Daily Practice · Higher
May 1999 - Higher 5-a-day
Every Higher sheet published in May 1999, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' May 1999 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 1999
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 1999Write the recurring decimal 0.444... as a fraction in its simplest form.
- 2nd May 1999Factorise x^2 - 121.
- 3rd May 1999A price rises by 15% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 4th May 1999A right-angled triangle has sides 10 cm, 24 cm and 26 cm. Work out the angle opposite the 10 cm side, to 1 decimal place.
- 5th May 199916 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 6th May 1999A histogram class is 5 units wide and contains 20 values. Work out the frequency density.
- 7th May 1999Work out 8^(2/3).
- 8th May 1999A region is defined by y < -2x - 6. Should the boundary line be solid or dashed, and why?
- 9th May 1999y is inversely proportional to x. When x = 8, y = 30. Work out y when x = 6.
- 10th May 1999The point (6, -1) is enlarged by scale factor -3 about the centre (4, -1). Write down the coordinates of the image.
- 11th May 19993 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 12th May 1999Four classes in order have frequencies 7, 6, 6, 12. Write down the cumulative frequency at the end of the third class.
- 13th May 1999Write sqrt(18) in the form a sqrt(b), where b is as small as possible.
- 14th May 1999Factorise x^2 - 14x + 45.
- 15th May 1999y is directly proportional to x^2. When x = 2, y = 8. Work out y when x = 3.
- 16th May 1999Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 88 cm^3. Work out the volume of the smaller.
- 17th May 199921 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 18th May 199910 fish are marked and released. Later 35 are caught, of which 5 are marked. Estimate the population.
- 19th May 1999A meal deal has 8 mains, 6 sides and 6 drinks. How many different meals are possible?
- 20th May 1999Work out the equation of the line parallel to y = -4x - 7 that passes through (6, -13).
- 21st May 1999y is directly proportional to x. When x = 4, y = 8. Work out y when x = 5.
- 22nd May 1999A right-angled triangle has a hypotenuse of 41 cm and one shorter side of 9 cm. Work out the other shorter side.
- 23rd May 19994 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 24th May 1999A cumulative frequency graph is drawn for 116 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 25th May 1999A mass is 190 kg, correct to the nearest 10. Write down the lower bound.
- 26th May 1999A line has equation y = -5x + 1. Work out the gradient of any line perpendicular to it.
- 27th May 1999A town's population is 22500 and grows by 4% each year. Work out the population after 5 years, to the nearest whole number.
- 28th May 1999ABCD is a cyclic quadrilateral. Angle ABC is 105°. Work out angle ADC.
- 29th May 199915 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 30th May 1999A box plot has a minimum of 11 and a maximum of 65. Work out the range.
- 31st May 1999Write 9^-2 as a fraction.