Daily Practice · Higher
November 1990 5-a-day
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The batch download puts all 5 tiers' November 1990 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 1990
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 1990A histogram class is 2 units wide and contains 3 values. Work out the frequency density.
- 2nd November 1990Write the recurring decimal 0.444... as a fraction in its simplest form.
- 3rd November 1990Work out the equation of the line parallel to y = -5x + 9 that passes through (1, 5).
- 4th November 1990y is inversely proportional to x. When x = 5, y = 12. Work out y when x = 12.
- 5th November 1990A right-angled triangle has a hypotenuse of 10 cm and one shorter side of 6 cm. Work out the other shorter side.
- 6th November 19904 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 7th November 1990Four classes in order have frequencies 12, 9, 6, 10. Write down the cumulative frequency at the end of the third class.
- 8th November 1990Work out 216^(2/3).
- 9th November 1990A line has equation y = -5x + 6. Work out the gradient of any line perpendicular to it.
- 10th November 1990y is directly proportional to x^2. When x = 3, y = 36. Work out y when x = 6.
- 11th November 1990ABCD is a cyclic quadrilateral. Angle ABC is 124°. Work out angle ADC.
- 12th November 199019 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 November 199020 newts are marked and released. Later 30 are caught, of which 3 are marked. Estimate the population.
- 14th November 1990Write sqrt(20) in the form a sqrt(b), where b is as small as possible.
- 15th November 1990For the curve y = 20/x, work out y when x = -4, and write down the equation of its vertical asymptote.
- 16th November 1990y is directly proportional to x. When x = 8, y = 96. Work out y when x = 15.
- 17th November 1990A, B and C are points on a circle with centre O. Angle AOC is 166°. Work out angle ABC, where B is on the major arc.
- 18th November 19902 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 19th November 1990A cumulative frequency graph is drawn for 104 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 20th November 1990A meal deal has 7 mains, 9 sides and 4 drinks. How many different meals are possible?
- 21st November 1990Expand and simplify (x - 2)(x - 3)(x + 1).
- 22nd November 1990A town's population is 30000 and grows by 3% each year. Work out the population after 4 years, to the nearest whole number.
- 23rd November 1990A cone has base radius 3 cm and vertical height 3 cm. Work out its volume, leaving your answer in terms of pi.
- 24th November 199026 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 25th November 1990A box plot has a minimum of 6 and a maximum of 36. Work out the range.
- 26th November 1990A mass is 770 kg, correct to the nearest 10. Write down the upper bound.
- 27th November 1990Make x the subject of y = 6x^2 - 10.
- 28th November 1990A block has volume 85 cm^3 and density 3 g/cm^3. Work out its mass.
- 29th November 1990In triangle ABC, angle A is 52°, angle B is 30° and side a is 8 cm. Use the sine rule to work out side b, to 1 decimal place.
- 30th November 19901 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.