Daily Practice · Higher
March 2016 - Higher 5-a-day
Every Higher sheet published in March 2016, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' March 2016 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 2016
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 201650 beetles are marked and released. Later 20 are caught, of which 2 are marked. Estimate the population.
- 2nd March 2016Write sqrt(27) in the form a sqrt(b), where b is as small as possible.
- 3rd March 2016A region is defined by y < 2x + 8. Should the boundary line be solid or dashed, and why?
- 4th March 2016y is directly proportional to x. When x = 3, y = 12. Work out y when x = 4.
- 5th March 2016The point (0, -3) is enlarged by scale factor -1 about the centre (4, -3). Write down the coordinates of the image.
- 6th March 20162 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 7th March 2016A cumulative frequency graph is drawn for 104 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 8th March 2016A meal deal has 9 mains, 9 sides and 4 drinks. How many different meals are possible?
- 9th March 2016Factorise x^2 - 9x + 14.
- 10th March 2016A town's population is 9000 and grows by 4% each year. Work out the population after 4 years, to the nearest whole number.
- 11th March 2016Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 216 cm^3. Work out the volume of the smaller.
- 12th March 201616 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 13th March 2016A box plot has a minimum of 4 and a maximum of 51. Work out the range.
- 14th March 2016A mass is 49 kg, correct to the nearest whole number. Write down the lower bound.
- 15th March 2016Work out the equation of the line parallel to y = 2x - 9 that passes through (2, -1).
- 16th March 2016A block has volume 120 cm^3 and density 4 g/cm^3. Work out its mass.
- 17th March 2016A right-angled triangle has a hypotenuse of 10 cm and one shorter side of 6 cm. Work out the other shorter side.
- 18th March 20163 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 19th March 2016A box plot has minimum 3, lower quartile 5, median 12, upper quartile 16 and maximum 23. Work out the interquartile range.
- 20th March 2016Write 8^-1 as a fraction.
- 21st March 2016A line has equation y = -5x + 8. Work out the gradient of any line perpendicular to it.
- 22nd March 2016x : y = 2 : 3. Write y in terms of x.
- 23rd March 2016ABCD is a cyclic quadrilateral. Angle ABC is 121°. Work out angle ADC.
- 24th March 201617 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 25th March 2016A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 26th March 2016Work out (9 x 10^4) x (5 x 10^6). Give your answer in standard form.
- 27th March 2016For the curve y = -20/x, work out y when x = 4, and write down the equation of its vertical asymptote.
- 28th March 2016A price rises by 15% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 29th March 2016A, B and C are points on a circle with centre O. Angle AOC is 162°. Work out angle ABC, where B is on the major arc.
- 30th March 20161 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 31st March 2016A histogram class is 5 units wide and contains 10 values. Work out the frequency density.