Daily Practice · Higher
May 1997 - Higher 5-a-day
Every Higher sheet published in May 1997, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' May 1997 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 1997
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 1997A town's population is 22000 and grows by 5% each year. Work out the population after 6 years, to the nearest whole number.
- 2nd May 1997A cone has base radius 8 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
- 3rd May 19979 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 4th May 1997A box plot has a minimum of 6 and a maximum of 59. Work out the range.
- 5th May 1997Write the recurring decimal 0.555... as a fraction in its simplest form.
- 6th May 1997Make x the subject of y = 8x^2 - 7.
- 7th May 1997A block has volume 90 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 8th May 1997In triangle ABC, angle A is 79°, angle B is 60° and side a is 11 cm. Use the sine rule to work out side b, to 1 decimal place.
- 9th May 19974 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 10th May 1997A box plot has minimum 11, lower quartile 21, median 23, upper quartile 30 and maximum 33. Work out the interquartile range.
- 11th May 1997Work out 25^(3/2).
- 12th May 1997Factorise x^2 - 4.
- 13th May 1997x : y = 5 : 9. Write y in terms of x.
- 14th May 1997A right-angled triangle has sides 5 cm, 12 cm and 13 cm. Work out the angle opposite the 5 cm side, to 1 decimal place.
- 15th May 199718 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 16th May 1997A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 17th May 1997Write sqrt(12) in the form a sqrt(b), where b is as small as possible.
- 18th May 1997A region is defined by y < -5x + 8. Should the boundary line be solid or dashed, and why?
- 19th May 1997A price rises by 25% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 20th May 1997The point (5, 0) is enlarged by scale factor -1 about the centre (3, -4). Write down the coordinates of the image.
- 21st May 19974 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 22nd May 1997A histogram class is 10 units wide and contains 30 values. Work out the frequency density.
- 23rd May 1997A meal deal has 6 mains, 4 sides and 3 drinks. How many different meals are possible?
- 24th May 1997Factorise x^2 - 14x + 48.
- 25th May 1997y is inversely proportional to x. When x = 3, y = 30. Work out y when x = 6.
- 26th May 1997Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 918 cm^3. Work out the volume of the smaller.
- 27th May 199725 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 28th May 1997Four classes in order have frequencies 3, 10, 6, 5. Write down the cumulative frequency at the end of the third class.
- 29th May 1997A mass is 16.3 kg, correct to 1 decimal place. Write down the upper bound.
- 30th May 1997Work out the equation of the line parallel to y = -2x - 7 that passes through (4, -4).
- 31st May 1997y is directly proportional to x^2. When x = 6, y = 288. Work out y when x = 4.