Daily Practice · Higher
March 2009 - Higher 5-a-day
Every Higher sheet published in March 2009, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' March 2009 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 2009
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 200919 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 2nd March 2009A cumulative frequency graph is drawn for 208 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 3rd March 2009Write 8^-1 as a fraction.
- 4th March 2009Make x the subject of y = 7x^2 - 2.
- 5th March 2009A town's population is 16500 and grows by 6% each year. Work out the population after 6 years, to the nearest whole number.
- 6th March 2009In triangle ABC, angle A is 30°, angle B is 96° and side a is 5 cm. Use the sine rule to work out side b, to 1 decimal place.
- 7th March 20095 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 8th March 2009A box plot has a minimum of 8 and a maximum of 38. Work out the range.
- 9th March 2009Work out (4 x 10^4) x (6 x 10^-2). Give your answer in standard form.
- 10th March 2009Factorise x^2 - 25.
- 11th March 2009A block has volume 50 cm^3 and density 11 g/cm^3. Work out its mass.
- 12th March 2009A right-angled triangle has sides 3 cm, 4 cm and 5 cm. Work out the angle opposite the 3 cm side, to 1 decimal place.
- 13th March 200910 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 14th March 2009A box plot has minimum 8, lower quartile 18, median 26, upper quartile 29 and maximum 39. Work out the interquartile range.
- 15th March 2009Write the recurring decimal 0.8383... as a fraction in its simplest form.
- 16th March 2009A region is defined by y <= -5x - 9. Should the boundary line be solid or dashed, and why?
- 17th March 2009x : y = 4 : 9. Write y in terms of x.
- 18th March 2009The point (-5, 2) is enlarged by scale factor -2 about the centre (3, 1). Write down the coordinates of the image.
- 19th March 20094 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 20th March 2009A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 21st March 2009A bill is £168 including VAT at 20%. Work out the amount before VAT.
- 22nd March 2009Factorise x^2 - 11x + 24.
- 23rd March 2009A price rises by 25% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 24th March 2009Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 837 cm^3. Work out the volume of the smaller.
- 25th March 200931 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 26th March 2009A histogram class is 2 units wide and contains 4 values. Work out the frequency density.
- 27th March 2009A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 28th March 2009Work out the equation of the line parallel to y = -3x + 3 that passes through (4, -21).
- 29th March 2009y is inversely proportional to x. When x = 5, y = 60. Work out y when x = 12.
- 30th March 2009A right-angled triangle has a hypotenuse of 20 cm and one shorter side of 16 cm. Work out the other shorter side.
- 31st March 20091 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.