Daily Practice · Higher
November 1954 5-a-day
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The batch download puts all 5 tiers' November 1954 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 1954
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 1954A price rises by 10% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 2nd November 1954A right-angled triangle has a hypotenuse of 20 cm and one shorter side of 12 cm. Work out the other shorter side.
- 3rd November 19548 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 4th November 1954A histogram class is 2 units wide and contains 6 values. Work out the frequency density.
- 5th November 1954A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 6th November 1954A line has equation y = 4x + 6. Work out the gradient of any line perpendicular to it.
- 7th November 1954y is inversely proportional to x. When x = 7, y = 15. Work out y when x = 3.
- 8th November 1954ABCD is a cyclic quadrilateral. Angle ABC is 87°. Work out angle ADC.
- 9th November 195418 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 10th November 1954Four classes in order have frequencies 6, 8, 8, 7. Write down the cumulative frequency at the end of the third class.
- 11th November 1954Work out (15 x 10^7) / (5 x 10^5). Give your answer in standard form.
- 12th November 1954For the curve y = -55/x, work out y when x = -5, and write down the equation of its vertical asymptote.
- 13th November 1954y is directly proportional to x^2. When x = 5, y = 200. Work out y when x = 2.
- 14th November 1954A, B and C are points on a circle with centre O. Angle AOC is 64°. Work out angle ABC, where B is on the major arc.
- 15th November 19541 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 16th November 195440 beetles are marked and released. Later 40 are caught, of which 8 are marked. Estimate the population.
- 17th November 1954Write the recurring decimal 0.333... as a fraction in its simplest form.
- 18th November 1954Expand and simplify (x + 2)(x - 3)(x + 4).
- 19th November 1954y is directly proportional to x. When x = 3, y = 21. Work out y when x = 12.
- 20th November 1954A cone has base radius 7 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 21st November 195429 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 22nd November 1954A cumulative frequency graph is drawn for 44 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 23rd November 1954Work out 25^(3/2).
- 24th November 1954Make x the subject of y = 4x^2 - 3.
- 25th November 1954A town's population is 36500 and grows by 5% each year. Work out the population after 4 years, to the nearest whole number.
- 26th November 1954In triangle ABC, angle A is 43°, angle B is 46° and side a is 20 cm. Use the sine rule to work out side b, to 1 decimal place.
- 27th November 19542 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 28th November 1954A box plot has a minimum of 8 and a maximum of 54. Work out the range.
- 29th November 1954Write sqrt(75) in the form a sqrt(b), where b is as small as possible.
- 30th November 1954Factorise x^2 - 36.