Daily Practice · Higher
September 2007 - Higher 5-a-day
Every Higher sheet published in September 2007, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' September 2007 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in September 2007
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 2007A right-angled triangle has a hypotenuse of 15 cm and one shorter side of 9 cm. Work out the other shorter side.
- 2nd September 20074 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 3rd September 2007A cumulative frequency graph is drawn for 184 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 4th September 2007Write sqrt(48) in the form a sqrt(b), where b is as small as possible.
- 5th September 2007A line has equation y = 5x + 8. Work out the gradient of any line perpendicular to it.
- 6th September 2007A town's population is 16500 and grows by 3% each year. Work out the population after 5 years, to the nearest whole number.
- 7th September 2007ABCD is a cyclic quadrilateral. Angle ABC is 129°. Work out angle ADC.
- 8th September 200710 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 9th September 2007A box plot has a minimum of 16 and a maximum of 66. Work out the range.
- 10th September 2007A meal deal has 5 mains, 6 sides and 3 drinks. How many different meals are possible?
- 11th September 2007For the curve y = -35/x, work out y when x = 5, and write down the equation of its vertical asymptote.
- 12th September 2007A block has volume 95 cm^3 and density 8 g/cm^3. Work out its mass.
- 13th September 2007A, B and C are points on a circle with centre O. Angle AOC is 116°. Work out angle ABC, where B is on the major arc.
- 14th September 20073 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 15th September 2007A box plot has minimum 6, lower quartile 13, median 15, upper quartile 24 and maximum 28. Work out the interquartile range.
- 16th September 2007A mass is 600 kg, correct to the nearest 10. Write down the upper bound.
- 17th September 2007Expand and simplify (x + 2)(x - 5)(x + 5).
- 18th September 2007x : y = 5 : 6. Write y in terms of x.
- 19th September 2007A cone has base radius 5 cm and vertical height 12 cm. Work out its volume, leaving your answer in terms of pi.
- 20th September 200718 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 21st September 2007A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 22nd September 2007Write 5^-3 as a fraction.
- 23rd September 2007Make x the subject of y = 3x^2 - 7.
- 24th September 2007A price rises by 20% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 25th September 2007In triangle ABC, angle A is 35°, angle B is 46° and side a is 9 cm. Use the sine rule to work out side b, to 1 decimal place.
- 26th September 20073 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 27th September 2007A histogram class is 20 units wide and contains 60 values. Work out the frequency density.
- 28th September 2007Work out (6 x 10^8) x (6 x 10^-5). Give your answer in standard form.
- 29th September 2007Factorise x^2 - 64.
- 30th September 2007y is inversely proportional to x. When x = 4, y = 6. Work out y when x = 2.