Daily Practice · Higher
July 2013 - Higher 5-a-day
Every Higher sheet published in July 2013, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' July 2013 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in July 2013
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st July 2013A cone has base radius 9 cm and vertical height 12 cm. Work out its volume, leaving your answer in terms of pi.
- 2nd July 201326 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 3rd July 2013Four classes in order have frequencies 7, 5, 3, 3. Write down the cumulative frequency at the end of the third class.
- 4th July 2013Write 5^-2 as a fraction.
- 5th July 2013Make x the subject of y = 8x^2 - 5.
- 6th July 2013y is directly proportional to x^2. When x = 6, y = 216. Work out y when x = 2.
- 7th July 2013In triangle ABC, angle A is 79°, angle B is 35° and side a is 12 cm. Use the sine rule to work out side b, to 1 decimal place.
- 8th July 20134 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 9th July 201335 beetles are marked and released. Later 56 are caught, of which 8 are marked. Estimate the population.
- 10th July 2013Work out (3 x 10^4) x (2 x 10^-2). Give your answer in standard form.
- 11th July 2013Factorise x^2 - 9.
- 12th July 2013y is directly proportional to x. When x = 4, y = 16. Work out y when x = 12.
- 13th July 2013A right-angled triangle has sides 9 cm, 12 cm and 15 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
- 14th July 201322 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 15th July 2013A cumulative frequency graph is drawn for 180 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 16th July 2013Write the recurring decimal 0.3535... as a fraction in its simplest form.
- 17th July 2013A region is defined by y < 3x + 9. Should the boundary line be solid or dashed, and why?
- 18th July 2013A town's population is 17500 and grows by 4% each year. Work out the population after 3 years, to the nearest whole number.
- 19th July 2013The point (-6, -1) is enlarged by scale factor -3 about the centre (0, 0). Write down the coordinates of the image.
- 20th July 20133 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 21st July 2013A box plot has a minimum of 19 and a maximum of 58. Work out the range.
- 22nd July 2013A bill is £624 including VAT at 20%. Work out the amount before VAT.
- 23rd July 2013Factorise x^2 - 13x + 42.
- 24th July 2013A block has volume 45 cm^3 and density 4 g/cm^3. Work out its mass.
- 25th July 2013Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 567 cm^3. Work out the volume of the smaller.
- 26th July 201322 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 27th July 2013A box plot has minimum 2, lower quartile 10, median 15, upper quartile 18 and maximum 24. Work out the interquartile range.
- 28th July 2013A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 29th July 2013Work out the equation of the line parallel to y = -x - 2 that passes through (3, -5).
- 30th July 2013x : y = 5 : 8. Write y in terms of x.
- 31st July 2013A right-angled triangle has a hypotenuse of 5 cm and one shorter side of 3 cm. Work out the other shorter side.