Daily Practice · Higher
April 2006 - Higher 5-a-day
Every Higher sheet published in April 2006, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' April 2006 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 2006
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 2006For the curve y = 110/x, work out y when x = 10, and write down the equation of its vertical asymptote.
- 2nd April 2006y is inversely proportional to x. When x = 7, y = 15. Work out y when x = 3.
- 3rd April 2006A, B and C are points on a circle with centre O. Angle AOC is 84°. Work out angle ABC, where B is on the major arc.
- 4th April 20062 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 5th April 2006Four classes in order have frequencies 3, 3, 10, 10. Write down the cumulative frequency at the end of the third class.
- 6th April 2006A mass is 3 kg, correct to 1 decimal place. Write down the lower bound.
- 7th April 2006Expand and simplify (x + 2)(x - 4)(x + 4).
- 8th April 2006y is directly proportional to x^2. When x = 5, y = 50. Work out y when x = 6.
- 9th April 2006A cone has base radius 3 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
- 10th April 200615 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 11th April 200655 newts are marked and released. Later 24 are caught, of which 6 are marked. Estimate the population.
- 12th April 2006Write 2^-2 as a fraction.
- 13th April 2006Make x the subject of y = 3x^2 - 6.
- 14th April 2006y is directly proportional to x. When x = 8, y = 40. Work out y when x = 11.
- 15th April 2006In triangle ABC, angle A is 78°, angle B is 64° and side a is 19 cm. Use the sine rule to work out side b, to 1 decimal place.
- 16th April 20061 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 17th April 2006A cumulative frequency graph is drawn for 184 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 18th April 2006Work out (7 x 10^6) x (8 x 10^6). Give your answer in standard form.
- 19th April 2006Factorise x^2 - 81.
- 20th April 2006A town's population is 32000 and grows by 8% each year. Work out the population after 2 years, to the nearest whole number.
- 21st April 2006A right-angled triangle has sides 7 cm, 24 cm and 25 cm. Work out the angle opposite the 7 cm side, to 1 decimal place.
- 22nd April 200615 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 23rd April 2006A box plot has a minimum of 10 and a maximum of 63. Work out the range.
- 24th April 2006Write the recurring decimal 0.3535... as a fraction in its simplest form.
- 25th April 2006A region is defined by y <= -3x + 3. Should the boundary line be solid or dashed, and why?
- 26th April 2006A block has volume 105 cm^3 and density 8 g/cm^3. Work out its mass.
- 27th April 2006The point (-6, -3) is enlarged by scale factor -3 about the centre (-1, -2). Write down the coordinates of the image.
- 28th April 20064 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 29th April 2006A box plot has minimum 3, lower quartile 9, median 19, upper quartile 24 and maximum 26. Work out the interquartile range.
- 30th April 2006A bill is £696 including VAT at 20%. Work out the amount before VAT.