Daily Practice · Higher
February 1953 5-a-day
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The batch download puts all 5 tiers' February 1953 sheets in a single PDF, each tier behind its own divider page - 140 sheets in one file.
Every sheet in February 1953
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 1953Work out 100^(3/2).
- 2nd February 1953A region is defined by y <= -3x - 2. Should the boundary line be solid or dashed, and why?
- 3rd February 1953x : y = 5 : 6. Write y in terms of x.
- 4th February 1953The point (-4, 6) is enlarged by scale factor -2 about the centre (-3, 0). Write down the coordinates of the image.
- 5th February 19538 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 6th February 1953A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 7th February 1953Write sqrt(50) in the form a sqrt(b), where b is as small as possible.
- 8th February 1953Factorise x^2 - 5x - 14.
- 9th February 1953A price rises by 10% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 10th February 1953Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 864 cm^3. Work out the volume of the smaller.
- 11th February 195318 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 12th February 1953A histogram class is 10 units wide and contains 20 values. Work out the frequency density.
- 13th February 1953A meal deal has 4 mains, 5 sides and 6 drinks. How many different meals are possible?
- 14th February 1953Work out the equation of the line parallel to y = 4x + 9 that passes through (1, 9).
- 15th February 1953y is inversely proportional to x. When x = 2, y = 20. Work out y when x = 4.
- 16th February 1953A right-angled triangle has a hypotenuse of 41 cm and one shorter side of 9 cm. Work out the other shorter side.
- 17th February 19532 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 18th February 1953Four classes in order have frequencies 9, 11, 6, 12. Write down the cumulative frequency at the end of the third class.
- 19th February 1953A mass is 9.3 kg, correct to 1 decimal place. Write down the lower bound.
- 20th February 1953A line has equation y = 3x + 9. Work out the gradient of any line perpendicular to it.
- 21st February 1953y is directly proportional to x^2. When x = 6, y = 252. Work out y when x = 4.
- 22nd February 1953ABCD is a cyclic quadrilateral. Angle ABC is 102°. Work out angle ADC.
- 23rd February 195323 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 24th February 195335 fish are marked and released. Later 48 are caught, of which 4 are marked. Estimate the population.
- 25th February 1953Write 4^-2 as a fraction.
- 26th February 1953For the curve y = 12/x, work out y when x = 2, and write down the equation of its vertical asymptote.
- 27th February 1953y is directly proportional to x. When x = 7, y = 84. Work out y when x = 5.
- 28th February 1953A, B and C are points on a circle with centre O. Angle AOC is 126°. Work out angle ABC, where B is on the major arc.