Daily Practice · Higher
May 1961 5-a-day
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The batch download puts all 5 tiers' May 1961 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 1961
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 1961A cumulative frequency graph is drawn for 192 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 2nd May 1961A bill is £720 including VAT at 20%. Work out the amount before VAT.
- 3rd May 1961Make x the subject of y = 7x^2 - 9.
- 4th May 1961A town's population is 23500 and grows by 6% each year. Work out the population after 4 years, to the nearest whole number.
- 5th May 1961In triangle ABC, angle A is 73°, angle B is 30° and side a is 8 cm. Use the sine rule to work out side b, to 1 decimal place.
- 6th May 19615 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 7th May 1961A box plot has a minimum of 9 and a maximum of 23. Work out the range.
- 8th May 1961A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 9th May 1961Factorise x^2 - 36.
- 10th May 1961A block has volume 105 cm^3 and density 4 g/cm^3. Work out its mass.
- 11th May 1961A right-angled triangle has sides 9 cm, 12 cm and 15 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
- 12th May 196122 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 13th May 1961A box plot has minimum 7, lower quartile 12, median 16, upper quartile 24 and maximum 32. Work out the interquartile range.
- 14th May 1961Work out (72 x 10^11) / (8 x 10^3). Give your answer in standard form.
- 15th May 1961A region is defined by y < 4x + 4. Should the boundary line be solid or dashed, and why?
- 16th May 1961x : y = 2 : 9. Write y in terms of x.
- 17th May 1961The point (-2, 2) is enlarged by scale factor -2 about the centre (-1, -4). Write down the coordinates of the image.
- 18th May 19617 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 19th May 1961A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 20th May 1961Write the recurring decimal 0.888... as a fraction in its simplest form.
- 21st May 1961Factorise x^2 - 2x - 35.
- 22nd May 1961A price rises by 15% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 23rd May 1961Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 1664 cm^3. Work out the volume of the smaller.
- 24th May 196121 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 25th May 1961A histogram class is 2 units wide and contains 3 values. Work out the frequency density.
- 26th May 1961Work out 64^(2/3).
- 27th May 1961Work out the equation of the line parallel to y = -3x - 3 that passes through (2, -9).
- 28th May 1961y is inversely proportional to x. When x = 9, y = 12. Work out y when x = 3.
- 29th May 1961A right-angled triangle has a hypotenuse of 25 cm and one shorter side of 7 cm. Work out the other shorter side.
- 30th May 19611 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 31st May 1961Four classes in order have frequencies 8, 4, 6, 10. Write down the cumulative frequency at the end of the third class.