Daily Practice · Higher
November 1959 5-a-day
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The batch download puts all 5 tiers' November 1959 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 1959
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 19593 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 2nd November 1959A cumulative frequency graph is drawn for 208 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 3rd November 1959Write 6^-1 as a fraction.
- 4th November 1959A line has equation y = -4x + 9. Work out the gradient of any line perpendicular to it.
- 5th November 1959A town's population is 31000 and grows by 8% each year. Work out the population after 5 years, to the nearest whole number.
- 6th November 1959ABCD is a cyclic quadrilateral. Angle ABC is 56°. Work out angle ADC.
- 7th November 195921 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 8th November 1959A box plot has a minimum of 5 and a maximum of 65. Work out the range.
- 9th November 1959Work out (5 x 10^7) x (8 x 10^2). Give your answer in standard form.
- 10th November 1959For the curve y = 25/x, work out y when x = -5, and write down the equation of its vertical asymptote.
- 11th November 1959A block has volume 15 cm^3 and density 8 g/cm^3. Work out its mass.
- 12th November 1959A, B and C are points on a circle with centre O. Angle AOC is 170°. Work out angle ABC, where B is on the major arc.
- 13th November 19591 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 14th November 1959A box plot has minimum 13, lower quartile 17, median 19, upper quartile 29 and maximum 34. Work out the interquartile range.
- 15th November 1959Write the recurring decimal 0.7171... as a fraction in its simplest form.
- 16th November 1959Expand and simplify (x - 1)(x + 4)(x + 1).
- 17th November 1959x : y = 5 : 7. Write y in terms of x.
- 18th November 1959A cone has base radius 3 cm and vertical height 12 cm. Work out its volume, leaving your answer in terms of pi.
- 19th November 195921 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 20th November 1959A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 21st November 1959A bill is £504 including VAT at 20%. Work out the amount before VAT.
- 22nd November 1959Make x the subject of y = 4x^2 - 11.
- 23rd November 1959A price rises by 25% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 24th November 1959In triangle ABC, angle A is 52°, angle B is 54° and side a is 6 cm. Use the sine rule to work out side b, to 1 decimal place.
- 25th November 19593 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 26th November 1959A histogram class is 2 units wide and contains 5 values. Work out the frequency density.
- 27th November 1959A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 28th November 1959Factorise x^2 - 81.
- 29th November 1959y is inversely proportional to x. When x = 7, y = 4. Work out y when x = 2.
- 30th November 1959A right-angled triangle has sides 9 cm, 40 cm and 41 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.