Daily Practice · Higher
May 1954 5-a-day
Printing for a group?
The batch download puts all 5 tiers' May 1954 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 1954
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 195427 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 2nd May 1954A box plot has a minimum of 4 and a maximum of 35. Work out the range.
- 3rd May 1954Write the recurring decimal 0.444... as a fraction in its simplest form.
- 4th May 1954For the curve y = -50/x, work out y when x = 10, and write down the equation of its vertical asymptote.
- 5th May 1954A block has volume 95 cm^3 and density 4 g/cm^3. Work out its mass.
- 6th May 1954A, B and C are points on a circle with centre O. Angle AOC is 134°. Work out angle ABC, where B is on the major arc.
- 7th May 19542 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 8th May 1954A box plot has minimum 6, lower quartile 16, median 24, upper quartile 31 and maximum 34. Work out the interquartile range.
- 9th May 1954Work out 64^(2/3).
- 10th May 1954Expand and simplify (x - 4)(x - 2)(x + 2).
- 11th May 1954x : y = 2 : 9. Write y in terms of x.
- 12th May 1954A cone has base radius 6 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 13th May 195426 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 14th May 1954A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 15th May 1954Write sqrt(48) in the form a sqrt(b), where b is as small as possible.
- 16th May 1954Make x the subject of y = 8x^2 - 10.
- 17th May 1954A price rises by 25% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 18th May 1954In triangle ABC, angle A is 37°, angle B is 69° and side a is 10 cm. Use the sine rule to work out side b, to 1 decimal place.
- 19th May 19541 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 20th May 1954A histogram class is 2 units wide and contains 3 values. Work out the frequency density.
- 21st May 1954A meal deal has 6 mains, 9 sides and 2 drinks. How many different meals are possible?
- 22nd May 1954Factorise x^2 - 121.
- 23rd May 1954y is inversely proportional to x. When x = 5, y = 4. Work out y when x = 2.
- 24th May 1954A right-angled triangle has sides 10 cm, 24 cm and 26 cm. Work out the angle opposite the 10 cm side, to 1 decimal place.
- 25th May 195422 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 26th May 1954Four classes in order have frequencies 7, 9, 5, 3. Write down the cumulative frequency at the end of the third class.
- 27th May 1954A mass is 29.7 kg, correct to 1 decimal place. Write down the upper bound.
- 28th May 1954A region is defined by y < -5x + 8. Should the boundary line be solid or dashed, and why?
- 29th May 1954y is directly proportional to x^2. When x = 2, y = 28. Work out y when x = 8.
- 30th May 1954The point (-3, 5) is enlarged by scale factor -3 about the centre (2, -1). Write down the coordinates of the image.
- 31st May 19541 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.