Daily Practice · Higher
March 2019 - Higher 5-a-day
Every Higher sheet published in March 2019, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' March 2019 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 2019
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 2019y is directly proportional to x. When x = 4, y = 48. Work out y when x = 13.
- 2nd March 2019In triangle ABC, angle A is 61°, angle B is 34° and side a is 8 cm. Use the sine rule to work out side b, to 1 decimal place.
- 3rd March 20197 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 4th March 2019A cumulative frequency graph is drawn for 40 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 5th March 2019A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 6th March 2019Factorise x^2 - 16.
- 7th March 2019A town's population is 33500 and grows by 5% each year. Work out the population after 5 years, to the nearest whole number.
- 8th March 2019A right-angled triangle has sides 20 cm, 21 cm and 29 cm. Work out the angle opposite the 20 cm side, to 1 decimal place.
- 9th March 201911 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 10th March 2019A box plot has a minimum of 13 and a maximum of 46. Work out the range.
- 11th March 2019Work out (45 x 10^8) / (5 x 10^3). Give your answer in standard form.
- 12th March 2019A region is defined by y <= 3x + 6. Should the boundary line be solid or dashed, and why?
- 13th March 2019A block has volume 155 cm^3 and density 8 g/cm^3. Work out its mass.
- 14th March 2019The point (4, 6) is enlarged by scale factor -3 about the centre (4, 3). Write down the coordinates of the image.
- 15th March 20191 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 16th March 2019A box plot has minimum 1, lower quartile 6, median 9, upper quartile 14 and maximum 20. Work out the interquartile range.
- 17th March 2019Write the recurring decimal 0.777... as a fraction in its simplest form.
- 18th March 2019Factorise x^2 + 6x + 8.
- 19th March 2019x : y = 3 : 7. Write y in terms of x.
- 20th March 2019Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 24 cm^3. Work out the volume of the smaller.
- 21st March 201918 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 22nd March 2019A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 23rd March 2019Work out 216^(2/3).
- 24th March 2019Work out the equation of the line parallel to y = -5x - 5 that passes through (1, -17).
- 25th March 2019A price rises by 10% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 26th March 2019A right-angled triangle has a hypotenuse of 5 cm and one shorter side of 4 cm. Work out the other shorter side.
- 27th March 20191 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 28th March 2019A histogram class is 5 units wide and contains 20 values. Work out the frequency density.
- 29th March 2019Write sqrt(18) in the form a sqrt(b), where b is as small as possible.
- 30th March 2019A line has equation y = -5x + 1. Work out the gradient of any line perpendicular to it.
- 31st March 2019y is inversely proportional to x. When x = 2, y = 12. Work out y when x = 3.