as a fraction in its simplest form.
- 3rd May 1969Expand and simplify (x + 1)(x + 2)(x - 5).
- 4th May 1969y is inversely proportional to x. When x = 7, y = 30. Work out y when x = 10.
- 5th May 1969A cone has base radius 7 cm and vertical height 9 cm. Work out its volume, leaving your answer in terms of pi.
- 6th May 196920 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 7th May 1969Four classes in order have frequencies 5, 11, 11, 6. Write down the cumulative frequency at the end of the third class.
- 8th May 1969Work out 27^(2/3).
- 9th May 1969Make x the subject of y = 3x^2 - 4.
- 10th May 1969y is directly proportional to x^2. When x = 5, y = 50. Work out y when x = 2.
- 11th May 1969In triangle ABC, angle A is 67°, angle B is 65° and side a is 9 cm. Use the sine rule to work out side b, to 1 decimal place.
- 12th May 19698 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 13th May 196915 beetles are marked and released. Later 20 are caught, of which 4 are marked. Estimate the population.
- 14th May 1969Write sqrt(32) in the form a sqrt(b), where b is as small as possible.
- 15th May 1969Factorise x^2 - 16.
- 16th May 1969y is directly proportional to x. When x = 5, y = 10. Work out y when x = 6.
- 17th May 1969A 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.
- 18th May 196926 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 May 1969A cumulative frequency graph is drawn for 124 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 20th May 1969A meal deal has 5 mains, 8 sides and 3 drinks. How many different meals are possible?
- 21st May 1969A region is defined by y <= -x - 9. Should the boundary line be solid or dashed, and why?
- 22nd May 1969A town's population is 15500 and grows by 8% each year. Work out the population after 6 years, to the nearest whole number.
- 23rd May 1969The point (-4, -6) is enlarged by scale factor -1 about the centre (4, 0). Write down the coordinates of the image.
- 24th May 19693 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 25th May 1969A box plot has a minimum of 13 and a maximum of 39. Work out the range.
- 26th May 1969A mass is 620 kg, correct to the nearest 10. Write down the upper bound.
- 27th May 1969Factorise x^2 - 10x + 24.
- 28th May 1969A block has volume 185 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 29th May 1969Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 378 cm^3. Work out the volume of the smaller.
- 30th May 196920 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 May 1969A box plot has minimum 8, lower quartile 18, median 28, upper quartile 34 and maximum 42. Work out the interquartile range.