Daily Practice · Higher
November 1995 - Higher 5-a-day
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The batch download puts all 5 tiers' November 1995 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 1995
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 1995Work out the equation of the line parallel to y = -5x - 4 that passes through (3, -25).
- 2nd November 1995A town's population is 18500 and grows by 5% each year. Work out the population after 2 years, to the nearest whole number.
- 3rd November 1995A right-angled triangle has a hypotenuse of 5 cm and one shorter side of 3 cm. Work out the other shorter side.
- 4th November 19951 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 5th November 1995A box plot has a minimum of 20 and a maximum of 52. Work out the range.
- 6th November 1995A bill is £240 including VAT at 20%. Work out the amount before VAT.
- 7th November 1995A line has equation y = -2x + 1. Work out the gradient of any line perpendicular to it.
- 8th November 1995A block has volume 180 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 9th November 1995ABCD is a cyclic quadrilateral. Angle ABC is 87°. Work out angle ADC.
- 10th November 199515 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 11th November 1995A box plot has minimum 3, lower quartile 11, median 15, upper quartile 22 and maximum 30. Work out the interquartile range.
- 12th November 1995A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 13th November 1995For the curve y = -10/x, work out y when x = -1, and write down the equation of its vertical asymptote.
- 14th November 1995x : y = 2 : 9. Write y in terms of x.
- 15th November 1995A, B and C are points on a circle with centre O. Angle AOC is 90°. Work out angle ABC, where B is on the major arc.
- 16th November 19954 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 17th November 1995A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 18th November 1995Work out (12 x 10^9) / (2 x 10^4). Give your answer in standard form.
- 19th November 1995Expand and simplify (x + 4)(x - 4)(x + 3).
- 20th November 1995A price rises by 15% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 21st November 1995A cone has base radius 2 cm and vertical height 18 cm. Work out its volume, leaving your answer in terms of pi.
- 22nd November 199510 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 23rd November 1995A histogram class is 5 units wide and contains 15 values. Work out the frequency density.
- 24th November 1995Write the recurring decimal 0.666... as a fraction in its simplest form.
- 25th November 1995Make x the subject of y = 2x^2 - 9.
- 26th November 1995y is inversely proportional to x. When x = 8, y = 12. Work out y when x = 3.
- 27th November 1995In triangle ABC, angle A is 38°, angle B is 40° and side a is 8 cm. Use the sine rule to work out side b, to 1 decimal place.
- 28th November 19953 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 29th November 1995Four classes in order have frequencies 10, 3, 3, 12. Write down the cumulative frequency at the end of the third class.
- 30th November 1995Work out 216^(2/3).