Daily Practice · Higher
March 2014 - Higher 5-a-day
Every Higher sheet published in March 2014, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' March 2014 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 2014
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 2014Work out 25^(3/2).
- 2nd March 2014Make x the subject of y = 7x^2 - 9.
- 3rd March 2014A price rises by 15% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 4th March 2014In triangle ABC, angle A is 31°, angle B is 98° and side a is 7 cm. Use the sine rule to work out side b, to 1 decimal place.
- 5th March 20144 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 6th March 2014A histogram class is 10 units wide and contains 5 values. Work out the frequency density.
- 7th March 2014Write sqrt(12) in the form a sqrt(b), where b is as small as possible.
- 8th March 2014Factorise x^2 - 49.
- 9th March 2014y is inversely proportional to x. When x = 3, y = 30. Work out y when x = 5.
- 10th March 2014A right-angled triangle has sides 10 cm, 24 cm and 26 cm. Work out the angle opposite the 10 cm side, to 1 decimal place.
- 11th March 20148 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 12th March 2014Four classes in order have frequencies 4, 11, 5, 4. Write down the cumulative frequency at the end of the third class.
- 13th March 2014A meal deal has 5 mains, 4 sides and 4 drinks. How many different meals are possible?
- 14th March 2014A region is defined by y <= -5x + 1. Should the boundary line be solid or dashed, and why?
- 15th March 2014y is directly proportional to x^2. When x = 2, y = 36. Work out y when x = 7.
- 16th March 2014The point (6, 1) is enlarged by scale factor -3 about the centre (0, 2). Write down the coordinates of the image.
- 17th March 20143 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 18th March 201440 beetles are marked and released. Later 60 are caught, of which 5 are marked. Estimate the population.
- 19th March 2014A mass is 330 kg, correct to the nearest 10. Write down the upper bound.
- 20th March 2014Factorise x^2 + x - 30.
- 21st March 2014y is directly proportional to x. When x = 6, y = 54. Work out y when x = 2.
- 22nd March 2014Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 918 cm^3. Work out the volume of the smaller.
- 23rd March 201419 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 24th March 2014A cumulative frequency graph is drawn for 128 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 25th March 2014Write 5^-3 as a fraction.
- 26th March 2014Work out the equation of the line parallel to y = 5x - 2 that passes through (4, 8).
- 27th March 2014A town's population is 39000 and grows by 6% each year. Work out the population after 2 years, to the nearest whole number.
- 28th March 2014A right-angled triangle has a hypotenuse of 13 cm and one shorter side of 12 cm. Work out the other shorter side.
- 29th March 20143 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 30th March 2014A box plot has a minimum of 2 and a maximum of 55. Work out the range.
- 31st March 2014Work out (8 x 10^3) x (2 x 10^5). Give your answer in standard form.