Daily Practice · Higher
April 2004 - Higher 5-a-day
Every Higher sheet published in April 2004, with answers. Grades 6-7 - Higher-tier method and manipulation.
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The batch download puts all 5 tiers' April 2004 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 2004
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 2004A right-angled triangle has a hypotenuse of 5 cm and one shorter side of 4 cm. Work out the other shorter side.
- 2nd April 20041 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 3rd April 2004A box plot has minimum 13, lower quartile 19, median 29, upper quartile 36 and maximum 41. Work out the interquartile range.
- 4th April 2004A meal deal has 7 mains, 8 sides and 6 drinks. How many different meals are possible?
- 5th April 2004A line has equation y = -3x + 7. Work out the gradient of any line perpendicular to it.
- 6th April 2004x : y = 4 : 5. Write y in terms of x.
- 7th April 2004ABCD is a cyclic quadrilateral. Angle ABC is 88°. Work out angle ADC.
- 8th April 200415 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 9th April 2004A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 10th April 2004A mass is 10.8 kg, correct to 1 decimal place. Write down the upper bound.
- 11th April 2004For the curve y = -6/x, work out y when x = -2, and write down the equation of its vertical asymptote.
- 12th April 2004A price rises by 25% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 13th April 2004A, B and C are points on a circle with centre O. Angle AOC is 154°. Work out angle ABC, where B is on the major arc.
- 14th April 20045 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 15th April 2004A histogram class is 5 units wide and contains 7.5 values. Work out the frequency density.
- 16th April 2004Write 9^-2 as a fraction.
- 17th April 2004Expand and simplify (x + 3)(x - 5)(x - 2).
- 18th April 2004y is inversely proportional to x. When x = 6, y = 4. Work out y when x = 2.
- 19th April 2004A cone has base radius 10 cm and vertical height 6 cm. Work out its volume, leaving your answer in terms of pi.
- 20th April 200413 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 21st April 2004Four classes in order have frequencies 5, 7, 3, 5. Write down the cumulative frequency at the end of the third class.
- 22nd April 2004Work out (6 x 10^6) x (4 x 10^6). Give your answer in standard form.
- 23rd April 2004Make x the subject of y = 9x^2 - 5.
- 24th April 2004y is directly proportional to x^2. When x = 5, y = 50. Work out y when x = 8.
- 25th April 2004In triangle ABC, angle A is 41°, angle B is 54° and side a is 8 cm. Use the sine rule to work out side b, to 1 decimal place.
- 26th April 20041 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 27th April 200455 beetles are marked and released. Later 30 are caught, of which 3 are marked. Estimate the population.
- 28th April 2004Write the recurring decimal 0.9797... as a fraction in its simplest form.
- 29th April 2004Factorise x^2 - 25.
- 30th April 2004y is directly proportional to x. When x = 4, y = 20. Work out y when x = 14.