Daily Practice · Higher
May 1960 5-a-day
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The batch download puts all 5 tiers' May 1960 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 1960
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 1960Write sqrt(12) in the form a sqrt(b), where b is as small as possible.
- 2nd May 1960Factorise x^2 + 4x - 21.
- 3rd May 1960x : y = 2 : 3. Write y in terms of x.
- 4th May 1960Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 192 cm^3. Work out the volume of the smaller.
- 5th May 196026 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 6th May 1960A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 7th May 1960A meal deal has 9 mains, 5 sides and 5 drinks. How many different meals are possible?
- 8th May 1960Work out the equation of the line parallel to y = -2x - 3 that passes through (6, -19).
- 9th May 1960A price rises by 25% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 10th May 1960A right-angled triangle has a hypotenuse of 17 cm and one shorter side of 15 cm. Work out the other shorter side.
- 11th May 19605 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 12th May 1960A histogram class is 5 units wide and contains 12.5 values. Work out the frequency density.
- 13th May 1960A mass is 45 kg, correct to the nearest whole number. Write down the lower bound.
- 14th May 1960A line has equation y = -4x + 9. Work out the gradient of any line perpendicular to it.
- 15th May 1960y is inversely proportional to x. When x = 3, y = 12. Work out y when x = 6.
- 16th May 1960ABCD is a cyclic quadrilateral. Angle ABC is 104°. Work out angle ADC.
- 17th May 196018 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 18th May 1960Four classes in order have frequencies 8, 3, 9, 5. Write down the cumulative frequency at the end of the third class.
- 19th May 1960Write 2^-1 as a fraction.
- 20th May 1960For the curve y = -50/x, work out y when x = -10, and write down the equation of its vertical asymptote.
- 21st May 1960y is directly proportional to x^2. When x = 6, y = 252. Work out y when x = 3.
- 22nd May 1960A, B and C are points on a circle with centre O. Angle AOC is 86°. Work out angle ABC, where B is on the major arc.
- 23rd May 19607 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 24th May 196015 beetles are marked and released. Later 8 are caught, of which 2 are marked. Estimate the population.
- 25th May 1960Work out (5 x 10^7) x (2 x 10^2). Give your answer in standard form.
- 26th May 1960Expand and simplify (x - 5)(x - 4)(x + 2).
- 27th May 1960y is directly proportional to x. When x = 3, y = 36. Work out y when x = 10.
- 28th May 1960A cone has base radius 6 cm and vertical height 21 cm. Work out its volume, leaving your answer in terms of pi.
- 29th May 196019 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 30th May 1960A cumulative frequency graph is drawn for 124 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 31st May 1960Write the recurring decimal 0.7575... as a fraction in its simplest form.