Daily Practice · Higher
February 2014 - Higher 5-a-day
Every Higher sheet published in February 2014, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' February 2014 sheets in a single PDF, each tier behind its own divider page - 140 sheets in one file.
Every sheet in February 2014
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 2014y is directly proportional to x^2. When x = 2, y = 20. Work out y when x = 8.
- 2nd February 2014Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 384 cm^3. Work out the volume of the smaller.
- 3rd February 201418 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 4th February 201440 voles are marked and released. Later 16 are caught, of which 2 are marked. Estimate the population.
- 5th February 2014A bill is £864 including VAT at 20%. Work out the amount before VAT.
- 6th February 2014Work out the equation of the line parallel to y = 5x + 7 that passes through (5, 21).
- 7th February 2014y is directly proportional to x. When x = 4, y = 8. Work out y when x = 11.
- 8th February 2014A right-angled triangle has a hypotenuse of 17 cm and one shorter side of 8 cm. Work out the other shorter side.
- 9th February 20146 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 10th February 2014A cumulative frequency graph is drawn for 96 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 11th February 2014A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 12th February 2014A line has equation y = 2x + 7. Work out the gradient of any line perpendicular to it.
- 13th February 2014A town's population is 5500 and grows by 5% each year. Work out the population after 6 years, to the nearest whole number.
- 14th February 2014ABCD is a cyclic quadrilateral. Angle ABC is 112°. Work out angle ADC.
- 15th February 201420 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 16th February 2014A box plot has a minimum of 11 and a maximum of 63. Work out the range.
- 17th February 2014Work out (63 x 10^8) / (9 x 10^3). Give your answer in standard form.
- 18th February 2014For the curve y = 20/x, work out y when x = 5, and write down the equation of its vertical asymptote.
- 19th February 2014A block has volume 125 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 20th February 2014A, B and C are points on a circle with centre O. Angle AOC is 170°. Work out angle ABC, where B is on the major arc.
- 21st February 20144 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 22nd February 2014A box plot has minimum 10, lower quartile 12, median 17, upper quartile 26 and maximum 29. Work out the interquartile range.
- 23rd February 2014Write the recurring decimal 0.666... as a fraction in its simplest form.
- 24th February 2014Expand and simplify (x + 2)(x + 4)(x - 5).
- 25th February 2014x : y = 5 : 9. Write y in terms of x.
- 26th February 2014A cone has base radius 6 cm and vertical height 6 cm. Work out its volume, leaving your answer in terms of pi.
- 27th February 201417 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 28th February 2014A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.