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11. (i) By long division, or otherwise, show that
2v3 — 5x2 + 4x = , _1x2, 1
‘Zx — \ 1 2a; — 1
Show that, for values of a; greater than
2a;3 — 5a;2 + 4a;
2a; — 1
is positive. (8)
(ii) Write down five consecutive integers the middle one
being n. Prove that the sum of the squares of any
five consecutive integers is exactly divisible by 5. (6)
12. (i) Find the length of the shortest side of a right-angled
triangle if it is 50 cm shorter than the hypotenuse and
49 cm shorter than the other side. (7)
(ii) After being serviced, a motor car travels 2 miles more
than previously for each gallon of petrol. As a result,
for the same amount of petrol the car now travels
165 miles instead of 155 miles. How many miles per
gallon did the car travel before being serviced ? (?)
(C3794I)
Page five
11. (i) By long division, or otherwise, show that
2v3 — 5x2 + 4x = , _1x2, 1
‘Zx — \ 1 2a; — 1
Show that, for values of a; greater than
2a;3 — 5a;2 + 4a;
2a; — 1
is positive. (8)
(ii) Write down five consecutive integers the middle one
being n. Prove that the sum of the squares of any
five consecutive integers is exactly divisible by 5. (6)
12. (i) Find the length of the shortest side of a right-angled
triangle if it is 50 cm shorter than the hypotenuse and
49 cm shorter than the other side. (7)
(ii) After being serviced, a motor car travels 2 miles more
than previously for each gallon of petrol. As a result,
for the same amount of petrol the car now travels
165 miles instead of 155 miles. How many miles per
gallon did the car travel before being serviced ? (?)
(C3794I)
Page five
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| Scottish school exams and circulars > Scottish Certificate of Education > 1962 > (89) |
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| Permanent URL | https://digital.nls.uk/130807592 |
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| Shelfmark | GEB.16 |
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| Description | Examination papers for the School Leaving Certificate 1888-1961 and the Scottish Certificate of Education 1962-1963. Produced by the Scotch (later 'Scottish') Education Department, these exam papers show how education developed in Scotland over this period, with a growing choice of subjects. Comparing them with current exam papers, there are obvious differences in the content and standards of the questions, and also in the layout and use of language |
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