Daily Practice · Higher
May 1953 5-a-day
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The batch download puts all 5 tiers' May 1953 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 1953
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 1953A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 2nd May 1953Write 5^-3 as a fraction.
- 3rd May 1953Factorise x^2 - 4.
- 4th May 1953A price rises by 15% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 5th May 1953A 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.
- 6th May 195322 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 7th May 1953A histogram class is 10 units wide and contains 20 values. Work out the frequency density.
- 8th May 1953Work out (2 x 10^8) x (4 x 10^-3). Give your answer in standard form.
- 9th May 1953A region is defined by y <= -4x - 8. Should the boundary line be solid or dashed, and why?
- 10th May 1953y is inversely proportional to x. When x = 7, y = 60. Work out y when x = 12.
- 11th May 1953The point (-3, 2) is enlarged by scale factor -1 about the centre (-2, -2). Write down the coordinates of the image.
- 12th May 19538 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 13th May 1953Four classes in order have frequencies 8, 6, 4, 3. Write down the cumulative frequency at the end of the third class.
- 14th May 1953Write the recurring decimal 0.8282... as a fraction in its simplest form.
- 15th May 1953Factorise x^2 + 9x + 14.
- 16th May 1953y is directly proportional to x^2. When x = 2, y = 12. Work out y when x = 7.
- 17th May 1953Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 540 cm^3. Work out the volume of the smaller.
- 18th May 195313 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 19th May 195340 newts are marked and released. Later 90 are caught, of which 9 are marked. Estimate the population.
- 20th May 1953A bill is £768 including VAT at 20%. Work out the amount before VAT.
- 21st May 1953Work out the equation of the line parallel to y = -4x - 1 that passes through (4, -10).
- 22nd May 1953y is directly proportional to x. When x = 2, y = 22. Work out y when x = 15.
- 23rd May 1953A right-angled triangle has a hypotenuse of 25 cm and one shorter side of 7 cm. Work out the other shorter side.
- 24th May 19533 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 25th May 1953A cumulative frequency graph is drawn for 120 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 26th May 1953A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 27th May 1953A line has equation y = -5x + 3. Work out the gradient of any line perpendicular to it.
- 28th May 1953A town's population is 38500 and grows by 3% each year. Work out the population after 6 years, to the nearest whole number.
- 29th May 1953ABCD is a cyclic quadrilateral. Angle ABC is 110°. Work out angle ADC.
- 30th May 195330 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 31st May 1953A box plot has a minimum of 10 and a maximum of 33. Work out the range.