Daily Practice · Higher
March 2017 - Higher 5-a-day
Every Higher sheet published in March 2017, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' March 2017 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 2017
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 20172 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 2nd March 2017A histogram class is 2 units wide and contains 1 values. Work out the frequency density.
- 3rd March 2017A bill is £840 including VAT at 20%. Work out the amount before VAT.
- 4th March 2017Expand and simplify (x + 5)(x + 1)(x - 5).
- 5th March 2017y is inversely proportional to x. When x = 8, y = 30. Work out y when x = 6.
- 6th March 2017A cone has base radius 6 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 7th March 201724 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 8th March 2017Four classes in order have frequencies 12, 6, 3, 6. Write down the cumulative frequency at the end of the third class.
- 9th March 2017A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 10th March 2017Make x the subject of y = 2x^2 - 7.
- 11th March 2017y is directly proportional to x^2. When x = 2, y = 24. Work out y when x = 5.
- 12th March 2017In triangle ABC, angle A is 79°, angle B is 35° and side a is 7 cm. Use the sine rule to work out side b, to 1 decimal place.
- 13th March 20174 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 14th March 201710 newts are marked and released. Later 6 are caught, of which 2 are marked. Estimate the population.
- 15th March 2017Work out (32 x 10^12) / (8 x 10^4). Give your answer in standard form.
- 16th March 2017Factorise x^2 - 100.
- 17th March 2017y is directly proportional to x. When x = 7, y = 84. Work out y when x = 12.
- 18th March 2017A right-angled triangle has sides 7 cm, 24 cm and 25 cm. Work out the angle opposite the 7 cm side, to 1 decimal place.
- 19th March 20179 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 20th March 2017A cumulative frequency graph is drawn for 168 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 21st March 2017Write the recurring decimal 0.777... as a fraction in its simplest form.
- 22nd March 2017A region is defined by y < 4x - 2. Should the boundary line be solid or dashed, and why?
- 23rd March 2017A town's population is 5500 and grows by 3% each year. Work out the population after 4 years, to the nearest whole number.
- 24th March 2017The point (-6, -5) is enlarged by scale factor -2 about the centre (2, 0). Write down the coordinates of the image.
- 25th March 20178 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 26th March 2017A box plot has a minimum of 13 and a maximum of 54. Work out the range.
- 27th March 2017Work out 8^(2/3).
- 28th March 2017Factorise x^2 - 9.
- 29th March 2017A block has volume 10 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 30th March 2017Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 264 cm^3. Work out the volume of the smaller.
- 31st March 201712 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.