Daily Practice · Higher
April 2002 - Higher 5-a-day
Every Higher sheet published in April 2002, with answers. Grades 6-7 - Higher-tier method and manipulation.
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The batch download puts all 5 tiers' April 2002 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 2002
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 20023 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 2nd April 200235 newts are marked and released. Later 36 are caught, of which 9 are marked. Estimate the population.
- 3rd April 2002Write sqrt(50) in the form a sqrt(b), where b is as small as possible.
- 4th April 2002Factorise x^2 - 3x + 2.
- 5th April 2002y is directly proportional to x. When x = 4, y = 40. Work out y when x = 12.
- 6th April 2002Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 1080 cm^3. Work out the volume of the smaller.
- 7th April 200225 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 8th April 2002A cumulative frequency graph is drawn for 84 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 9th April 2002A meal deal has 7 mains, 6 sides and 6 drinks. How many different meals are possible?
- 10th April 2002Work out the equation of the line parallel to y = -5x + 7 that passes through (1, 2).
- 11th April 2002A town's population is 20000 and grows by 5% each year. Work out the population after 6 years, to the nearest whole number.
- 12th April 2002A right-angled triangle has a hypotenuse of 13 cm and one shorter side of 5 cm. Work out the other shorter side.
- 13th April 20028 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 14th April 2002A box plot has a minimum of 4 and a maximum of 54. Work out the range.
- 15th April 2002A mass is 7.2 kg, correct to 1 decimal place. Write down the upper bound.
- 16th April 2002A line has equation y = -5x + 4. Work out the gradient of any line perpendicular to it.
- 17th April 2002A block has volume 135 cm^3 and density 8 g/cm^3. Work out its mass.
- 18th April 2002ABCD is a cyclic quadrilateral. Angle ABC is 68°. Work out angle ADC.
- 19th April 200226 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 20th April 2002A box plot has minimum 15, lower quartile 21, median 28, upper quartile 30 and maximum 34. Work out the interquartile range.
- 21st April 2002Write 6^-3 as a fraction.
- 22nd April 2002For the curve y = 45/x, work out y when x = 5, and write down the equation of its vertical asymptote.
- 23rd April 2002x : y = 4 : 7. Write y in terms of x.
- 24th April 2002A, B and C are points on a circle with centre O. Angle AOC is 106°. Work out angle ABC, where B is on the major arc.
- 25th April 20022 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 26th April 2002A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 27th April 2002Work out (3 x 10^4) x (8 x 10^3). Give your answer in standard form.
- 28th April 2002Expand and simplify (x + 1)(x - 4)(x - 1).
- 29th April 2002A price rises by 10% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 30th April 2002A cone has base radius 9 cm and vertical height 6 cm. Work out its volume, leaving your answer in terms of pi.