Daily Practice · Higher
March 2018 - Higher 5-a-day
Every Higher sheet published in March 2018, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' March 2018 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 2018
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 2018Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 513 cm^3. Work out the volume of the smaller.
- 2nd March 201811 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 3rd March 2018A box plot has minimum 3, lower quartile 7, median 12, upper quartile 17 and maximum 25. Work out the interquartile range.
- 4th March 2018A meal deal has 6 mains, 6 sides and 2 drinks. How many different meals are possible?
- 5th March 2018Work out the equation of the line parallel to y = 2x - 4 that passes through (3, 2).
- 6th March 2018x : y = 3 : 5. Write y in terms of x.
- 7th March 2018A right-angled triangle has a hypotenuse of 29 cm and one shorter side of 21 cm. Work out the other shorter side.
- 8th March 20181 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 9th March 2018A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 10th March 2018A mass is 230 kg, correct to the nearest 10. Write down the upper bound.
- 11th March 2018A line has equation y = 4x + 7. Work out the gradient of any line perpendicular to it.
- 12th March 2018A price rises by 15% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 13th March 2018ABCD is a cyclic quadrilateral. Angle ABC is 108°. Work out angle ADC.
- 14th March 201816 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 15th March 2018A histogram class is 20 units wide and contains 10 values. Work out the frequency density.
- 16th March 2018Write 8^-2 as a fraction.
- 17th March 2018For the curve y = 20/x, work out y when x = -5, and write down the equation of its vertical asymptote.
- 18th March 2018y is inversely proportional to x. When x = 4, y = 36. Work out y when x = 12.
- 19th March 2018A, 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.
- 20th March 20184 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 21st March 2018Four classes in order have frequencies 9, 5, 3, 12. Write down the cumulative frequency at the end of the third class.
- 22nd March 2018Work out (4 x 10^8) x (7 x 10^-2). Give your answer in standard form.
- 23rd March 2018Expand and simplify (x + 3)(x - 1)(x - 4).
- 24th March 2018y is directly proportional to x^2. When x = 5, y = 75. Work out y when x = 4.
- 25th March 2018A cone has base radius 10 cm and vertical height 12 cm. Work out its volume, leaving your answer in terms of pi.
- 26th March 201815 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 27th March 201845 fish are marked and released. Later 40 are caught, of which 5 are marked. Estimate the population.
- 28th March 2018Write the recurring decimal 0.5050... as a fraction in its simplest form.
- 29th March 2018Make x the subject of y = 3x^2 - 5.
- 30th March 2018y is directly proportional to x. When x = 7, y = 35. Work out y when x = 9.
- 31st March 2018In triangle ABC, angle A is 70°, angle B is 79° and side a is 19 cm. Use the sine rule to work out side b, to 1 decimal place.