Daily Practice · Higher
May 1989 5-a-day
Printing for a group?
The batch download puts all 5 tiers' May 1989 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 1989
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 1989A price rises by 25% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 2nd May 1989In triangle ABC, angle A is 72°, angle B is 41° and side a is 8 cm. Use the sine rule to work out side b, to 1 decimal place.
- 3rd May 19894 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 4th May 1989A histogram class is 10 units wide and contains 25 values. Work out the frequency density.
- 5th May 1989A bill is £576 including VAT at 20%. Work out the amount before VAT.
- 6th May 1989Factorise x^2 - 9.
- 7th May 1989y is inversely proportional to x. When x = 2, y = 20. Work out y when x = 5.
- 8th May 1989A 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.
- 9th May 198919 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 10th May 1989Four classes in order have frequencies 8, 7, 6, 11. Write down the cumulative frequency at the end of the third class.
- 11th May 1989A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 12th May 1989A region is defined by y < -4x - 6. Should the boundary line be solid or dashed, and why?
- 13th May 1989y is directly proportional to x^2. When x = 6, y = 216. Work out y when x = 7.
- 14th May 1989The point (3, 5) is enlarged by scale factor -3 about the centre (-1, -1). Write down the coordinates of the image.
- 15th May 19896 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 16th May 198910 fish are marked and released. Later 18 are caught, of which 6 are marked. Estimate the population.
- 17th May 1989Work out (6 x 10^12) / (2 x 10^3). Give your answer in standard form.
- 18th May 1989Factorise x^2 - 11x + 28.
- 19th May 1989y is directly proportional to x. When x = 2, y = 10. Work out y when x = 11.
- 20th May 1989Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 351 cm^3. Work out the volume of the smaller.
- 21st May 198924 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 22nd May 1989A cumulative frequency graph is drawn for 136 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 23rd May 1989Write the recurring decimal 0.555... as a fraction in its simplest form.
- 24th May 1989Work out the equation of the line parallel to y = -2x + 1 that passes through (2, -11).
- 25th May 1989A town's population is 39500 and grows by 4% each year. Work out the population after 5 years, to the nearest whole number.
- 26th May 1989A right-angled triangle has a hypotenuse of 25 cm and one shorter side of 24 cm. Work out the other shorter side.
- 27th May 19897 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 28th May 1989A box plot has a minimum of 8 and a maximum of 65. Work out the range.
- 29th May 1989Work out 81^(3/2).
- 30th May 1989A line has equation y = 2x + 4. Work out the gradient of any line perpendicular to it.
- 31st May 1989A block has volume 170 cm^3 and density 4 g/cm^3. Work out its mass.