Daily Practice · Higher
February 2015 - Higher 5-a-day
Every Higher sheet published in February 2015, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' February 2015 sheets in a single PDF, each tier behind its own divider page - 140 sheets in one file.
Every sheet in February 2015
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 2015Make x the subject of y = 2x^2 - 7.
- 2nd February 2015A price rises by 10% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 3rd February 2015In triangle ABC, angle A is 56°, angle B is 92° and side a is 14 cm. Use the sine rule to work out side b, to 1 decimal place.
- 4th February 20151 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 5th February 2015A histogram class is 5 units wide and contains 12.5 values. Work out the frequency density.
- 6th February 2015A meal deal has 4 mains, 7 sides and 2 drinks. How many different meals are possible?
- 7th February 2015Factorise x^2 - 4.
- 8th February 2015y is inversely proportional to x. When x = 5, y = 15. Work out y when x = 3.
- 9th February 2015A right-angled triangle has sides 9 cm, 12 cm and 15 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
- 10th February 201528 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 11th February 2015Four classes in order have frequencies 11, 4, 9, 4. Write down the cumulative frequency at the end of the third class.
- 12th February 2015A mass is 76 kg, correct to the nearest whole number. Write down the lower bound.
- 13th February 2015A region is defined by y <= -2x + 5. Should the boundary line be solid or dashed, and why?
- 14th February 2015y is directly proportional to x^2. When x = 5, y = 175. Work out y when x = 6.
- 15th February 2015The point (6, 6) is enlarged by scale factor -3 about the centre (-1, 2). Write down the coordinates of the image.
- 16th February 20155 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 17th February 201545 beetles are marked and released. Later 63 are caught, of which 9 are marked. Estimate the population.
- 18th February 2015Write 5^-1 as a fraction.
- 19th February 2015Factorise x^2 - 12x + 27.
- 20th February 2015y is directly proportional to x. When x = 4, y = 40. Work out y when x = 15.
- 21st February 2015Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 72 cm^3. Work out the volume of the smaller.
- 22nd February 201514 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 23rd February 2015A cumulative frequency graph is drawn for 108 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 24th February 2015Work out (6 x 10^4) x (2 x 10^5). Give your answer in standard form.
- 25th February 2015Work out the equation of the line parallel to y = 4x + 3 that passes through (6, 30).
- 26th February 2015A town's population is 3000 and grows by 8% each year. Work out the population after 2 years, to the nearest whole number.
- 27th February 2015A right-angled triangle has a hypotenuse of 26 cm and one shorter side of 24 cm. Work out the other shorter side.
- 28th February 20152 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.