Daily Practice · Higher
October 2006 - Higher 5-a-day
Every Higher sheet published in October 2006, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' October 2006 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in October 2006
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st October 20063 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 2nd October 2006A cumulative frequency graph is drawn for 52 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 3rd October 2006Work out 49^(3/2).
- 4th October 2006A line has equation y = 3x + 2. Work out the gradient of any line perpendicular to it.
- 5th October 2006A town's population is 20500 and grows by 4% each year. Work out the population after 2 years, to the nearest whole number.
- 6th October 2006ABCD is a cyclic quadrilateral. Angle ABC is 90°. Work out angle ADC.
- 7th October 200614 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 8th October 2006A box plot has a minimum of 5 and a maximum of 30. Work out the range.
- 9th October 2006Write sqrt(27) in the form a sqrt(b), where b is as small as possible.
- 10th October 2006For the curve y = -20/x, work out y when x = 5, and write down the equation of its vertical asymptote.
- 11th October 2006A block has volume 75 cm^3 and density 8 g/cm^3. Work out its mass.
- 12th October 2006A, B and C are points on a circle with centre O. Angle AOC is 74°. Work out angle ABC, where B is on the major arc.
- 13th October 20063 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 14th October 2006A box plot has minimum 1, lower quartile 11, median 20, upper quartile 22 and maximum 28. Work out the interquartile range.
- 15th October 2006A meal deal has 8 mains, 3 sides and 4 drinks. How many different meals are possible?
- 16th October 2006Expand and simplify (x + 3)(x + 5)(x - 5).
- 17th October 2006x : y = 2 : 9. Write y in terms of x.
- 18th October 2006A cone has base radius 2 cm and vertical height 9 cm. Work out its volume, leaving your answer in terms of pi.
- 19th October 200616 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 20th October 2006A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 21st October 2006A mass is 62 kg, correct to the nearest whole number. Write down the upper bound.
- 22nd October 2006Make x the subject of y = 5x^2 - 11.
- 23rd October 2006A price rises by 15% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 24th October 2006In triangle ABC, angle A is 75°, angle B is 44° and side a is 12 cm. Use the sine rule to work out side b, to 1 decimal place.
- 25th October 20063 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 26th October 2006A histogram class is 10 units wide and contains 40 values. Work out the frequency density.
- 27th October 2006Write 4^-3 as a fraction.
- 28th October 2006Factorise x^2 - 64.
- 29th October 2006y is inversely proportional to x. When x = 8, y = 6. Work out y when x = 3.
- 30th October 2006A right-angled triangle has sides 9 cm, 40 cm and 41 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
- 31st October 200611 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.