Daily Practice · Higher
July 1997 - Higher 5-a-day
Every Higher sheet published in July 1997, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' July 1997 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in July 1997
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st July 1997A right-angled triangle has sides 8 cm, 15 cm and 17 cm. Work out the angle opposite the 8 cm side, to 1 decimal place.
- 2nd July 199725 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 July 1997A histogram class is 5 units wide and contains 15 values. Work out the frequency density.
- 4th July 1997Work out (36 x 10^9) / (4 x 10^2). Give your answer in standard form.
- 5th July 1997A region is defined by y < -x + 6. Should the boundary line be solid or dashed, and why?
- 6th July 1997y is inversely proportional to x. When x = 7, y = 12. Work out y when x = 3.
- 7th July 1997The point (0, 0) is enlarged by scale factor -3 about the centre (-1, 3). Write down the coordinates of the image.
- 8th July 19974 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 9th July 1997Four classes in order have frequencies 9, 9, 12, 3. Write down the cumulative frequency at the end of the third class.
- 10th July 1997Write the recurring decimal 0.333... as a fraction in its simplest form.
- 11th July 1997Factorise x^2 - 49.
- 12th July 1997y is directly proportional to x^2. When x = 5, y = 225. Work out y when x = 7.
- 13th July 1997Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 81 cm^3. Work out the volume of the smaller.
- 14th July 199721 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 15th July 199720 fish are marked and released. Later 35 are caught, of which 5 are marked. Estimate the population.
- 16th July 1997Work out 100^(3/2).
- 17th July 1997Work out the equation of the line parallel to y = 5x + 8 that passes through (4, 31).
- 18th July 1997y is directly proportional to x. When x = 9, y = 36. Work out y when x = 7.
- 19th July 1997A right-angled triangle has a hypotenuse of 25 cm and one shorter side of 7 cm. Work out the other shorter side.
- 20th July 19975 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 21st July 1997A cumulative frequency graph is drawn for 240 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 22nd July 1997Write sqrt(98) in the form a sqrt(b), where b is as small as possible.
- 23rd July 1997A line has equation y = 2x + 2. Work out the gradient of any line perpendicular to it.
- 24th July 1997A town's population is 23000 and grows by 4% each year. Work out the population after 5 years, to the nearest whole number.
- 25th July 1997ABCD is a cyclic quadrilateral. Angle ABC is 59°. Work out angle ADC.
- 26th July 199732 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 27th July 1997A box plot has a minimum of 20 and a maximum of 36. Work out the range.
- 28th July 1997A meal deal has 4 mains, 7 sides and 5 drinks. How many different meals are possible?
- 29th July 1997For the curve y = 16/x, work out y when x = 2, and write down the equation of its vertical asymptote.
- 30th July 1997A block has volume 100 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 31st July 1997A, B and C are points on a circle with centre O. Angle AOC is 82°. Work out angle ABC, where B is on the major arc.