Daily Practice · Higher
April 2008 - Higher 5-a-day
Every Higher sheet published in April 2008, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' April 2008 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 2008
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 2008A mass is 7.5 kg, correct to 1 decimal place. Write down the lower bound.
- 2nd April 2008Make x the subject of y = 3x^2 - 2.
- 3rd April 2008A town's population is 23500 and grows by 3% each year. Work out the population after 4 years, to the nearest whole number.
- 4th April 2008In triangle ABC, angle A is 67°, angle B is 46° and side a is 18 cm. Use the sine rule to work out side b, to 1 decimal place.
- 5th April 20082 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 6th April 2008A box plot has a minimum of 19 and a maximum of 55. Work out the range.
- 7th April 2008Write 8^-1 as a fraction.
- 8th April 2008Factorise x^2 - 25.
- 9th April 2008A block has volume 60 cm^3 and density 8 g/cm^3. Work out its mass.
- 10th April 2008A right-angled triangle has sides 3 cm, 4 cm and 5 cm. Work out the angle opposite the 3 cm side, to 1 decimal place.
- 11th April 200815 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 12th April 2008A box plot has minimum 4, lower quartile 13, median 23, upper quartile 26 and maximum 35. Work out the interquartile range.
- 13th April 2008Work out (6 x 10^5) x (2 x 10^-2). Give your answer in standard form.
- 14th April 2008A region is defined by y <= -3x + 3. Should the boundary line be solid or dashed, and why?
- 15th April 2008x : y = 5 : 6. Write y in terms of x.
- 16th April 2008The point (-5, 4) is enlarged by scale factor -1 about the centre (2, 3). Write down the coordinates of the image.
- 17th April 20081 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 18th April 2008A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 19th April 2008Write the recurring decimal 0.1414... as a fraction in its simplest form.
- 20th April 2008Factorise x^2 + x - 12.
- 21st April 2008A price rises by 15% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 22nd April 2008Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 459 cm^3. Work out the volume of the smaller.
- 23rd April 20089 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 24th April 2008A histogram class is 10 units wide and contains 30 values. Work out the frequency density.
- 25th April 2008A bill is £576 including VAT at 20%. Work out the amount before VAT.
- 26th April 2008Work out the equation of the line parallel to y = 4x + 3 that passes through (2, 0).
- 27th April 2008y is inversely proportional to x. When x = 9, y = 30. Work out y when x = 6.
- 28th April 2008A right-angled triangle has a hypotenuse of 20 cm and one shorter side of 16 cm. Work out the other shorter side.
- 29th April 20082 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 30th April 2008Four classes in order have frequencies 7, 12, 12, 3. Write down the cumulative frequency at the end of the third class.