Daily Practice · Higher
April 1955 5-a-day
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The batch download puts all 5 tiers' April 1955 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 1955
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 1955ABCD is a cyclic quadrilateral. Angle ABC is 58°. Work out angle ADC.
- 2nd April 195527 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 3rd April 1955A box plot has a minimum of 17 and a maximum of 51. Work out the range.
- 4th April 1955Work out 81^(3/2).
- 5th April 1955For the curve y = -20/x, work out y when x = -4, and write down the equation of its vertical asymptote.
- 6th April 1955A block has volume 175 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 7th April 1955A, B and C are points on a circle with centre O. Angle AOC is 62°. Work out angle ABC, where B is on the major arc.
- 8th April 19553 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 9th April 1955A box plot has minimum 5, lower quartile 11, median 17, upper quartile 20 and maximum 24. Work out the interquartile range.
- 10th April 1955Write sqrt(98) in the form a sqrt(b), where b is as small as possible.
- 11th April 1955Expand and simplify (x + 2)(x + 2)(x - 1).
- 12th April 1955x : y = 5 : 7. Write y in terms of x.
- 13th April 1955A cone has base radius 5 cm and vertical height 3 cm. Work out its volume, leaving your answer in terms of pi.
- 14th April 195510 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 15th April 1955A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 16th April 1955A meal deal has 3 mains, 5 sides and 3 drinks. How many different meals are possible?
- 17th April 1955Make x the subject of y = 6x^2 - 6.
- 18th April 1955A price rises by 15% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 19th April 1955In triangle ABC, angle A is 66°, angle B is 83° and side a is 7 cm. Use the sine rule to work out side b, to 1 decimal place.
- 20th April 19553 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 21st April 1955A histogram class is 20 units wide and contains 10 values. Work out the frequency density.
- 22nd April 1955A mass is 65 kg, correct to the nearest whole number. Write down the upper bound.
- 23rd April 1955Factorise x^2 - 36.
- 24th April 1955y is inversely proportional to x. When x = 6, y = 16. Work out y when x = 4.
- 25th April 1955A right-angled triangle has sides 5 cm, 12 cm and 13 cm. Work out the angle opposite the 5 cm side, to 1 decimal place.
- 26th April 195521 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 27th April 1955Four classes in order have frequencies 9, 6, 5, 11. Write down the cumulative frequency at the end of the third class.
- 28th April 1955Write 7^-3 as a fraction.
- 29th April 1955A region is defined by y < 2x - 3. Should the boundary line be solid or dashed, and why?
- 30th April 1955y is directly proportional to x^2. When x = 3, y = 63. Work out y when x = 6.