Daily Practice · Higher
February 2010 - Higher 5-a-day
Every Higher sheet published in February 2010, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' February 2010 sheets in a single PDF, each tier behind its own divider page - 140 sheets in one file.
Every sheet in February 2010
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 2010A cumulative frequency graph is drawn for 80 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 2nd February 2010Work out (8 x 10^7) x (2 x 10^4). Give your answer in standard form.
- 3rd February 2010Make x the subject of y = 4x^2 - 8.
- 4th February 2010A town's population is 27500 and grows by 8% each year. Work out the population after 5 years, to the nearest whole number.
- 5th February 2010In triangle ABC, angle A is 54°, angle B is 63° and side a is 12 cm. Use the sine rule to work out side b, to 1 decimal place.
- 6th February 20103 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 7th February 2010A box plot has a minimum of 7 and a maximum of 39. Work out the range.
- 8th February 2010Write the recurring decimal 0.9292... as a fraction in its simplest form.
- 9th February 2010Factorise x^2 - 25.
- 10th February 2010A block has volume 160 cm^3 and density 4 g/cm^3. Work out its mass.
- 11th February 2010A 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.
- 12th February 201029 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 13th February 2010A box plot has minimum 9, lower quartile 18, median 22, upper quartile 26 and maximum 35. Work out the interquartile range.
- 14th February 2010A bill is £72 including VAT at 20%. Work out the amount before VAT.
- 15th February 2010A region is defined by y < -4x - 6. Should the boundary line be solid or dashed, and why?
- 16th February 2010x : y = 4 : 7. Write y in terms of x.
- 17th February 2010The point (2, -1) is enlarged by scale factor -3 about the centre (-1, -1). Write down the coordinates of the image.
- 18th February 20102 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 19th February 2010A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 20th February 2010A code is 2 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 21st February 2010Factorise x^2 + 6x - 27.
- 22nd February 2010A price rises by 25% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 23rd February 2010Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 2496 cm^3. Work out the volume of the smaller.
- 24th February 201024 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 25th February 2010A histogram class is 10 units wide and contains 20 values. Work out the frequency density.
- 26th February 2010Work out (6 x 10^10) / (3 x 10^3). Give your answer in standard form.
- 27th February 2010Work out the equation of the line parallel to y = -2x + 8 that passes through (4, -3).
- 28th February 2010y is inversely proportional to x. When x = 7, y = 8. Work out y when x = 2.