Daily Practice · Higher
January 1999 - Higher 5-a-day
Every Higher sheet published in January 1999, with answers. Grades 6-7 - Higher-tier method and manipulation.
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The batch download puts all 5 tiers' January 1999 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in January 1999
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st January 1999Write sqrt(12) in the form a sqrt(b), where b is as small as possible.
- 2nd January 1999A line has equation y = -5x + 6. Work out the gradient of any line perpendicular to it.
- 3rd January 1999y is inversely proportional to x. When x = 4, y = 50. Work out y when x = 10.
- 4th January 1999ABCD is a cyclic quadrilateral. Angle ABC is 57°. Work out angle ADC.
- 5th January 199919 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 6th January 1999Four classes in order have frequencies 9, 3, 12, 8. Write down the cumulative frequency at the end of the third class.
- 7th January 1999A meal deal has 5 mains, 7 sides and 2 drinks. How many different meals are possible?
- 8th January 1999For the curve y = -30/x, work out y when x = 10, and write down the equation of its vertical asymptote.
- 9th January 1999y is directly proportional to x^2. When x = 3, y = 27. Work out y when x = 6.
- 10th January 1999A, B and C are points on a circle with centre O. Angle AOC is 108°. Work out angle ABC, where B is on the major arc.
- 11th January 19992 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 12th January 199935 beetles are marked and released. Later 12 are caught, of which 4 are marked. Estimate the population.
- 13th January 1999A mass is 13 kg, correct to 1 decimal place. Write down the upper bound.
- 14th January 1999Expand and simplify (x - 3)(x + 3)(x + 5).
- 15th January 1999y is directly proportional to x. When x = 2, y = 12. Work out y when x = 7.
- 16th January 1999A cone has base radius 9 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 17th January 199919 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 18th January 1999A cumulative frequency graph is drawn for 68 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 19th January 1999Write 2^-2 as a fraction.
- 20th January 1999Make x the subject of y = 5x^2 - 8.
- 21st January 1999A town's population is 29000 and grows by 8% each year. Work out the population after 2 years, to the nearest whole number.
- 22nd January 1999In triangle ABC, angle A is 73°, angle B is 51° and side a is 9 cm. Use the sine rule to work out side b, to 1 decimal place.
- 23rd January 19992 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 24th January 1999A box plot has a minimum of 18 and a maximum of 52. Work out the range.
- 25th January 1999Work out (6 x 10^7) x (9 x 10^-5). Give your answer in standard form.
- 26th January 1999Factorise x^2 - 64.
- 27th January 1999A block has volume 15 cm^3 and density 4 g/cm^3. Work out its mass.
- 28th January 1999A right-angled triangle has sides 9 cm, 12 cm and 15 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
- 29th January 199916 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 30th January 1999A box plot has minimum 8, lower quartile 18, median 28, upper quartile 36 and maximum 39. Work out the interquartile range.
- 31st January 1999Write the recurring decimal 0.5858... as a fraction in its simplest form.