Daily Practice · Higher
July 2006 - Higher 5-a-day
Every Higher sheet published in July 2006, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' July 2006 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in July 2006
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st July 2006y is directly proportional to x^2. When x = 2, y = 24. Work out y when x = 6.
- 2nd July 2006ABCD is a cyclic quadrilateral. Angle ABC is 111°. Work out angle ADC.
- 3rd July 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.
- 4th July 200615 newts are marked and released. Later 6 are caught, of which 2 are marked. Estimate the population.
- 5th July 2006A bill is £240 including VAT at 20%. Work out the amount before VAT.
- 6th July 2006For the curve y = -50/x, work out y when x = -5, and write down the equation of its vertical asymptote.
- 7th July 2006y is directly proportional to x. When x = 4, y = 24. Work out y when x = 11.
- 8th July 2006A, B and C are points on a circle with centre O. Angle AOC is 52°. Work out angle ABC, where B is on the major arc.
- 9th July 20064 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 10th July 2006A cumulative frequency graph is drawn for 128 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 11th July 2006A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 12th July 2006Expand and simplify (x - 1)(x - 2)(x + 4).
- 13th July 2006A town's population is 27000 and grows by 4% each year. Work out the population after 5 years, to the nearest whole number.
- 14th July 2006A cone has base radius 7 cm and vertical height 3 cm. Work out its volume, leaving your answer in terms of pi.
- 15th July 200617 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 16th July 2006A box plot has a minimum of 14 and a maximum of 27. Work out the range.
- 17th July 2006Work out (54 x 10^12) / (6 x 10^4). Give your answer in standard form.
- 18th July 2006Make x the subject of y = 5x^2 - 8.
- 19th July 2006A block has volume 140 cm^3 and density 8 g/cm^3. Work out its mass.
- 20th July 2006In triangle ABC, angle A is 35°, angle B is 42° and side a is 9 cm. Use the sine rule to work out side b, to 1 decimal place.
- 21st July 20062 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 22nd July 2006A box plot has minimum 1, lower quartile 5, median 11, upper quartile 20 and maximum 29. Work out the interquartile range.
- 23rd July 2006Write the recurring decimal 0.333... as a fraction in its simplest form.
- 24th July 2006Factorise x^2 - 16.
- 25th July 2006x : y = 2 : 7. Write y in terms of x.
- 26th July 2006A right-angled triangle has sides 8 cm, 15 cm and 17 cm. Work out the angle opposite the 8 cm side, to 1 decimal place.
- 27th July 200610 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 28th July 2006A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 29th July 2006Work out 125^(2/3).
- 30th July 2006A region is defined by y < -2x - 6. Should the boundary line be solid or dashed, and why?
- 31st July 2006A price rises by 25% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.