Daily Practice · Higher
May 2004 - Higher 5-a-day
Every Higher sheet published in May 2004, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' May 2004 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 2004
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 2004A right-angled triangle has sides 9 cm, 12 cm and 15 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
- 2nd May 200428 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 3rd May 2004A cumulative frequency graph is drawn for 208 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 4th May 2004A bill is £768 including VAT at 20%. Work out the amount before VAT.
- 5th May 2004A region is defined by y < x + 7. Should the boundary line be solid or dashed, and why?
- 6th May 2004A town's population is 21000 and grows by 8% each year. Work out the population after 2 years, to the nearest whole number.
- 7th May 2004The point (5, -6) is enlarged by scale factor -3 about the centre (-3, 2). Write down the coordinates of the image.
- 8th May 20043 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 9th May 2004A box plot has a minimum of 6 and a maximum of 31. Work out the range.
- 10th May 2004A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 11th May 2004Factorise x^2 + 11x + 28.
- 12th May 2004A block has volume 90 cm^3 and density 11 g/cm^3. Work out its mass.
- 13th May 2004Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 459 cm^3. Work out the volume of the smaller.
- 14th May 20047 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 15th May 2004A box plot has minimum 8, lower quartile 18, median 26, upper quartile 29 and maximum 38. Work out the interquartile range.
- 16th May 2004Work out (81 x 10^8) / (9 x 10^2). Give your answer in standard form.
- 17th May 2004Work out the equation of the line parallel to y = 3x + 8 that passes through (3, 13).
- 18th May 2004x : y = 3 : 5. Write y in terms of x.
- 19th May 2004A right-angled triangle has a hypotenuse of 25 cm and one shorter side of 7 cm. Work out the other shorter side.
- 20th May 20042 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 21st May 2004A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 22nd May 2004Write the recurring decimal 0.333... as a fraction in its simplest form.
- 23rd May 2004A line has equation y = -3x + 1. Work out the gradient of any line perpendicular to it.
- 24th May 2004A price rises by 25% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 25th May 2004ABCD is a cyclic quadrilateral. Angle ABC is 83°. Work out angle ADC.
- 26th May 200422 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 27th May 2004A histogram class is 5 units wide and contains 12.5 values. Work out the frequency density.
- 28th May 2004Work out 8^(2/3).
- 29th May 2004For the curve y = -50/x, work out y when x = -5, and write down the equation of its vertical asymptote.
- 30th May 2004y is inversely proportional to x. When x = 5, y = 24. Work out y when x = 4.
- 31st May 2004A, B and C are points on a circle with centre O. Angle AOC is 162°. Work out angle ABC, where B is on the major arc.