Daily Practice · Higher
May 1995 - Higher 5-a-day
Printing for a group?
The batch download puts all 5 tiers' May 1995 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 1995
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 1995ABCD is a cyclic quadrilateral. Angle ABC is 67°. Work out angle ADC.
- 2nd May 199522 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 3rd May 1995Four classes in order have frequencies 4, 4, 10, 8. Write down the cumulative frequency at the end of the third class.
- 4th May 1995Work out (30 x 10^12) / (6 x 10^5). Give your answer in standard form.
- 5th May 1995For the curve y = 4/x, work out y when x = -2, and write down the equation of its vertical asymptote.
- 6th May 1995y is directly proportional to x^2. When x = 6, y = 144. Work out y when x = 3.
- 7th May 1995A, B and C are points on a circle with centre O. Angle AOC is 158°. Work out angle ABC, where B is on the major arc.
- 8th May 19954 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 9th May 199545 fish are marked and released. Later 72 are caught, of which 6 are marked. Estimate the population.
- 10th May 1995Write the recurring decimal 0.555... as a fraction in its simplest form.
- 11th May 1995Expand and simplify (x + 1)(x + 4)(x + 1).
- 12th May 1995y is directly proportional to x. When x = 3, y = 9. Work out y when x = 12.
- 13th May 1995A cone has base radius 8 cm and vertical height 6 cm. Work out its volume, leaving your answer in terms of pi.
- 14th May 199515 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 15th May 1995A cumulative frequency graph is drawn for 132 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 16th May 1995Work out 100^(3/2).
- 17th May 1995Make x the subject of y = 3x^2 - 11.
- 18th May 1995A town's population is 12500 and grows by 4% each year. Work out the population after 3 years, to the nearest whole number.
- 19th May 1995In triangle ABC, angle A is 40°, angle B is 66° and side a is 5 cm. Use the sine rule to work out side b, to 1 decimal place.
- 20th May 19956 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 21st May 1995A box plot has a minimum of 13 and a maximum of 40. Work out the range.
- 22nd May 1995Write sqrt(8) in the form a sqrt(b), where b is as small as possible.
- 23rd May 1995Factorise x^2 - 9.
- 24th May 1995A block has volume 190 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 25th May 1995A 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.
- 26th May 199517 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 27th May 1995A box plot has minimum 2, lower quartile 8, median 11, upper quartile 16 and maximum 22. Work out the interquartile range.
- 28th May 1995A meal deal has 9 mains, 6 sides and 2 drinks. How many different meals are possible?
- 29th May 1995A region is defined by y <= -2x + 2. Should the boundary line be solid or dashed, and why?
- 30th May 1995x : y = 2 : 7. Write y in terms of x.
- 31st May 1995The point (-1, 4) is enlarged by scale factor -2 about the centre (2, -4). Write down the coordinates of the image.