Daily Practice · Higher
February 1998 - Higher 5-a-day
Every Higher sheet published in February 1998, with answers. Grades 6-7 - Higher-tier method and manipulation.
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The batch download puts all 5 tiers' February 1998 sheets in a single PDF, each tier behind its own divider page - 140 sheets in one file.
Every sheet in February 1998
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 1998y is inversely proportional to x. When x = 9, y = 48. Work out y when x = 12.
- 2nd February 1998ABCD is a cyclic quadrilateral. Angle ABC is 113°. Work out angle ADC.
- 3rd February 199826 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 4th February 1998Four classes in order have frequencies 9, 4, 5, 9. Write down the cumulative frequency at the end of the third class.
- 5th February 1998Write sqrt(50) in the form a sqrt(b), where b is as small as possible.
- 6th February 1998For the curve y = 24/x, work out y when x = 2, and write down the equation of its vertical asymptote.
- 7th February 1998y is directly proportional to x^2. When x = 4, y = 144. Work out y when x = 6.
- 8th February 1998A, B and C are points on a circle with centre O. Angle AOC is 54°. Work out angle ABC, where B is on the major arc.
- 9th February 19983 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 10th February 199855 voles are marked and released. Later 35 are caught, of which 5 are marked. Estimate the population.
- 11th February 1998A meal deal has 7 mains, 4 sides and 6 drinks. How many different meals are possible?
- 12th February 1998Expand and simplify (x - 5)(x - 3)(x - 1).
- 13th February 1998y is directly proportional to x. When x = 2, y = 16. Work out y when x = 13.
- 14th February 1998A cone has base radius 9 cm and vertical height 18 cm. Work out its volume, leaving your answer in terms of pi.
- 15th February 19988 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 16th February 1998A cumulative frequency graph is drawn for 76 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 17th February 1998A mass is 11 kg, correct to the nearest whole number. Write down the upper bound.
- 18th February 1998Make x the subject of y = 5x^2 - 6.
- 19th February 1998A town's population is 10500 and grows by 8% each year. Work out the population after 2 years, to the nearest whole number.
- 20th February 1998In triangle ABC, angle A is 37°, angle B is 74° and side a is 17 cm. Use the sine rule to work out side b, to 1 decimal place.
- 21st February 19983 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 22nd February 1998A box plot has a minimum of 3 and a maximum of 57. Work out the range.
- 23rd February 1998Write 5^-2 as a fraction.
- 24th February 1998Factorise x^2 - 16.
- 25th February 1998A block has volume 90 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 26th February 1998A right-angled triangle has sides 10 cm, 24 cm and 26 cm. Work out the angle opposite the 10 cm side, to 1 decimal place.
- 27th February 199824 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 28th February 1998A box plot has minimum 12, lower quartile 19, median 24, upper quartile 30 and maximum 34. Work out the interquartile range.