Daily Practice · Higher
February 2007 - Higher 5-a-day
Every Higher sheet published in February 2007, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' February 2007 sheets in a single PDF, each tier behind its own divider page - 140 sheets in one file.
Every sheet in February 2007
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 2007Factorise x^2 - 25.
- 2nd February 2007y is directly proportional to x. When x = 6, y = 12. Work out y when x = 15.
- 3rd February 2007A 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.
- 4th February 200716 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 5th February 2007A cumulative frequency graph is drawn for 200 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 6th February 2007Write the recurring decimal 0.666... as a fraction in its simplest form.
- 7th February 2007A region is defined by y <= -3x + 9. Should the boundary line be solid or dashed, and why?
- 8th February 2007A town's population is 8000 and grows by 4% each year. Work out the population after 2 years, to the nearest whole number.
- 9th February 2007The point (3, 5) is enlarged by scale factor -1 about the centre (2, 3). Write down the coordinates of the image.
- 10th February 20074 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 11th February 2007A box plot has a minimum of 10 and a maximum of 44. Work out the range.
- 12th February 2007Work out 49^(3/2).
- 13th February 2007Factorise x^2 - 7x - 18.
- 14th February 2007A block has volume 70 cm^3 and density 4 g/cm^3. Work out its mass.
- 15th February 2007Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 567 cm^3. Work out the volume of the smaller.
- 16th February 200714 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 17th February 2007A box plot has minimum 4, lower quartile 6, median 12, upper quartile 14 and maximum 19. Work out the interquartile range.
- 18th February 2007Write sqrt(72) in the form a sqrt(b), where b is as small as possible.
- 19th February 2007Work out the equation of the line parallel to y = -3x + 3 that passes through (2, -2).
- 20th February 2007x : y = 3 : 7. Write y in terms of x.
- 21st February 2007A right-angled triangle has a hypotenuse of 26 cm and one shorter side of 10 cm. Work out the other shorter side.
- 22nd February 20075 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 23rd February 2007A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 24th February 2007A meal deal has 4 mains, 7 sides and 3 drinks. How many different meals are possible?
- 25th February 2007A line has equation y = 3x + 9. Work out the gradient of any line perpendicular to it.
- 26th February 2007A price rises by 15% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 27th February 2007ABCD is a cyclic quadrilateral. Angle ABC is 120°. Work out angle ADC.
- 28th February 200721 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.