Daily Practice · Higher
April 2011 - Higher 5-a-day
Every Higher sheet published in April 2011, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' April 2011 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 2011
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 2011A, B and C are points on a circle with centre O. Angle AOC is 170°. Work out angle ABC, where B is on the major arc.
- 2nd April 20111 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 3rd April 2011A box plot has a minimum of 13 and a maximum of 23. Work out the range.
- 4th April 2011Write the recurring decimal 0.111... as a fraction in its simplest form.
- 5th April 2011Expand and simplify (x + 3)(x + 1)(x + 3).
- 6th April 2011A block has volume 35 cm^3 and density 11 g/cm^3. Work out its mass.
- 7th April 2011A cone has base radius 4 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
- 8th April 201117 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 9th April 2011A box plot has minimum 5, lower quartile 10, median 18, upper quartile 27 and maximum 32. Work out the interquartile range.
- 10th April 2011Work out 16^(3/2).
- 11th April 2011Make x the subject of y = 8x^2 - 6.
- 12th April 2011x : y = 5 : 7. Write y in terms of x.
- 13th April 2011In triangle ABC, angle A is 38°, angle B is 47° and side a is 18 cm. Use the sine rule to work out side b, to 1 decimal place.
- 14th April 20112 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 15th April 2011A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 16th April 2011Write sqrt(45) in the form a sqrt(b), where b is as small as possible.
- 17th April 2011Factorise x^2 - 16.
- 18th April 2011A price rises by 20% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 19th April 2011A right-angled triangle has sides 6 cm, 8 cm and 10 cm. Work out the angle opposite the 6 cm side, to 1 decimal place.
- 20th April 201112 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 21st April 2011A histogram class is 2 units wide and contains 8 values. Work out the frequency density.
- 22nd April 2011A meal deal has 8 mains, 9 sides and 3 drinks. How many different meals are possible?
- 23rd April 2011A region is defined by y < 5x - 2. Should the boundary line be solid or dashed, and why?
- 24th April 2011y is inversely proportional to x. When x = 6, y = 8. Work out y when x = 4.
- 25th April 2011The point (3, -6) is enlarged by scale factor -1 about the centre (-3, 3). Write down the coordinates of the image.
- 26th April 20115 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 27th April 2011Four classes in order have frequencies 8, 10, 11, 10. Write down the cumulative frequency at the end of the third class.
- 28th April 2011A mass is 390 kg, correct to the nearest 10. Write down the lower bound.
- 29th April 2011Factorise x^2 - 3x - 28.
- 30th April 2011y is directly proportional to x^2. When x = 5, y = 75. Work out y when x = 9.