Daily Practice · Higher
March 2006 - Higher 5-a-day
Every Higher sheet published in March 2006, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' March 2006 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 2006
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 2006A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 2nd March 2006Factorise x^2 - 49.
- 3rd March 2006y is directly proportional to x. When x = 9, y = 54. Work out y when x = 12.
- 4th March 2006A 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.
- 5th March 200622 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 6th March 2006A cumulative frequency graph is drawn for 104 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 7th March 2006Work out (56 x 10^8) / (8 x 10^4). Give your answer in standard form.
- 8th March 2006A region is defined by y <= -2x - 6. Should the boundary line be solid or dashed, and why?
- 9th March 2006A town's population is 11500 and grows by 6% each year. Work out the population after 2 years, to the nearest whole number.
- 10th March 2006The point (6, 6) is enlarged by scale factor -3 about the centre (0, -1). Write down the coordinates of the image.
- 11th March 20065 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 12th March 2006A box plot has a minimum of 16 and a maximum of 38. Work out the range.
- 13th March 2006Write the recurring decimal 0.333... as a fraction in its simplest form.
- 14th March 2006Factorise x^2 + 5x - 14.
- 15th March 2006A block has volume 10 cm^3 and density 11 g/cm^3. Work out its mass.
- 16th March 2006Two 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.
- 17th March 20069 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 18th March 2006A box plot has minimum 15, lower quartile 25, median 29, upper quartile 36 and maximum 39. Work out the interquartile range.
- 19th March 2006Work out 216^(2/3).
- 20th March 2006Work out the equation of the line parallel to y = -5x + 2 that passes through (3, -3).
- 21st March 2006x : y = 2 : 5. Write y in terms of x.
- 22nd March 2006A right-angled triangle has a hypotenuse of 20 cm and one shorter side of 12 cm. Work out the other shorter side.
- 23rd March 20061 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 24th March 2006A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 25th March 2006Write sqrt(20) in the form a sqrt(b), where b is as small as possible.
- 26th March 2006A line has equation y = -4x + 1. Work out the gradient of any line perpendicular to it.
- 27th March 2006A price rises by 25% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 28th March 2006ABCD is a cyclic quadrilateral. Angle ABC is 70°. Work out angle ADC.
- 29th March 200625 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 30th March 2006A histogram class is 10 units wide and contains 5 values. Work out the frequency density.
- 31st March 2006A meal deal has 3 mains, 9 sides and 3 drinks. How many different meals are possible?