Daily Practice · Higher
February 1965 5-a-day
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The batch download puts all 5 tiers' February 1965 sheets in a single PDF, each tier behind its own divider page - 140 sheets in one file.
Every sheet in February 1965
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 1965A right-angled triangle has a hypotenuse of 20 cm and one shorter side of 16 cm. Work out the other shorter side.
- 2nd February 19651 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 3rd February 1965Four classes in order have frequencies 6, 3, 7, 5. Write down the cumulative frequency at the end of the third class.
- 4th February 1965Work out (4 x 10^3) x (9 x 10^4). Give your answer in standard form.
- 5th February 1965A line has equation y = 5x + 3. Work out the gradient of any line perpendicular to it.
- 6th February 1965y is directly proportional to x^2. When x = 6, y = 108. Work out y when x = 4.
- 7th February 1965ABCD is a cyclic quadrilateral. Angle ABC is 54°. Work out angle ADC.
- 8th February 196514 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 9th February 196540 newts are marked and released. Later 21 are caught, of which 3 are marked. Estimate the population.
- 10th February 1965Write the recurring decimal 0.1414... as a fraction in its simplest form.
- 11th February 1965For the curve y = 6/x, work out y when x = 2, and write down the equation of its vertical asymptote.
- 12th February 1965y is directly proportional to x. When x = 8, y = 32. Work out y when x = 10.
- 13th February 1965A, B and C are points on a circle with centre O. Angle AOC is 150°. Work out angle ABC, where B is on the major arc.
- 14th February 19655 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 15th February 1965A cumulative frequency graph is drawn for 144 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 16th February 1965A bill is £72 including VAT at 20%. Work out the amount before VAT.
- 17th February 1965Expand and simplify (x + 1)(x + 4)(x - 4).
- 18th February 1965A town's population is 24000 and grows by 6% each year. Work out the population after 4 years, to the nearest whole number.
- 19th February 1965A cone has base radius 5 cm and vertical height 12 cm. Work out its volume, leaving your answer in terms of pi.
- 20th February 196521 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 21st February 1965A box plot has a minimum of 7 and a maximum of 25. Work out the range.
- 22nd February 1965A code is 2 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 23rd February 1965Make x the subject of y = 5x^2 - 4.
- 24th February 1965A block has volume 90 cm^3 and density 4 g/cm^3. Work out its mass.
- 25th February 1965In triangle ABC, angle A is 72°, angle B is 61° and side a is 17 cm. Use the sine rule to work out side b, to 1 decimal place.
- 26th February 19651 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 27th February 1965A box plot has minimum 1, lower quartile 11, median 13, upper quartile 22 and maximum 32. Work out the interquartile range.
- 28th February 1965Work out (24 x 10^11) / (8 x 10^3). Give your answer in standard form.