Daily Practice · Higher
March 1960 5-a-day
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The batch download puts all 5 tiers' March 1960 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 1960
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 196015 fish are marked and released. Later 45 are caught, of which 5 are marked. Estimate the population.
- 2nd March 1960A meal deal has 4 mains, 7 sides and 2 drinks. How many different meals are possible?
- 3rd March 1960Factorise x^2 - 100.
- 4th March 1960y is directly proportional to x. When x = 4, y = 24. Work out y when x = 5.
- 5th March 1960A 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.
- 6th March 196015 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 7th March 1960A cumulative frequency graph is drawn for 160 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 8th March 1960A mass is 90 kg, correct to the nearest 10. Write down the upper bound.
- 9th March 1960A region is defined by y < -5x + 2. Should the boundary line be solid or dashed, and why?
- 10th March 1960A town's population is 11500 and grows by 4% each year. Work out the population after 5 years, to the nearest whole number.
- 11th March 1960The point (2, 3) is enlarged by scale factor -1 about the centre (-1, -3). Write down the coordinates of the image.
- 12th March 19605 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 13th March 1960A box plot has a minimum of 7 and a maximum of 17. Work out the range.
- 14th March 1960Write 4^-2 as a fraction.
- 15th March 1960Factorise x^2 + 13x + 36.
- 16th March 1960A block has volume 35 cm^3 and density 4 g/cm^3. Work out its mass.
- 17th March 1960Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 112 cm^3. Work out the volume of the smaller.
- 18th March 196017 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 19th March 1960A box plot has minimum 5, lower quartile 11, median 18, upper quartile 20 and maximum 26. Work out the interquartile range.
- 20th March 1960Work out (3 x 10^5) x (8 x 10^-3). Give your answer in standard form.
- 21st March 1960Work out the equation of the line parallel to y = 3x - 8 that passes through (5, 11).
- 22nd March 1960x : y = 7 : 9. Write y in terms of x.
- 23rd March 1960A right-angled triangle has a hypotenuse of 26 cm and one shorter side of 24 cm. Work out the other shorter side.
- 24th March 19608 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 25th March 1960A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 26th March 1960Write the recurring decimal 0.2020... as a fraction in its simplest form.
- 27th March 1960A line has equation y = -2x + 8. Work out the gradient of any line perpendicular to it.
- 28th March 1960A price rises by 25% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 29th March 1960ABCD is a cyclic quadrilateral. Angle ABC is 109°. Work out angle ADC.
- 30th March 196019 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 31st March 1960A histogram class is 4 units wide and contains 6 values. Work out the frequency density.