Daily Practice · Higher
April 2001 - Higher 5-a-day
Every Higher sheet published in April 2001, with answers. Grades 6-7 - Higher-tier method and manipulation.
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The batch download puts all 5 tiers' April 2001 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 2001
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 2001A box plot has a minimum of 8 and a maximum of 33. Work out the range.
- 2nd April 2001Write the recurring decimal 0.7070... as a fraction in its simplest form.
- 3rd April 2001For the curve y = -32/x, work out y when x = -4, and write down the equation of its vertical asymptote.
- 4th April 2001A block has volume 190 cm^3 and density 4 g/cm^3. Work out its mass.
- 5th April 2001A, B and C are points on a circle with centre O. Angle AOC is 98°. Work out angle ABC, where B is on the major arc.
- 6th April 20014 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 7th April 2001A box plot has minimum 7, lower quartile 10, median 18, upper quartile 28 and maximum 31. Work out the interquartile range.
- 8th April 2001A bill is £480 including VAT at 20%. Work out the amount before VAT.
- 9th April 2001Expand and simplify (x + 3)(x + 5)(x + 1).
- 10th April 2001x : y = 5 : 9. Write y in terms of x.
- 11th April 2001A cone has base radius 8 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 12th April 200124 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 13th April 2001A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 14th April 2001A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 15th April 2001Make x the subject of y = 7x^2 - 12.
- 16th April 2001A price rises by 25% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 17th April 2001In triangle ABC, angle A is 79°, angle B is 44° and side a is 10 cm. Use the sine rule to work out side b, to 1 decimal place.
- 18th April 20017 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 19th April 2001A histogram class is 5 units wide and contains 7.5 values. Work out the frequency density.
- 20th April 2001Work out (30 x 10^12) / (6 x 10^3). Give your answer in standard form.
- 21st April 2001Factorise x^2 - 144.
- 22nd April 2001y is inversely proportional to x. When x = 8, y = 5. Work out y when x = 5.
- 23rd April 2001A right-angled triangle has sides 5 cm, 12 cm and 13 cm. Work out the angle opposite the 5 cm side, to 1 decimal place.
- 24th April 200125 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 25th April 2001Four classes in order have frequencies 3, 9, 9, 9. Write down the cumulative frequency at the end of the third class.
- 26th April 2001Write the recurring decimal 0.333... as a fraction in its simplest form.
- 27th April 2001A region is defined by y < -5x - 5. Should the boundary line be solid or dashed, and why?
- 28th April 2001y is directly proportional to x^2. When x = 6, y = 108. Work out y when x = 5.
- 29th April 2001The point (-2, -3) is enlarged by scale factor -2 about the centre (0, -2). Write down the coordinates of the image.
- 30th April 20012 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.