Daily Practice · Higher
January 1989 5-a-day
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The batch download puts all 5 tiers' January 1989 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in January 1989
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st January 1989y is inversely proportional to x. When x = 3, y = 6. Work out y when x = 6.
- 2nd January 1989A right-angled triangle has a hypotenuse of 17 cm and one shorter side of 8 cm. Work out the other shorter side.
- 3rd January 19892 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 4th January 1989Four classes in order have frequencies 7, 4, 10, 9. Write down the cumulative frequency at the end of the third class.
- 5th January 1989Work out (45 x 10^7) / (9 x 10^3). Give your answer in standard form.
- 6th January 1989A line has equation y = 4x + 3. Work out the gradient of any line perpendicular to it.
- 7th January 1989y is directly proportional to x^2. When x = 2, y = 32. Work out y when x = 7.
- 8th January 1989ABCD is a cyclic quadrilateral. Angle ABC is 63°. Work out angle ADC.
- 9th January 198929 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 10th January 198960 voles are marked and released. Later 32 are caught, of which 4 are marked. Estimate the population.
- 11th January 1989Write the recurring decimal 0.444... as a fraction in its simplest form.
- 12th January 1989For the curve y = -100/x, work out y when x = 10, and write down the equation of its vertical asymptote.
- 13th January 1989y is directly proportional to x. When x = 5, y = 45. Work out y when x = 7.
- 14th January 1989A, B and C are points on a circle with centre O. Angle AOC is 44°. Work out angle ABC, where B is on the major arc.
- 15th January 19893 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 16th January 1989A cumulative frequency graph is drawn for 48 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 17th January 1989Work out 100^(3/2).
- 18th January 1989Expand and simplify (x + 4)(x - 3)(x - 3).
- 19th January 1989A town's population is 32500 and grows by 4% each year. Work out the population after 2 years, to the nearest whole number.
- 20th January 1989A cone has base radius 9 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 21st January 198916 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 22nd January 1989A box plot has a minimum of 14 and a maximum of 66. Work out the range.
- 23rd January 1989Write sqrt(18) in the form a sqrt(b), where b is as small as possible.
- 24th January 1989Make x the subject of y = 8x^2 - 2.
- 25th January 1989A block has volume 40 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 26th January 1989In triangle ABC, angle A is 43°, angle B is 72° and side a is 20 cm. Use the sine rule to work out side b, to 1 decimal place.
- 27th January 19895 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 28th January 1989A box plot has minimum 8, lower quartile 18, median 25, upper quartile 32 and maximum 38. Work out the interquartile range.
- 29th January 1989A meal deal has 9 mains, 6 sides and 4 drinks. How many different meals are possible?
- 30th January 1989Factorise x^2 - 25.
- 31st January 1989x : y = 5 : 6. Write y in terms of x.