Daily Practice · Higher
June 2014 - Higher 5-a-day
Every Higher sheet published in June 2014, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' June 2014 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in June 2014
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 2014y is inversely proportional to x. When x = 8, y = 24. Work out y when x = 12.
- 2nd June 2014A cone has base radius 4 cm and vertical height 3 cm. Work out its volume, leaving your answer in terms of pi.
- 3rd June 201416 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 4th June 2014Four classes in order have frequencies 12, 8, 11, 6. Write down the cumulative frequency at the end of the third class.
- 5th June 2014Work out (5 x 10^5) x (3 x 10^-3). Give your answer in standard form.
- 6th June 2014Make x the subject of y = 6x^2 - 2.
- 7th June 2014y is directly proportional to x^2. When x = 4, y = 64. Work out y when x = 2.
- 8th June 2014In triangle ABC, angle A is 47°, angle B is 34° and side a is 9 cm. Use the sine rule to work out side b, to 1 decimal place.
- 9th June 20141 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 10th June 201450 voles are marked and released. Later 84 are caught, of which 7 are marked. Estimate the population.
- 11th June 2014Write the recurring decimal 0.4444... as a fraction in its simplest form.
- 12th June 2014Factorise x^2 - 64.
- 13th June 2014y is directly proportional to x. When x = 9, y = 36. Work out y when x = 10.
- 14th June 2014A 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.
- 15th June 201427 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 16th June 2014A cumulative frequency graph is drawn for 232 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 17th June 2014A bill is £120 including VAT at 20%. Work out the amount before VAT.
- 18th June 2014A region is defined by y < 2x + 7. Should the boundary line be solid or dashed, and why?
- 19th June 2014A town's population is 25500 and grows by 8% each year. Work out the population after 6 years, to the nearest whole number.
- 20th June 2014The point (-6, 6) is enlarged by scale factor -2 about the centre (3, 4). Write down the coordinates of the image.
- 21st June 20143 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 22nd June 2014A box plot has a minimum of 6 and a maximum of 52. Work out the range.
- 23rd June 2014A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 24th June 2014Factorise x^2 - 11x + 18.
- 25th June 2014A block has volume 140 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 26th June 2014Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 576 cm^3. Work out the volume of the smaller.
- 27th June 201425 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 28th June 2014A box plot has minimum 13, lower quartile 22, median 28, upper quartile 37 and maximum 45. Work out the interquartile range.
- 29th June 2014Work out (24 x 10^7) / (6 x 10^4). Give your answer in standard form.
- 30th June 2014Work out the equation of the line parallel to y = -3x - 7 that passes through (6, -16).