Daily Practice · Higher
July 2002 - Higher 5-a-day
Every Higher sheet published in July 2002, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' July 2002 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in July 2002
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st July 2002A cumulative frequency graph is drawn for 160 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 2nd July 2002Work out (9 x 10^6) x (8 x 10^-3). Give your answer in standard form.
- 3rd July 2002A region is defined by y <= 3x + 5. Should the boundary line be solid or dashed, and why?
- 4th July 2002A town's population is 15000 and grows by 4% each year. Work out the population after 6 years, to the nearest whole number.
- 5th July 2002The point (-6, -2) is enlarged by scale factor -1 about the centre (-2, -3). Write down the coordinates of the image.
- 6th July 20028 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 7th July 2002A box plot has a minimum of 16 and a maximum of 69. Work out the range.
- 8th July 2002Write the recurring decimal 0.1212... as a fraction in its simplest form.
- 9th July 2002Factorise x^2 - 2x - 35.
- 10th July 2002A block has volume 80 cm^3 and density 4 g/cm^3. Work out its mass.
- 11th July 2002Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 56 cm^3. Work out the volume of the smaller.
- 12th July 200214 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 13th July 2002A box plot has minimum 11, lower quartile 13, median 20, upper quartile 22 and maximum 25. Work out the interquartile range.
- 14th July 2002A bill is £744 including VAT at 20%. Work out the amount before VAT.
- 15th July 2002Work out the equation of the line parallel to y = 3x + 7 that passes through (2, 4).
- 16th July 2002x : y = 3 : 7. Write y in terms of x.
- 17th July 2002A right-angled triangle has a hypotenuse of 10 cm and one shorter side of 6 cm. Work out the other shorter side.
- 18th July 20023 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 19th July 2002A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 20th July 2002A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 21st July 2002A line has equation y = -4x + 5. Work out the gradient of any line perpendicular to it.
- 22nd July 2002A price rises by 25% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 23rd July 2002ABCD is a cyclic quadrilateral. Angle ABC is 87°. Work out angle ADC.
- 24th July 200226 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 25th July 2002A histogram class is 4 units wide and contains 2 values. Work out the frequency density.
- 26th July 2002Work out (54 x 10^9) / (9 x 10^3). Give your answer in standard form.
- 27th July 2002For the curve y = 16/x, work out y when x = 2, and write down the equation of its vertical asymptote.
- 28th July 2002y is inversely proportional to x. When x = 9, y = 6. Work out y when x = 6.
- 29th July 2002A, B and C are points on a circle with centre O. Angle AOC is 130°. Work out angle ABC, where B is on the major arc.
- 30th July 20022 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 31st July 2002Four classes in order have frequencies 4, 7, 8, 8. Write down the cumulative frequency at the end of the third class.