Daily Practice · Higher
May 1998 - Higher 5-a-day
Every Higher sheet published in May 1998, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' May 1998 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 1998
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 1998Work out the equation of the line parallel to y = 5x + 9 that passes through (5, 28).
- 2nd May 1998y is directly proportional to x^2. When x = 6, y = 144. Work out y when x = 7.
- 3rd May 1998A right-angled triangle has a hypotenuse of 5 cm and one shorter side of 3 cm. Work out the other shorter side.
- 4th May 19986 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 5th May 199845 newts are marked and released. Later 63 are caught, of which 7 are marked. Estimate the population.
- 6th May 1998Work out (5 x 10^6) x (8 x 10^-4). Give your answer in standard form.
- 7th May 1998A line has equation y = -4x + 5. Work out the gradient of any line perpendicular to it.
- 8th May 1998y is directly proportional to x. When x = 2, y = 14. Work out y when x = 11.
- 9th May 1998ABCD is a cyclic quadrilateral. Angle ABC is 88°. Work out angle ADC.
- 10th May 199818 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 11th May 1998A cumulative frequency graph is drawn for 40 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 12th May 1998Write the recurring decimal 0.3535... as a fraction in its simplest form.
- 13th May 1998For the curve y = 7/x, work out y when x = 1, and write down the equation of its vertical asymptote.
- 14th May 1998A town's population is 34500 and grows by 6% each year. Work out the population after 5 years, to the nearest whole number.
- 15th May 1998A, B and C are points on a circle with centre O. Angle AOC is 128°. Work out angle ABC, where B is on the major arc.
- 16th May 19984 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 17th May 1998A box plot has a minimum of 12 and a maximum of 27. Work out the range.
- 18th May 1998A bill is £192 including VAT at 20%. Work out the amount before VAT.
- 19th May 1998Expand and simplify (x + 5)(x + 5)(x + 1).
- 20th May 1998A block has volume 110 cm^3 and density 11 g/cm^3. Work out its mass.
- 21st May 1998A cone has base radius 4 cm and vertical height 12 cm. Work out its volume, leaving your answer in terms of pi.
- 22nd May 199823 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 23rd May 1998A box plot has minimum 11, lower quartile 17, median 25, upper quartile 31 and maximum 41. Work out the interquartile range.
- 24th May 1998A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 25th May 1998Make x the subject of y = 4x^2 - 3.
- 26th May 1998x : y = 2 : 7. Write y in terms of x.
- 27th May 1998In triangle ABC, angle A is 76°, angle B is 60° and side a is 5 cm. Use the sine rule to work out side b, to 1 decimal place.
- 28th May 19982 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 29th May 1998A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 30th May 1998Work out (12 x 10^9) / (3 x 10^4). Give your answer in standard form.
- 31st May 1998Factorise x^2 - 144.