Daily Practice · Higher
April 2005 - Higher 5-a-day
Every Higher sheet published in April 2005, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' April 2005 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 2005
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 2005y is directly proportional to x. When x = 7, y = 14. Work out y when x = 5.
- 2nd April 2005A 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.
- 3rd April 200510 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 4th April 2005A cumulative frequency graph is drawn for 84 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 5th April 2005A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 6th April 2005A region is defined by y < 5x - 4. Should the boundary line be solid or dashed, and why?
- 7th April 2005A town's population is 30000 and grows by 4% each year. Work out the population after 3 years, to the nearest whole number.
- 8th April 2005The point (-5, -1) is enlarged by scale factor -3 about the centre (0, 0). Write down the coordinates of the image.
- 9th April 20053 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 10th April 2005A box plot has a minimum of 13 and a maximum of 54. Work out the range.
- 11th April 2005Work out (18 x 10^8) / (9 x 10^5). Give your answer in standard form.
- 12th April 2005Factorise x^2 + 5x - 6.
- 13th April 2005A block has volume 175 cm^3 and density 4 g/cm^3. Work out its mass.
- 14th April 2005Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 80 cm^3. Work out the volume of the smaller.
- 15th April 200518 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 16th April 2005A box plot has minimum 5, lower quartile 8, median 16, upper quartile 25 and maximum 32. Work out the interquartile range.
- 17th April 2005Write the recurring decimal 0.888... as a fraction in its simplest form.
- 18th April 2005Work out the equation of the line parallel to y = -5x - 3 that passes through (6, -28).
- 19th April 2005x : y = 5 : 7. Write y in terms of x.
- 20th April 2005A right-angled triangle has a hypotenuse of 25 cm and one shorter side of 7 cm. Work out the other shorter side.
- 21st April 20053 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 22nd April 2005A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 23rd April 2005Work out 125^(2/3).
- 24th April 2005A line has equation y = 2x + 9. Work out the gradient of any line perpendicular to it.
- 25th April 2005A price rises by 20% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 26th April 2005ABCD is a cyclic quadrilateral. Angle ABC is 103°. Work out angle ADC.
- 27th April 200512 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 28th April 2005A histogram class is 10 units wide and contains 20 values. Work out the frequency density.
- 29th April 2005Write sqrt(45) in the form a sqrt(b), where b is as small as possible.
- 30th April 2005For the curve y = -10/x, work out y when x = -2, and write down the equation of its vertical asymptote.