Daily Practice · Higher
April 2015 - Higher 5-a-day
Every Higher sheet published in April 2015, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' April 2015 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 2015
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 2015Work out 16^(3/2).
- 2nd April 2015A region is defined by y < 2x - 7. Should the boundary line be solid or dashed, and why?
- 3rd April 2015y is directly proportional to x. When x = 7, y = 28. Work out y when x = 8.
- 4th April 2015The point (-2, 3) is enlarged by scale factor -3 about the centre (0, 0). Write down the coordinates of the image.
- 5th April 20151 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 6th April 2015A cumulative frequency graph is drawn for 232 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 7th April 2015Write sqrt(27) in the form a sqrt(b), where b is as small as possible.
- 8th April 2015Factorise x^2 + x - 6.
- 9th April 2015A town's population is 8000 and grows by 4% each year. Work out the population after 6 years, to the nearest whole number.
- 10th April 2015Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 704 cm^3. Work out the volume of the smaller.
- 11th April 201514 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 12th April 2015A box plot has a minimum of 8 and a maximum of 68. Work out the range.
- 13th April 2015A meal deal has 4 mains, 9 sides and 5 drinks. How many different meals are possible?
- 14th April 2015Work out the equation of the line parallel to y = 2x + 4 that passes through (6, 2).
- 15th April 2015A block has volume 105 cm^3 and density 8 g/cm^3. Work out its mass.
- 16th April 2015A right-angled triangle has a hypotenuse of 41 cm and one shorter side of 40 cm. Work out the other shorter side.
- 17th April 20152 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 18th April 2015A box plot has minimum 3, lower quartile 8, median 16, upper quartile 22 and maximum 30. Work out the interquartile range.
- 19th April 2015A mass is 3.6 kg, correct to 1 decimal place. Write down the upper bound.
- 20th April 2015A line has equation y = -3x + 8. Work out the gradient of any line perpendicular to it.
- 21st April 2015x : y = 5 : 8. Write y in terms of x.
- 22nd April 2015ABCD is a cyclic quadrilateral. Angle ABC is 93°. Work out angle ADC.
- 23rd April 201516 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 24th April 2015A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 25th April 2015Write 4^-3 as a fraction.
- 26th April 2015For the curve y = -50/x, work out y when x = -5, and write down the equation of its vertical asymptote.
- 27th April 2015A price rises by 20% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 28th April 2015A, B and C are points on a circle with centre O. Angle AOC is 76°. Work out angle ABC, where B is on the major arc.
- 29th April 20152 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 30th April 2015A histogram class is 4 units wide and contains 12 values. Work out the frequency density.