Daily Practice · Higher
June 2007 - Higher 5-a-day
Every Higher sheet published in June 2007, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' June 2007 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in June 2007
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 2007A line has equation y = -2x + 2. Work out the gradient of any line perpendicular to it.
- 2nd June 2007y is directly proportional to x^2. When x = 6, y = 252. Work out y when x = 5.
- 3rd June 2007ABCD is a cyclic quadrilateral. Angle ABC is 72°. Work out angle ADC.
- 4th June 200727 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 5th June 200720 voles are marked and released. Later 10 are caught, of which 2 are marked. Estimate the population.
- 6th June 2007A code is 2 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 7th June 2007For the curve y = -50/x, work out y when x = -5, and write down the equation of its vertical asymptote.
- 8th June 2007y is directly proportional to x. When x = 3, y = 24. Work out y when x = 7.
- 9th June 2007A, B and C are points on a circle with centre O. Angle AOC is 148°. Work out angle ABC, where B is on the major arc.
- 10th June 20072 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 11th June 2007A cumulative frequency graph is drawn for 172 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 12th June 2007Work out (49 x 10^7) / (7 x 10^3). Give your answer in standard form.
- 13th June 2007Expand and simplify (x - 2)(x + 3)(x + 3).
- 14th June 2007A town's population is 12000 and grows by 3% each year. Work out the population after 3 years, to the nearest whole number.
- 15th June 2007A cone has base radius 3 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 16th June 200714 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 17th June 2007A box plot has a minimum of 14 and a maximum of 53. Work out the range.
- 18th June 2007Write the recurring decimal 0.555... as a fraction in its simplest form.
- 19th June 2007Make x the subject of y = 8x^2 - 11.
- 20th June 2007A block has volume 190 cm^3 and density 3 g/cm^3. Work out its mass.
- 21st June 2007In triangle ABC, angle A is 50°, angle B is 61° and side a is 19 cm. Use the sine rule to work out side b, to 1 decimal place.
- 22nd June 20072 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 23rd June 2007A box plot has minimum 7, lower quartile 16, median 21, upper quartile 25 and maximum 27. Work out the interquartile range.
- 24th June 2007Work out 25^(3/2).
- 25th June 2007Factorise x^2 - 64.
- 26th June 2007x : y = 2 : 5. Write y in terms of x.
- 27th June 2007A 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.
- 28th June 200710 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 29th June 2007A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 30th June 2007Write sqrt(45) in the form a sqrt(b), where b is as small as possible.