Daily Practice · Higher
May 1971 5-a-day
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The batch download puts all 5 tiers' May 1971 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 1971
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 1971In triangle ABC, angle A is 66°, angle B is 48° and side a is 7 cm. Use the sine rule to work out side b, to 1 decimal place.
- 2nd May 19716 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 3rd May 1971A cumulative frequency graph is drawn for 192 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 4th May 1971Work out 36^(3/2).
- 5th May 1971Factorise x^2 - 81.
- 6th May 1971A town's population is 10500 and grows by 3% each year. Work out the population after 5 years, to the nearest whole number.
- 7th May 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.
- 8th May 197115 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 9th May 1971A box plot has a minimum of 20 and a maximum of 31. Work out the range.
- 10th May 1971Write sqrt(72) in the form a sqrt(b), where b is as small as possible.
- 11th May 1971A region is defined by y <= x - 5. Should the boundary line be solid or dashed, and why?
- 12th May 1971A block has volume 195 cm^3 and density 11 g/cm^3. Work out its mass.
- 13th May 1971The point (0, 0) is enlarged by scale factor -1 about the centre (0, 1). Write down the coordinates of the image.
- 14th May 19714 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 15th May 1971A box plot has minimum 3, lower quartile 13, median 22, upper quartile 28 and maximum 30. Work out the interquartile range.
- 16th May 1971A meal deal has 9 mains, 5 sides and 2 drinks. How many different meals are possible?
- 17th May 1971Factorise x^2 + 10x + 21.
- 18th May 1971x : y = 4 : 5. Write y in terms of x.
- 19th May 1971Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 972 cm^3. Work out the volume of the smaller.
- 20th May 197126 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 21st May 1971A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 22nd May 1971A mass is 320 kg, correct to the nearest 10. Write down the lower bound.
- 23rd May 1971Work out the equation of the line parallel to y = 3x + 4 that passes through (4, 16).
- 24th May 1971A price rises by 20% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 25th May 1971A right-angled triangle has a hypotenuse of 25 cm and one shorter side of 24 cm. Work out the other shorter side.
- 26th May 19717 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 27th May 1971A histogram class is 2 units wide and contains 3 values. Work out the frequency density.
- 28th May 1971Write 9^-2 as a fraction.
- 29th May 1971A line has equation y = -5x + 2. Work out the gradient of any line perpendicular to it.
- 30th May 1971y is inversely proportional to x. When x = 7, y = 12. Work out y when x = 6.
- 31st May 1971ABCD is a cyclic quadrilateral. Angle ABC is 110°. Work out angle ADC.